41. HISTORICAL THINGS IN NUMBER THEORY RMS 46 (1991) 241243); leonard carlitz (MacTutor); Eugène Charles Catalan (MacTutor);Nikolai Grigorevich Chebotarëv, P. Stevenhagen, HW Lenstra Jr., Math. http://www.mri.ernet.in/~mathweb/NTW/N14.html

Historical things in Number Theory History of Number Theory (Franz Lemmermeyer) Some biographies of past contributors to number theory Cornell Digital Library Math Collection : Old Mathematics books listed by Title - including Hensel, Sommer Mathematicians of the Seventeenth and Eighteenth Centuries , Hasse's work on the Riemann hypothesis for curves over finite fields - An historical perspective by Professor Peter Roquette (plus notes on class-field theory, Artin L-functions, Erich Hecke) Two Hundred Years of Number Theory after Carl-Friedrich Gauss's Disquisitiones Arithmeticae , A list of lectures at an Oberwolfach conference, June 17-23, 2001 Biographies Life and work of Vojtech Jarnik The Man Who Knew Infinity (A life of the genius Ramanujan), R. Kanigel, Washington Square Press 1992 The Apprenticeship of a Mathematician Prizes Henri Cohen receives the F.L. Bauer Prize Wolf Prize Recipients in Mathematics Steele Prizes 1995 Steele Prizes (includes Serre and Tate) 1996 Steele Prizes (includes Berndt and Shimura) AMS-MAA-SIAM Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student Andrew Wiles Receives NAS Award in Mathematics ... 1997 Cole Prize (Andrew Wiles) Photos Notes and photos from Oberwolfach : Explicit Methods in Number Theory Meeting, July 22-28, 2001 (William A. Stein)

42. The Mathematics Collection In Duke University Libraries its own. Two Duke mathematicians (Dr. JD Thomas and Dr. leonard carlitz)went to Europe to purchase math books. These books formed http://www.lib.duke.edu/collect/math.htm

duke libraries catalog databases ask a librarian ... contact us The Mathematics Collection The original mathematics collection was housed in the General Library. In 1938/39 upon invitation by the Physics Department, the mathematics books were moved into the Physics Library and the name was changed to Physics-Mathematics Library. At that time the Physics Building was the current Social Sciences Building on the Main Quadrangle. The existing location was built in 1948 with an addition in 1963. The name of the library was officially changed to Math-Physics Library in 1978 when the Library system joined the OCLC network. At this time (1997) the Math-Physics collection consists of 110,000 volumes with about 20,000-30,000 volumes in local and remote storage. Formats include paper, cd-rom, microform, computer diskettes, and videos. Of growing interest is the provision of electronic access to bibliographic databases, reference materials, and electronic journals through the World Wide Web and the Internet. The library supports undergraduate instruction with a collection of the most important textbooks in the major areas of mathematics. The intent is to offer a variety of texts rather than to have an exhaustive collection. The collection excludes support for SAT exams and high school equivalency exams; and it does not collect preprints and reprints.

43. Ruth Favro of prime characteristic p. Beginning in the 1930's, leonard carlitz began workingwith functions over a polynomial ring with coefficients in a finite field. http://cs.nmu.edu/colloquium/speakers/2001 MAA/favro.htm

Ruth Favro Lawrence Technological University “A Mathematical Tourist” In search of Gaspard Monge in Paris: from rue Monge to the Ecole Polytechnique (old and new) and points in between. Brian Snyder Lake Superior State University "Magic Numbers in the Arithmetic of Function Fields" We will examine the structure of continuous functions on a function field of prime characteristic p. Beginning in the 1930's, Leonard Carlitz began working with functions over a polynomial ring with coefficients in a finite field. In particular, these functions were used to evaluate sums of powers of polynomials of fixed degrees which have a simple formula based on their p-adic expansion. We will examine the basis of higher order differential operators to help explain the significance of these numbers and see an example of their use. Andrew Poe Northern Michigan University “Reevaluating Sorting” Sorting algorithms are fundamental to computer science. Most computer science students learn about them in their first year of computer science. Sorting, itself, has been considered pretty much a "done deal" since the 1960's. However, general purpose sorting software appears to be based on theoretical principles better applied to computers of the 1960's than to computers of the present era. "Traditional" sorting algorithms are rethought, represented, and compared to Hoare's QuickSort algorithm as traditionally implemented within the C programming language (as well as in other places).

44. Www-cs-faculty.stanford.edu/~knuth/err1.textxt 6th carlitz, leonard, 96, 499, 506. % 6th Case Institute of Technology,i. % 6th Cassini, Gian (= Giovanni = Jean) Domenico (= Dominique), 81. http://www-cs-faculty.stanford.edu/~knuth/err1.textxt

45. IBM Systems Journal, Volume 4, 1965 Franklin H. Branin Jr., Loren V. Hall, Julian Suez, Robert M. carlitz, Tien Chi Chen 5872;leonard H. Haines Serial Compilation and the 1401 FORTRAN Compiler. http://www.informatik.uni-trier.de/~ley/db/journals/ibmsj/ibmsj4.html

46. Rinovia Simanjuntak: Erdos Number There are eight authors with more than 500 papers Paul Erdös with 1475, Drumi Bainov(Erdös number 4) with 782, leonard carlitz (2) with 730, Lucien Godeaux http://www.cs.newcastle.edu.au/~rino/erdos.html

M y E N umber home resume research academic family tree miscellaneous links contact my other page God has the Big Book, the beautiful proofs of mathematical theorems are listed here. Paul who is what is an stats and facts W ho is E Links: A biography by The MacTutor History of Mathematics Archive in The New York Times. - www.paulerdos.com, a complete and well-mantained website by Paul Hoffman. - a page by The Computer Science Department at the University of Chicago. E english english English Fascist Anyone or anything annoying Epsilon Child or a little Order Mahler, OM (named after Mahler, one of the worst bridge players in Manchester) Someone performing very poorly Noise Classical music Boss Woman Poison Any alcoholic beverage Slave Man To preach To give a math lecture Do you exist? Are you awake? To die To stop doing math When did you arrive? When were you born? Captured Married To leave To die What was that when it was alive? What kind of meat is this? Liberated Divorced Sam U.S. My brain is open. I'm ready to do mathematics. Recaptured Remarried Joe U.S.S.R.

47. Graph Theory White Pages Anthony Edward Barkauskas Department of Mathematics University of Wisconsin La Crosse 1725 State StreetLa Crosse, Wisconsin 54601 USA Ph.D. 1972 Duke; leonard carlitz Algebraic and http://www.cs.columbia.edu/~sanders/graphtheory/people/Barkauskas.AE.html

48. Investing In Stocks - Date Index 234830 99 Introducing the panelists, MODERATOR Bob carlitz. Mon May In PrivateMarkets, Michael Jones; Investing in Stocks, Gerald leonard; Investing surplus http://www.network-democracy.org/social-security/nd/archive/invest/date1.html

National Dialogue Investing in Stocks Date Index Author Index Subject Index Sun May 16 23:48:30 99 Introducing the panelists MODERATOR: Bob Carlitz Mon May 17 00:03:18 99 Opening Statement PANELIST: Robert D. Reischauer Question to Panelists: USA vs Great Britain and Chile , Andre Dermant Defining the Debate: Wrong Problem; Wrong Focus , Walter Hart Opening Statement PANELIST: Carolyn Weaver Opening statementinvestment in stocks, bonds etc , Phyllis Joffe I'm For Personal SS Accounts: Here's Why. , ridgeway RE: I'm For Personal SS Accounts: Here's Why. , James RE: I'm For Personal SS Accounts: Here's Why.-not , phyllis joffe Invest In Private Markets , Michael Jones Investing in Stocks , Gerald Leonard Investing surplus in stocks? Why? What does it accomplish? , Bill Larsen RE: Opening statementinvestment in stocks, bonds etc , Jim Keller Second shot PANELIST: Robert D. Reischauer Tue May 18 10:40:14 99 RE: Second shot , Michael Jones Reischauer: Second shot: What is risk? , Andre Dermant RE: Second shot , Walter Hart RE: I'm For Personal SS Accounts: Here's Why.-not , Javier Jimenez RE: Investing in Stocks , Javier Jimenez RE: Opening statementinvestment in stocks, bonds etc

49. Investing In Stocks - Subject Index Mon May 31 233122 99). Introducing the panelists MODERATOR Bob carlitz (Sun May16 Investing in Stocks Gerald leonard (Mon May 17 205238 99); Javier Jimenez http://www.network-democracy.org/social-security/nd/archive/invest/subj1.html

National Dialogue Investing in Stocks Date Index Author Index Subject Index 2% private account. What benefit cut is right? Bill Larsen Wed May 19 21:16:03 99 2nd Try on Ms. W's Discussion Questions. ridgeway Mon May 24 14:26:35 99 Andy Lang - A National Treasure don hutchison Sun May 23 16:30:50 99 Andy Lang Mon May 24 13:04:12 99 Automatic compounding of TP's debt Don Hutchison Thu May 27 07:28:56 99 The Benefits of Ownership Javier Jimenez Tue May 18 18:08:18 99 Can U.S. be as bold as..... Sweden? PANELIST: Carolyn Weaver Mon May 31 14:58:58 99 Carolyn Weaver, National Treasure Don Hutchison Thu May 27 00:29:29 99 Comparison of 2% private account, Current OASI benefit, What was paid and what will be paid by age. Bill Larsen Wed May 26 23:42:27 99 Re: Complexity PANELIST: Carolyn Weaver Fri May 28 14:47:44 99 Complexity and Redistribution PANELIST: Carolyn Weaver Wed May 26 19:30:22 99 ridgeway Fri May 28 20:05:46 99 Complexity, Some Questions on the Topic, and Charles Ponzi PANELIST: Robert D. Reischauer Thu May 27 19:04:55 99 Michael Jones Fri May 28 13:21:53 99 Cost of Private Accounts Javier Jimenez Mon May 24 20:03:32 99 A Cry in the Wilderness Andre Dermant Sun May 23 01:07:57 99 Walter Hart Sun May 23 12:33:16 99 Michael Jones Mon May 24 00:40:31 99 DAILY SUMMARY May 18 - 19 SUMMARY: Ashley Schannauer Thu May 20 11:05:16 99 DAILY SUMMARY May 20 SUMMARY: Ashley Schannauer Mon May 24 22:24:01 99 DAILY SUMMARY May 21-22 SUMMARY: Barbara Brandon Mon May 24 22:26:32 99 DAILY SUMMARY May 23-24 SUMMARY: Barbara Brandon Wed May 26 00:13:49 99

50. Classmates Schelter, Jennifer. Schwartz, David. Sciarra, leonard. Shure, Michael. Weinberg,Gwen. Spring 1989. Blythe Whiteside, Karen. carlitz, Lauren. Chazan Meeker, Elizabeth. http://sumweb.syr.edu/dipa/Alumni/classmates_florence.htm

51. Www.clifford.org/anonftp/clf-alg/conferences/2001/01London.txt Another note on the total number of inversions of permutations on n elements wasrediscovered by leonard carlitz and his student Charles Church only in 1969. http://www.clifford.org/anonftp/clf-alg/conferences/2001/01London.txt

================================================================================= Title: Olinde Rodrigues Meeting, Imperial College, London (Dec 1, 2001) Subject: Workshop/Conference Announcement in Clifford Algebras Date: 2001/Nov/20 Updated: 2001/Nov/20 This File: HTTP://www.clifford.org/anonftp/clf-alg/conferences/2001/01London.txt Conference Info: http://www.clifford.org/~clf-alg/conferences.html - Dear Prof. Pezzaglia, I'll be most grateful if you could insert in your Newsletter this announcement. It is about a meeting on Olinde Rodrigues that will take place at Imperial College, London, on December 1. The meeting has been sponsored by the London Mathematical Society and the Societe Mathematique de France. Best personal wishes, Prof. Eduardo L. Ortiz Imperial Collge London Email:

52. Redirect leonard Eugene Dickson A Fundamental System of Invariants of the General ModularLinear Wagner Linear PseudoPolynomials over GFq,x; L. carlitz Finite Sums http://www.dtr.isy.liu.se/dtr/staff/mikael/references/search?searchtype=all&comb

53. On Single-Deletion-Correcting Codes - Sloane (ResearchIndex) leonard Schulman David (Correct) 0.5 Codes for Channels with Insertions 1967 3A theorem of Dickson on irreducible polynomials (context) carlitz - 1952 2 http://citeseer.nj.nec.com/sloane01singledeletioncorrecting.html

On Single-Deletion-Correcting Codes (2001) (Make Corrections) (1 citation) N.J.A. Sloane Home/Search Context Related View or download: att.com/~njas/doc/dijen.ps Cached: PS.gz PS PDF DjVu ... Help From: att.com/~njas/ (more) Homepages: N.Sloane HPSearch (Update Links) Rate this article: (best) Comment on this article (Enter summary) Abstract: . A survey of binary single-deletion-correcting codes. The VarshamovTenengolts codes appear to be optimal, but many interesting unsolved problems remain. The connections with shift-register sequences also remain somewhat mysterious. 1991 Mathematics Subject Classification: primary 94B60; secondary 94A55. 1. Introduction The possibility of packet loss on internet transmissions has renewed interest in deletion-correcting codes. (Of course there are many other applications of such codes, including ... (Update) Context of citations to this paper: More case of insertion deletion substitution channels 2 which model the effect of synchronization errors and have a long history A coding theorem for such channels in terms of maximizing mutual information over input distributions was proved in [5]... Cited by: More On Transmission Over Deletion Channels - Suhas Diggavi Matthias (Correct) Active bibliography (related documents): More All Asymptotically Good Codes Correcting Insertions.. - Leonard Schulman David

54. Duke Math News While at Duke, he worked in ergodic theory and combinatorics and publishedseveral papers many as a coauthor with leonard carlitz. http://www.math.duke.edu/math_news/April98/April98.html

Duke Math News - Sat May 2 20:58:27 1998 Math Department Celebration On Tuesday, April 28, the mathematics department will honor all math majors and, in particular, our various prize-winners at a party in the math department lounge. The events will begin in room 113 at 4:30 with a short presentation by Garrett Mitchener, Jeff Mermin and John Thacker of their award-winning paper on grade inflation. At 5:00, with the assistance of Dean Robert Thompson, scholarship recipients, participants in the Virginia Tech, Putnam and Mathematical Modeling competitions will be recognized and the Julia Dale and the Menger awards and checks will be conferred. This will be followed by plenty of food for all. All math majors, graduate students and faculty are encouraged to attend this event. For some students, this may be the last opportunity to meet and talk informally with math faculty and friends. A good calculator does not need artificial aids. Lao Tze, from the Tao Te Ching Contests Outstanding Modeling Team This year's team for the Mathematical Contest in Modeling spent from Friday morning until Monday afternoon in early February locked away in the depths of the Physics Building, working on the Grade Inflation Problem. The team, consisting of Jeff Mermin '00, John Thacker '01, and Garrett Mitchener '99, earned a ranking of Outstanding, the highest possible award. Only seven teams world wide earned such a high ranking. The team has been invited to present their paper at a math conference in Toronto, expenses paid. The two problems for this year were to render oblique cross sections of MRI scans, and to find a way to select the top ten percent of students in a college where the average grade is an A-. Unlike the problems in most math competitions, these problems have no single right answer. Solution papers are judged based on creativity, clarity, and completeness.

55. FIBONACCI sources, but using proofs which were the product of leonard's own ingenuity. carlitz,L., Reduction Formulas for Fibonacci Summations , Fibonacci Quarterly Vol http://faculty.evansville.edu/ck6/bstud/fibo.html

Fibonacci (c.1175 - c.1240) mathematician Fibonacci was probably the greatest genius of number theory during the 2000 years between Diophantus and Fermat. The sequence defined by F(1) = 1, F(2) = 1, and F(n) = F(n-1) + F(n-2) for n = 3, 4, 5, ... is named the Fibonacci sequence. Fibonacci, also known as Leonardo of Pisa, was born in Pisa, home of the famous leaning tower (inclined at an angle of 16.5 degrees to the vertical). Little is known of his life, and no portrait exists. However, a statue of Fibonacci was erected by the citizens of Pisa. In 1978, Frank Johnson took a picture, seen here, of the head of the Fibonacci statue, some fifteen feet above ground. The statue stands within the Fortezza Camp Santo off Lungarno Fibonacci or Via Fibonacci along the Arno River at Giardino Scotto (Teatro Estivo). One of the best modern sources of information about Fibonacci is the following article: A. F. Horadam , "Eight hundred years young," The Australian Mathematics Teacher With the kind permission of Professor Horadam and the editor of The Australian Mathematics Teacher

56. Www.math.ucl.ac.be/~magnus/num1a/rodrigues.txt representation theory. This paper of Rodrigues was lost from 1840 to 1970when it was mentioned in a paper by leonard carlitz. His student http://www.math.ucl.ac.be/~magnus/num1a/rodrigues.txt

sci.math #183956 (2 + 1869 more) From: conscience [1] Rodrigues formula Date: Tue Mar 18 03:24:49 EST 1997 Lines: 4 Hi! I am looking for the Rodrigues formula .I have heard about it in an article of robotics research and I would like more informations. thanks Mireille End of article 183956 (of 184476) what next? [npq] sci.math #182790 (1 + 1869 more) -[1] sci.math #183962 (4 + 1864 more) (1)+-[1] From: Ariel Scolnicov Message-Id: Subject: More on Rodrigues To: Magnus@anma.ucl.ac.be (Alphonse Magnus) Date: Sat, 29 Mar 1997 12:28:17 -0600 (CST) Cc: Claude.Brezinski@univ-lille1.fr, askey@math.wisc.edu, meinguet@anma.ucl.ac.be, pali+@osu.edu In-Reply-To:

57. J. Brillhart Abstract In the early 1960's, leonard carlitz published two papers in which a sequence ofpolynomials was derived from the generating function e^xsn^1(t,k), where sn^-1 http://www.math.uiuc.edu/Bulletin/Abstracts/October/oct10-97analnotheory.html

Department of Mathematics Weekly Calendar Abstract by Prof. J. Brillhart Certain Elliptic Integrals and Their Orthogonal Polynomials. In the early 1960's, Leonard Carlitz published two papers in which a sequence of polynomials was derived from the generating function e^xsn^-1(t,k) , where sn^-1(t,k) is the inverse of the Jacobi elliptic function sn(t,k) < k . He showed these polynomials formed an orthogonal sequence. This talk will settle the general question as to what functions f(t) can be used to obtain orthogonal sequences in the same way from the generating function e^xf(t) Much more is involved with this development beyond this basic question. One interesting feature is a kind of "looking-glass world" associated with the development. Some new information is obtained about the coefficients in the Maclaurin expansion of sn(t,k) and other Jacobi elliptic functions. The talk will be at the level I think Euler would have enjoyed. Thursday - October 16, 1997. 1:00 PM - 155 Altgeld Hall - ANALYTIC NUMBER THEORY SEMINAR

58. University Center For International Studies leonard Plotnicov, Professor, PhD, University of California, Berkeley. Katherine carlitz,Adjunct Professor Assistant Director Academic Affairs, Asian Studies http://www.ucis.pitt.edu/global/faculty_dept.html

University Center for International Studies Global Studies Program AFFILIATED FACULTY Alphabetical Faculty Listing Faculty Listing by Department/School A diverse faculty of nearly 150 members from multiple disciplines and schools are affiliated with the Global Studies Program. Please follow the links below for more detailed information about our faculty, organized by discipline. Faculty of Arts and Sciences Africana Studies Anthropology Biological Sciences Classics ... Regional Campuses Faculty of Arts and Sciences Africana Studies Joseph Adjaye, Professor and Chair, PhD, Northwestern University Top of Page Anthropology Joseph Alter, Associate Professor, PhD, University of California, Berkeley Marc Bermann, Associate Professor, PhD, University of Michigan L. Keith Brown, Professor, PhD, University of Chicago Nicole Constable, Associate Professor, PhD, University of California, Berkeley Kathleen DeWalt, Professor and Director, Center for Latin American Studies, PhD, University of Connecticut Robert Drennan, Professor, PhD, University of Michigan

59. University Center For International Studies Rosemary Capo, Geology Planetary Science, FAS. Katherine carlitz, EastAsian Languages Literatures, FAS. leonard Plotnicov, Anthropology, FAS. http://www.ucis.pitt.edu/global/faculty_alpha.html

University Center for International Studies Global Studies Program AFFILIATED FACULTY Alphabetical Faculty Listing Faculty Listing by Department/School A B C ... T U V W X Y ... Z Joseph Adjaye, Africana Studies, FAS Joseph Alter, Anthropology, FAS Barry Ames, Political Science, FAS Susan Andrade, English, FAS Reid Andrews, History, FAS Edward Anthony, Linguistics, FAS Top of Page Gianpaolo Baiocchi, Sociology, FAS Milica Bakic-Hayden, Religious Studies, FAS Carolyn Ban, GSPIA Carolyn Ban, GSPIA David Bearce, Political Science, FAS Daniel Berkowitz, Economics, FAS Marc Bermann, Anthropology, FAS Ellen Bishop, English, FAS Andrew Blair, Vice Provost for Faculty Affairs/Business Anthony Bledsoe, Biological Sciences, FAS Kathleen Blee, Sociology, FAS Clifford Bob, Political Science, Duquesne University Davis Bobrow, GSPIA Christopher Boettcher, English, FAS Monte Bohna, History, FAS Troy Boone, English, FAS Paul Bove, English, FAS Ronald Brand, Center for International Legal Education, LAW Max Brandt, Semester at Sea, UCIS Douglas Branson, LAW

60. Temples & Mountains carlitz, Katherine, Shrines, GoverningClass Identity, and the Cult of Widow Fidelityin Flower, John Pamela leonard, Defining Cultural Life in the Chinese http://www.missouri.edu/~religpc/Temples_&_Mountains.html

Terrain Temples of the Empress of Heaven . Hong Kong: Oxford University Press, 1999. Bujard, Marianne, "Les temples des Anciens Souverains. Notes de recherche." Sanjiao wenxian Carlitz, Katherine, "Shrines, Governing-Class Identity, and the Cult of Widow Fidelity in Mid-Ming Jiangnan." Journal of Asian Studies Chau, Adam Yuet, "The Dragon King Valley: Popular Religion, Socialist State, and Agrarian Society in Shaanbei, North-Central China." Thesis (Ph.D.), Stanford University, 2001, 281p. Abstract Cheng, Christina Miu Bing, "Beyond a Cultural Register: The Charm of Tian Hou." China Perspectives Sanjiao wenxian Dean, Kenneth, "Multiplicity and Individuation: The Temple Network of the Three in One Religion in Putian and Xianyou." In: Proceedings of the Conference on Temples and Popular Culture . Taipei: Center for Chinese Studies, 1995. Dean, Kenneth, "Transformation of the She (Altars of the Soil) in Fujian." Epigraphical Materials on the History of Religion in Fujian: Xinghua Region/Fujian zongjiao beiming huibian (Xinghua fu fence) . Fuzhou: Fujian Renmin Chubanshe, 1995.

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