61. Basic Library List-Topology MAA recommended books in General, Geometric, Algebraic and Differential Topology.Category Science Math Topology...... Verlag, 1983, 1990. * artin, emil. Introduction to Algebraic TopologyColumbus, OH Charles E. Merrill, 1969. * Blackett, Donald http://www.maa.org/BLL/topology.htm

TOPOLOGY Back to Table of Contents Topology: General Topology * Alexandroff, Paul. Elementary Concepts of Topology Mineola, NY: Dover, 1961. Arkhangelski i, A.V. and Pontrjagin, Lev S., eds. General Topology I: Basic Concepts and Constructions, Dimension Theory New York, NY: Springer-Verlag, 1990. * Bing, R.H. Elementary Point Set Topology Washington, DC: Mathematical Association of America, 1960. Bourbaki, Nicolas. Elements of Mathematics: General Topology New York, NY: Springer-Verlag, 1989. ** Chinn, William G. and Steenrod, Norman E. First Concepts of Topology Washington, DC: Mathematical Association of America, 1966. Dugundji, James. Topology Boston, MA: Allyn and Bacon, 1966. Fuks, D.B. and Rokhlin, V.A. Beginner's Course in Topology: Geometric Chapters New York, NY: Springer-Verlag, 1984. Gamelin, Theodore W. and Greene, Robert E. Introduction to Topology Philadelphia, PA: Saunders College, 1983. Gemignani, Michael C. Elementary Topology, Mineola, NY: Dover, 1990. Second Edition. Hausdorff, Felix. Set Theory

62. No Title awarded last year to one of Michael artin's former graduate students, David Harbaterat the University of Pennsylvania.) His father, emil artin, is perhaps the http://www.math.okstate.edu/~wrightd/4613/4613/4613.html

Next: References Up: No Title MATH 4613 INFORMATION S ECTION 1, MWF 9:30 AM, HES 134 Instructor: David Wright, MS 527, 744-5688, Email: wrightd@math.okstate.edu URL: http://www.math.okstate.edu/~wrightd Office hours: MWF 10:30 AM-12:30 PM and T 4-5 PM at MS 527 and by appointment. Text: Algebra , 1st ed. (1995 printing), [ ] (similar level to Artin; excellent problems), [ ] for those who truly want to test themselves, [ ] for a wealth of applications, [ ] for interesting historical information. Prerequisites: Math 3613: Introduction to Modern Algebra, Math 3013: Linear Algebra. You should also be familiar with certain basic concepts in math: the rudiments of logic and proof, particularly proof by induction. This course will require detailed and complete written proofs. Syllabus: For this term, I am following Artin's suggestions very closely: Appendix 1-2, Ch. 1.1-5, 2.1-10, 3.1-4, 4.1-8, 5.1-7, 6.1-2. EXAMINATIONS: Two one-hour exams will be given, on Monday, Sep. 23 and Monday, Oct. 21 . A comprehensive final exam is also scheduled on Tuesday, Dec. 10, 10:30-12:30 PM

63. Wpack p. 7677. Vedete de subiect artin, emil. Ajutor Acasa Sus in pagina WorldPACCopyright(c) 1995,96 Electronic Online Systems (EOS) International. http://www.inid.ro/WorldPac/Eng/r000001/r000391.htm

64. AlgebraResources - History Biographies of those who contributed to Algebra. Abel, Niels Henrik. artin,emil. Boole, George. Burnside, William. Cauchy, Augustin Louis. Cayley, Arthur. http://www.central.edu/AlgebraResources/ARHistory.html

Links to History of Abstract Algebra Specific to Abstract Algebra The development of group theory Abstract linear spaces Matrices and determinants The fundamental theorem of algebra ... Quadratic, cubic and quartic equations Short overview of Modern Algebra A Brief History of Algebra and Computing: an Eclectic Oxonian View Biographies of those who contributed to Algebra Abel, Niels Henrik Artin, Emil Boole, George Burnside, William ... Sylvester, James Joseph General Mathematical History The MacTutor History of Mathematics archive - very complete and worthwhile Mathematician of the day History of Mathematics - by David Joyce List of links list of other sites

65. The Null Set: Resources: Books artin, emil. Galois Theory This book is the original and still definitive moderntreatment of Galois Theory, based on lectures the author gave in the thirties. http://www.princeton.edu/~mathclub/resources3.html

Resources: Books Following is a list of math books that members of the math club (or other mathematics students) have read. The books are organized by subject, and all citations are of the most recent edition (that the reviewer knows of). In addition, the Links page has a list of mathematics books available online. If you don't find what you're looking for, you might try the Chicago undergraduate mathematics bibliography , compiled by Christopher Jeris at MIT. We appreciate submissions of books in all areas, so please e-mail us at mathclub@princeton.edu Table of Contents Resources Computer Software Books General Interest Elementary Analysis Linear Algebra Abstract Algebra ... Practice Putnam Exams General Interest Top Courant, Richard and Herbert Robbins. What is Mathematics?

66. Vertriebene Translate this page Alt, Frank (1910-), 75, 183. artin, emil (1898-1963), 73, 155-157. Baer,Reinhold (1902-1979), 73, 153-154. Barneck, Alfred (1885-1964), 71, 173. http://www.mathematik.uni-bielefeld.de/DMV/archiv/pinl.html

Kollegen in einer dunklen Zeit In den Jahresberichten der DMV zwischen 1969 und 1974 hat Max Pinl unter dem obigen Titel derjenigen Fachkollegen gedacht, die durch die Unmenschlichkeit des nationalsozialistischen Regimes ihre Heimat, ihre Stellung oder gar ihr Leben verloren haben. A B C D ... Z Alt, Frank (1910-) Artin, Emil (1898-1963) Baer, Reinhold (1902-1979) Barneck, Alfred (1885-1964) Basch, Alfred (1882-1958) Baule, Bernhard (1891-1976) Behrend, Felix (1911 - 1962) Bergmann, Gustav (1906- ) Bergmann, Peter (1915- ) Bergman, Stefan (1895-1977) Bernays, Paul (1888-1977) Bernstein, Felix (1878-1956) Bers, Lipman (1914-1993) Berwald, Ludwig (1883-1942) Blumenthal, Otto (1876-1944) Portr. bei S. 82 Bochner, Salomon (1899-1982) Brauer, Alfred (1894-1985) Brauer, Richard (1901-1977) Breuer, Samson (1891-) Busemann, Herbert (1905-) Caemmerer, Hanna von (1914-1971) Cohn-Vossen, Stefan (1902-1936) Courant, Richard (1888-1972) Dehn, Max (1878-1952) Portr. bei S. 182 Duschek, Adalbert (1895-1957) Eckhart, Ludwig (1890-1938) Einstein, Albert (1879-1955)

67. Records For Riboud, Marc. Angkor, Sérénité Bouddhique. English. (in MARION) Rings (Algebra). Records 1 to 7 of 7. artin, emil, 18981962. Rings with minimumcondition / by emil artin, Cecil J. Nesbitt and Robert M. Thrall. http://js-catalog.cpl.org:60100/MARION/@RINGS ALGEBRA/f65c6100a100/0

Riboud, Marc. Angkor, sérénité bouddhique. English. Not found or no more entries match key Data on this system is ©Board of Trustees, Cleveland Public Library.

68. The Science Bookstore - Books artin, emil. Elements of Algebraic Geometry. New York New York University,1955. 142 4to. Clothbacked printed wrappers. Very fine condition. http://www.thesciencebookstore.com/bookmain.asp?bookcat=Mathematics

69. Artin Reciprocity Celebration Universiteit van Amsterdam, the Netherlands; 3 March 1998.Category Science Math Number Theory Events Past Events......Tuesday, March 3, 1998 Universiteit van Amsterdam. On March 3, 1898, emil Artinwas born in Vienna as the son of an art dealer and an opera singer. http://turing.wins.uva.nl/~psh/ntpage/artin.html

Artin Reciprocity Celebration Tuesday, March 3, 1998 Universiteit van Amsterdam On March 3, 1898, Emil Artin was born in Vienna as the son of an art dealer and an opera singer. Many mathematicians are familiar with the occurrence of his name on the title page of Van der Waerden's Algebra . Artin's most famous contribution to number theory is the Artin reciprocity law In Holland, Artin's centenary is celebrated at the Universiteit van Amsterdam. The program includes four talks for a general mathematical audience on subjects that Artin was particularly fond of. H. W. Lenstra, Jr. (RU Leiden and UC Berkeley) Quadratic reciprocity and Artin reciprocity P. Stevenhagen (Univ. van Amsterdam) Class field theory in practice J. Tate (Univ. of Texas at Austin) Artin and L-functions J. Tits (College de France) Buildings The Artin Reciprocity Celebration takes place in the big lecture hall (room P227) of the Department of Mathematics, Plantage Muidergracht 24, 1018 TV Amsterdam. Back to Peter Stevenhagen's home page.

70. Rechnernamen Im Fachbereich Mathematik & Informatik Translate this page artin, emil artin, geb. 3.März 1898 Wien, gest. 20.Dezember 1962 Hamburg. Forschteim Bereich der Zahlentheorie und der Algebra. attila, Hunnenkönig, gest. http://wwwmath.uni-muenster.de/math/IVV/math/Namen/Rechner.html

uns das doch bitte kurz mit. Welchen Zweck verfolgt diese Seite? Ich Nachschlagewerke unserer rumspielen. T y p Rechner A - abel Niels Hendrik Abel adams alberich R. Wagner musikalisch in " Der Ring des Nibelungen " umgesetzt. aki Frei erfundener Name. arminius ancalagon Ancalagon der Schwarze, ein Drache aus der Welt "Mittelerde" von J.R.R.Tolkien. aristoteles griech. Philosoph und Universalgelehrter artin Emil Artin Hamburg Forschte im Bereich der Zahlentheorie und der Algebra. attila B - babbage Charles Babbage , geb. 26.Dezember 1792 Teignmouth, gest. 18.Oktober 1871 London. Differenzenmaschinen Weitere Links: C. Babbage Institute ballade frei erfundener Name bernays Isaak Paul Bernays , geb. .Oktober 1888 London, gest. 18.September 1977 bessel Mathematiker und Astronom. bolzano Bernard Bolzano , geb. 5.Oktober 1781 Prag, gest. 18.Dezember 1848 Prag. Arbeitete im Bereich der Analysis und der Mengenlehre. boole George Boole , geb. 2.November 1815 Lincoln, gest. 8.Dezember 1864 Bellintemple. Die von ihm initierte Boolesche Algebra findet heute Anwendung in der Mengenlehre, Aussagenlogik und der Schaltalgebra.

71. Help Math 252 Samuel QA251.Z3 Galois theory by Stewart, Ian QA214.S74 Galois Theory by HaroldEdwards QA247.E383 Modern Higher Algebra by artin, emil QA171.A76 Algebra by http://www.emba.uvm.edu/~flynn/spring2003/math252/help.html

John Flynn flynn@emba.uvm.edu www.emba.uvm.edu/~flynn Math 252 Algebra II Help Course Homepage Homework Exams Syllabus ... Help Help Sources Come to my office if you need help. You might also look at some other texts, sometimes it helps to see things written in another way. There is a long list of texts below. Office Hours Monday, Wednesday, Friday 12.10 to 1pm, except on the following Mondays: Feb 3, Feb 10, Feb 24, March 10 when the office hour begins at 1.20pm. No office hours on the week of March 3 through 7. Office: Room 405 in the Math Department, 16 Colchester Ave Other Texts There are many Abstract Algebra texts. The UVM library has most of these. Try using Voyager to search with subject "abstract algebra". The list below is arranged, roughly, by increasing difficulty. Rings, Fields and Groups, An Introduction to Abstract Algebra by R. B. J. T. Allenby Contemporary Abstract Algebra by Joseph A. Gallian A First Course in Abstract Algebra by John B. Fraleigh

72. Nat'l Academies Press, Nobel Prize Women In Science: (2001), Index Peter, 63 Arrhenius, Svante, 31 Arthritis, rheumatoid, 235, 240, 253, 295 Artificialradioactivity, 45, 35, 36, 134-136, 138, 187, 271 artin, emil, 77 artin http://www.nap.edu/books/0309072700/html/433.html

Nobel Prize Women in Science: Their Lives, Struggles, and Momentous Discoveries, Second Edition Joseph Henry Press ( JHP Related Books Openbook Linked Table of Contents Front Matter, pp. i-xii 1 A Passion for Discovery, pp. 1-8 2 Marie Sklodowska Curie, pp. 9-36 3 Lise Meitner, pp. 37-63 4 Emmy Noether, pp. 64-90 5 Gerty Radnitz Cori, pp. 91-116 7 Barbara McClintock, pp. 144-174 8 Maria Goeppert Mayer, pp. 175-200 9 Rita Levi-Montalcini, pp. 201-224 10 Dorothy Crowfoot Hodgkin, pp. 225-253 11 Chien-Shiung Wu, pp. 254-278 12 Gertrude Belle Elion, pp. 279-302 13 Rosalind Elsie Franklin, pp. 303-331 14 Rosalyn Sussman Yalow, pp. 332-354 15 Jocelyn Bell Burnell, pp. 355-377 Afterword, pp. 406-407 Notes, pp. 408-429 Picture Acknowledgments, pp. 430-432 Index, pp. 433-459 About the Author, pp. 460-460 THIS PAGE You may want to explore these Related Books Openbook Linked Table of Contents Front Matter, pp. i-xii 1 A Passion for Discovery, pp. 1-8 2 Marie Sklodowska Curie, pp. 9-36 3 Lise Meitner, pp. 37-63 4 Emmy Noether, pp. 64-90 5 Gerty Radnitz Cori, pp. 91-116

73. ±q¤×©Ô¼Æ E ¨ì Stirling ±`¼Æ 1.artin, emil The Gamma Function, Holt, Rinehart Winston, Inc., New York, 1964.2.artin, emil Einf hrung in die Theorie der Gammafunktion, Teubner, 1931. http://episte.math.ntu.edu.tw/articles/mm/mm_20_1_03/

·j´M ¡D­ì¸ü©ó¼Æ¾Ç¶Ç¼½²Ä20¨÷²Ä¤@´Á ¡D§@ªÌ·í®É¥ô±Ð©óªF®ü¤j¾Ç¼Æ¾Ç¨t ±q¤×©Ô¼Æ e ¨ì Stirling ±`¼Æ ¨H²W·½ ºK­n §Ú­Ì±q¤×©Ô¼Æ e °µ¬°³o½g¤å³¹ªºµ²§ô¡C e x ¨ä¾É¼Æ´N¬O¥¦¦Û¤v¡C ¨ä¦¸, ³o­Ó¼Æ¦³¦hºØ¤£¦Pªº©w¸q¤èªk©Îªí¥Üªk: §Ú­Ì¥i¥H©w¸q e ¬°µL½a¯Å¼Æ ªº©M, §Ú­Ì¤]¥i¥H©w¸q e ¬°¼Æ¦C ªº·¥­­­È¡C¬°¤F¤è«K°_¨£, §Ú­ÌºÙ«eªÌ¬°¯Å¼Æªí¥Üªk, «áªÌ¬°·¥­­ªí¥Üªk¡C ³Ì«á, ¦bªìµ¥·L¿n¤À¤¤, §Ú­Ì©w¸q e ´N¬O¨º°ß¤@ªº¥¿¼Æ¨Ï±o©w¿n¤À ªº­Èµ¥©ó 1¡C ²Ä¤TºØ©w¸qªº¤èªk¤£¬O¤Ó¦n, ¦]¬°³s§A­n¦ô­p¤@¤U¥¦ªº¤j¤p¤]¤£¬O¨º»òÅãµM¡C ¯Å¼Æªí¥Üªk»·¤ñ·¥­­ªí¥Üªk¦n, ¦¹³B©Ò¿×ªº¦n, ¬O¤ñ¸û¨äÁͪñ©ó e ªº³t«×¡C «eªÌ»·¤ñ«áªÌ§Ö, ¦Ó¥B§Ö«Ü¦h¡C¥B¬Ý¤U­±ªº­pºâ: n , ¯Å¼Æªí¥Üªk¥iºë½T¨ì¤p¼ÆÂI«á²Ä7¦ì; ¦Ó n , «o¥iºë½T¨ì¤p¼ÆÂI«á²Ä22¦ì¡C¦ý·¥­­ªí¥Üªk, ·í n ¤j¨ì ®É, ¤~ºë½T¨ì¤p¼ÆÂI«á²Ä 6¦ì¡C¹ê»Ú¤W, ¦ô­p »P e ¤§¶¡ªº®t¶Z, ¬O«D±`®e©öªº¡C¥B¬Ý¤U­±ªº¤£µ¥¦¡: ©Ò¥H§Ú­Ì¦³ e S , ¥H¤Î e S ; ¦p¤W­±ªº­pºâ©Òªí©úªÌ¡C ÁöµM¦p¦¹, ·¥­­ªí¥Üªk¨«D¤@µL¬O³B! §Ú­Ì¥B¬Ý¤U­±ªº¼Æ¾Ú: ³o§i¶D§Ú­Ì ³o¼Ëªº¤£µ¥¦¡¬O¤£¬O¥u¦³ n ªº®É­Ô¤~¹ï©O? ³Ì²±¶§Ö³tªº¿ìªk´N¬Oµe¤@¤U¹Ï§Î¡C Mathematica ´£¨Ñ¤F§Ú­Ì¤U­±ªº¹Ï§Î(¥Ñ¤W¨ì¤U¤À§O¬°¤U­±¤T­Ó¨ç¼Æªº¹Ï§Î): ©Ò¥H§Ú­Ì¦³«Ü¦nªº²z¥Ñ, §@¤U­±ªº²q´ú:

74. Andrey Nikolayevich Kolmogorov emil artin. Sinh ngµy 33-1898 t¹i Vienna, ¸o. MÊt ngµy 20-12-1962t¹i Hamburg, §øc. rtin (emil artin) ®· cã nh÷ng ®ãng http://www.hcm.fpt.vn/Chuyen_de/Mathematics/history-n/Emil_Artin.htm

75. Hall Of Fame Translate this page Apollonius, Werke. Archimedes, Werke. Aristoteles, Werke. artin, emil, GaloisscheTheorie. Bardey, Ernst, Arithmetische Aufgaben nebst Lehrbuch der Arithmetik. http://www.weiss-leipzig.de/teubner-hall-of-fame-1845-bis-2000.htm

Hall of Fame: B. G. Teubner 1845 - 2000 An dieser Stelle der Homepage erscheint eine (natürlich subjektive) Auswahl von Teubner-Titeln, die - für die Entwicklung des mathematisch-naturwissenschaftlichen Verlagsprogramms / für das Ansehen des Verlages besonders wichtig waren (z. B. die erste technische Schrift bei BGT von F. Kohl 1845, das erste mathematische Werk bei BGT von T. Franke 1849 und auch F. Kleins Autographierte Vorlesungshefte ab 1889), - die wesentlich zur wissenschaftlichen Entwicklung beigetragen haben, - die wirtschaftlich sehr erfolgreich waren - oder die hoffentlich bald wieder im Buchhandel erhältlich sein werden (z. B. die Bände von Ahrens, Poincare und auch Lorentz/Einstein/Minkowski ...). Schrittweise werden weitere Originaltitelseiten / erste Umschlagseiten / Links eingefügt. Demnächst folgen hier auch Teubner-Bücher der Jahre 1948 bis 2000. Vorschläge / Anregungen bitte an: Jürgen Weiß Lektorat im Haus des Buches Gerichtsweg 28. D-04103 Leipzig

76. History Of Astronomy: What's New At This Site On March 8, 1999 Find more about Ardenne with Alta Vista. artin, emil (18981962) Shortbiography and references. Aryabhata the Elder (476-550(499?)) http://www.astro.uni-bonn.de/~pbrosche/new/new990308.html

History of Astronomy What's new History of Astronomy: What's new at this site on March 8, 1999 Several URLs have been updated. Welcome / About Search this site Slightly updated Site map (complete Table of Contents) updated Acknowledgements updated History of astronomy Persons A Abraham bar Hiyya Ha-Nasi (1070-1136) Short biography and references Adams, John Frank (1930-1989) Short biography and references Ardenne, Manfred von (1907-1997) Physicist, amateur astronomer Very short biography Short biography (in German) Biographical data (in German) Sternwarte "Manfred von Ardenne" , Dresden, Germany (in German) Manfred-von-Ardenne Gymnasium , Riesa-Weida, Germany (in German) Find more about Ardenne with Alta Vista Artin, Emil (1898-1962) Short biography and references Aryabhata the Elder (476-550(499?)) Short biography and references Short biography B Barocius [Barozzi], Franciscus [Francesco] (1537-1604) Short biography and references Benedetti, Giovanni Battista (1530-1590) Short biography and references Billy, Jacques de (1602-1679)

77. Le Romain Des Mots-croisés. **Mathématiciens Translate this page artin (emil) NÉ, A, VIENNE (1898-1962) CANTOR (GEORG) NÉ, A, ST-PETERSBOURG (1845-1918)DEDEKIND (RICHARD) NÉ, A, BRUNSWICK (1831-1916) DIRICHLET (GUSTAV http://www.mots-croisiste.com/19.html

Index général aéroport affluents Centrale nucléaire et hydroélectriques Chefs-Lieux Collines de Rome Communes Compositeurs Constellations Cyclades Déesses Dieux Divinités Écrivains Fleuves Côtier FLeuves des enfers Fleuves Historiens Homme d'état Homme Politiques Lacs Massifs Mathématiciens Noms Peintres Poètes Ports et Ports Fluviaux Rivières Sculteurs Théologiens Torrents Villes MATHEMATICIENS MATHEMATICIENS, ALLEMANDS. ARTIN (EMIL) NÉ, A, VIENNE (1898-1962) CANTOR (GEORG) NÉ, A, ST-PETERSBOURG (1845-1918) DEDEKIND (RICHARD) NÉ, A, BRUNSWICK (1831-1916) DIRICHLET (GUSTAV LEJEUNE) NÉ, A, DUREN(1805-1859) FUCHS (LAZARUS) NÉ, A, MOSCHIN (1833-1902) GAUSS (CARL FRIEDRICH) NÉ, A, BRUNSWICK) (1777-1855) GRASSMANN (HERMANN) NÉ, A, STETTIN (1809-1877) HAUSDORFF(FELIX) NÉ, A, BRESLAU (1868-1942) HILBERT (DAVID) NÉ, A, KONIGSBERG (1862-1943) JACOBI (CARL) NÉ, A, , POTSDAM (1804-1851) KLEIN (FELIX) NÉ, A, DUSSELDORF (1849-1925) KRONECKER (LEOPOLD) NÉ, A, LIEGNITZ (1823-1891) KUMMER (ERNST EDUARD ) NÉ, A, SORAU (1810-1893) LEIBNIZ (GOTTFRIED WILHELM) NÉ, A, LEIPZIG (1646-1716) LINDEMANN (FERDINAND VON ) NÉ, A, HANOVRE (1852-1939)

78. Wishlist Math/Science/Computer Books artin, emil The Gamma Function ; Berlekamp,Conway, and Guy Winning Ways for Your Mathematical Plays Vol. http://www.yak.net/random/wishlist.html

got dough? You actually want to get me a gift? Sweet! A warning, though. Textbooks have gotten really expensive. I'd guess the average price for one is $70 USD. If you want to get books from the ACM contact me for my username/password so you can get a neato student discount. Looking for good deals? Try addall This list is not the be-all end-all, but it's better than haphazardly guessing at books in my field, if that's the sort of thing you're looking to get :-) Math/Science/Computer Books: Artin, Emil "The Gamma Function" Berlekamp, Conway, and Guy Winning Ways for Your Mathematical Plays Vol. 3-4 see the publisher's web site Knuth, Donald E. "MMIXware: A RISC Computer for the Third Millennium" Music Sade - Love Deluxe Movies Preference: DVDs, then VHS Promises Books that would be nice to have when I have a house to put them in: Alexander, Christopher. "A Pattern Language : Towns, Buildings, Construction" Alexander, Christopher. "The Oregon Experiment" Alexander, Christopher.

79. 11R: Algebraic Number Theory: Global Fields ISBN 3540-58655-5; artin, emil; Tate, John Class field theory , Addison-WesleyPublishing Company, Advanced Book Program, Redwood City, CA, 1990. 259 pp. http://www.math.niu.edu/~rusin/known-math/index/11RXX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 11R: Algebraic number theory: global fields Introduction History Applications and related fields For complex multiplication, See 11G15 The rings of integers in these fields are also studied in Commutative Ring Theory , where we may find discussion of Unique Factorization Domains (UFDs), Euclidean domains, etc. Subfields Algebraic numbers; rings of algebraic integers PV-numbers and generalizations; other special algebraic numbers Polynomials (irreducibility, etc.) Quadratic extensions Cubic and quartic extensions Cyclotomic extensions Other abelian and metabelian extensions Other number fields Iwasawa theory Units and factorization Class numbers, class groups, discriminants Galois theory Integral representations related to algebraic numbers; Galois module structure of rings of integers, See Also 20C10 Galois cohomology, See also 12Gxx, 16H05, 19A31 Class field theory Langlands-Weil conjectures, nonabelian class field theory, See also 11Fxx, 22E55

80. Artin's Conjecture Conjecture 3.1 (emil artin) If is not or a perfect square, then the number ofprimes such that is a primitive root modulo is asymptotic to , where is a http://modular.fas.harvard.edu/edu/Fall2001/124/lectures/lecture11/lecture11/nod

Next: About this document ... Up: Lecture 11: Primitive Roots Previous: The Structure of Artin's Conjecture Conjecture 3.1 (Emil Artin) If is not or a perfect square, then the number of primes such that is a primitive root modulo is asymptotic to , where is a constant that depends only on . In particular, there are infinitely many primes such that is a primitive root modulo Nobody has proved this conjecture for even a single choice of . There are partial results, e.g., that there are infinitely many such that the order of is divisible by the largest prime factor of . (See, e.g., Moree, Pieter, A note on Artin's conjecture William A Stein 2001-10-13

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