1. Takakazu Satoh takakazu Satoh Associate Professor Saitama University, Department ofMathematics, Shimoohkubo 255, Urawa, Saitama, 338-8570 JAPAN http://www.rimath.saitama-u.ac.jp/lab.en/TkkzSatoh/TkkzSatoh.html

Takakazu Satoh Associate Professor Saitama University Department of Mathematics Shimo-ohkubo 255, Urawa, Saitama, 338-8570 JAPAN Research area: Number theory, especially: Modular forms and differential operators acting on them Properties of elliptic curves over finite or non Archimedean local fields my c.v. List of Papers Unpublished Preprint(s) Research announcement Point counting of a elliptic curve over GF(5 Mail to me Last update: There are no warranty, expressed or implied, with respect to the materials contained here in.

2. Takakazu Seki Kowa takakazu Seki Kowa nasceu em Março de 1642 em Fujioka (Japão), e morreu no dia 24 de outubro de 1708 em Edo (agora http://www.brasil.terravista.pt/magoito/1866/Historia/Kowa.htm

Takakazu Seki Kowa S E m 1674 Seki publicou Hatsubi Sampo, Leibniz S E

3. Seki Takakazu   . Seki takakazu.  . Lived 1640 to 1708. http://www.openhistory.org/jhdp/encyclopedia/Seki_Takakazu.html

Seki Takakazu Lived 1640 to 1708. (check these)

4. ‚¢‚‚©‚̃Œƒbƒc‚ç` 三菱グランディスのオーナー。チューニング。 http://homepage2.nifty.com/takakazu/

takakazu-5@nifty.com ‚悤‚±‚»u‚¢‚‚©‚̃Œƒbƒc‚ç`v‚ցI Å‹ßAISDNƒ‚ƒfƒ€‚̃ZƒbƒgƒAƒbƒvƒ~ƒX‚̉e‹¿‚©A‚½‚܂ɐڑ±‚ªI—¹‚Å‚«‚È‚­‚È‚èAŒÅ‚Ü‚è‚Ü‚·B‚±‚ê‚Á‚Ä‚â‚΂¢H ‚v‚ˆ‚‚”f‚“@‚m‚ ‚— FPANAPC‚̃TƒCƒgƒAƒhƒŒƒX•ÏX(2003/02/18) ƒJƒEƒ“ƒ^[Ý’u(2003/02/02) Let's@Grandis@Page‚©‚番—£“Æ—§iŽb’èjŒöŠJI(2003/02/01) @‚‚¢‚łɁAŒfŽ¦”‚͒²®’†‚Å‚·B‚²–À˜f‚ð‚¨‚©‚¯‚µ‚Ü‚·B ƒvƒƒtƒB[ƒ‹ ŒfŽ¦” ƒŒƒbƒc‚ç`ƒŠƒ“ƒN What's@New ... Let'sGrandisPage since 2003/02/01

5. Yumoto, Takakazu Tropical ecology. Profile. http://ecology.kyoto-u.ac.jp/member/yumoto.html

6. Seki Biography of takakazu Seki (16421708) takakazu Seki Kowa. Born March 1642 in Fujioka, Kozuke, Japan http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Seki.html

Takakazu Seki Kowa Born: March 1642 in Fujioka, Kozuke, Japan Died: 24 Oct 1708 in Edo (now Tokyo), Japan Click the picture above to see three larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Takakazu Seki was born into a samurai warrior family. However at an early age he was adopted by a noble family named Seki Gorozayemon. The name by which he is now known, Seki, derives from the family who adopted him rather than from his natural parents. Seki was an infant prodigy in mathematics. He was self-educated in mathematics having been introduced to the topic by a servant in the household who, when Seki was nine years old, realised the talent of the young boy. Seki soon built up a library of Japanese and Chinese books on mathematics and became acknowledged as an expert. He was known as 'The Arithmetical Sage', a term which is carved on his tombstone, and soon had many pupils. His position in life is described in [18] as follows:- In due time he, as a descendant of the samurai class, served in public capacity, his office being that of examiner of accounts to the Lord of Koshu, just as Newton became master of the mint under Queen Anne. When his lord became heir to the Shogun, Seki became Shogunate samurai and in

7. Takakazu Satoh Japanese Norsk takakazu Satoh Associate Professor Saitama University, Departmentof Mathematics, Shimoohkubo 255, Urawa, Saitama, 338-8570 JAPAN http://www.rimath.saitama-u.ac.jp/lab.en/TkkzSatoh/

Takakazu Satoh Associate Professor Saitama University Department of Mathematics Shimo-ohkubo 255, Urawa, Saitama, 338-8570 JAPAN Research area: Number theory, especially: Modular forms and differential operators acting on them Properties of elliptic curves over finite or non Archimedean local fields my c.v. List of Papers Unpublished Preprint(s) Research announcement Point counting of a elliptic curve over GF(5 Mail to me Last update: There are no warranty, expressed or implied, with respect to the materials contained here in.

8. Counting Points On Elliptic Curves Robert Harley, Pierrick Gaudry, Fran§ois Morain and Mireille Fouquet have established new records for point counting in characteristic 2, using a new algorithm due to takakazu Satoh. http://www.lix.polytechnique.fr/Labo/Mireille.Fouquet/elliptic.html

Counting points on elliptic curves One of the topics of my PhD research is point counting on elliptic curves using the new algorithm due to Takakazu Satoh. My colleagues Robert Harley, Pierrick Gaudry and François Morain and I have recently established new records for point counting in characteristic 2. A copy of the announcement of our 3001-bit record can be found here A copy of the announcement of our 5003-bit record can be found here A copy of the announcement of our 8009-bit record can be found here You can also find a copy of the paper we wrote about this algorithm and its implementation here Let E be the curve: over GF(2^n) . We represent the field as GF(2)[x]/(f(x)) where f is an irreducible polynomial of degree n . The coefficient we chose is: which comes from the ASCII encoding (ISO-8859-1) of the following line by Charles Baudelaire: N'es-tu pas l'oasis où je rêve? The results we obtained are 2^n + 1 - t where: n = 503 t = -31238564670483795450312817872056405257868594699 n = 1009 t = 807681026366028357085789135197617870605796659019 n = 1511 t = -28400768556934958867743240430395694772857313718 n = 2003 t = -54257716382449163322217965867619130414983986889 n = 2503 t = 375456780359377839428248525231477119570486033306 n = 3001 t = -14403755582543872125177435497927178175213015805 n = 3511 t = 414328759607065317343606376361429657475308002212 n = 4001 t = 801772519193752131932619560339947365971034799872 The polynomials f(x) and the run-times were: f(x) CPU Time Memory used

9. Seki takakazu Seki Kowa. Born March 1642 in Fujioka, Kozuke, Japan Died 24 Oct 1708in Edo (now Tokyo), Japan. takakazu Seki was born into a samurai warrior family. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Seki.html

Takakazu Seki Kowa Born: March 1642 in Fujioka, Kozuke, Japan Died: 24 Oct 1708 in Edo (now Tokyo), Japan Click the picture above to see three larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Takakazu Seki was born into a samurai warrior family. However at an early age he was adopted by a noble family named Seki Gorozayemon. The name by which he is now known, Seki, derives from the family who adopted him rather than from his natural parents. Seki was an infant prodigy in mathematics. He was self-educated in mathematics having been introduced to the topic by a servant in the household who, when Seki was nine years old, realised the talent of the young boy. Seki soon built up a library of Japanese and Chinese books on mathematics and became acknowledged as an expert. He was known as 'The Arithmetical Sage', a term which is carved on his tombstone, and soon had many pupils. His position in life is described in [18] as follows:- In due time he, as a descendant of the samurai class, served in public capacity, his office being that of examiner of accounts to the Lord of Koshu, just as Newton became master of the mint under Queen Anne. When his lord became heir to the Shogun, Seki became Shogunate samurai and in

10. Girls' Horror Comics Includes a magazine list and bibliographies for takakazu Nagakubo, Chie Watari, and other artists. http://www.thirteens.net/~ghc/

magazines devoted entirely to horror, suspense and/or mystery stories Susperia (which has now been folded into its sister publication Susperia Mystery ), the forum for Narumi Kakinouchi Vampire Miyu Kakinouchi Featured Authors ÔÎ˜H‘ã Michiyo Akaishi Chie Watari ‰i‹v•Û‹Mˆê ... Takakazu Nagakubo One of the true masters of the genre. Other Artists A B C E ... Links Search the Site AND OR Case Insensitive Sensitive Please send comments or corrections here ‚²ˆÓŒ©E‚²Žw“E‚Í ‚Öƒ[ƒ‹‰º‚³‚¢B

11. References For Seki References for takakazu Seki. Biography in Dictionary of Scientific Biography (NewYork 19701990). VII. (The works of takakazu Seki) (Japanese), Tôhoku Math. http://www-gap.dcs.st-and.ac.uk/~history/References/Seki.html

References for Takakazu Seki Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: Y Mikami, The Development of Mathematics in China and Japan (Leipzig-New York, 1913). Articles: M Fujiwara, Miscellaneous notes on the history of Wazan. VII. (The works of Takakazu Seki) (Japanese), T Hamada, Y Michiwaki and M Oyama, On the influence of the 'Seki's School versus the Saijo School controversy' in the provinces (Japanese), Sugakushi Kenkyu A Hirayama, On the 'Ketsugisho Tojutsu' of Takakazu Seki (Japanese), Sugakushi Kenkyu A Hirayama, The year in which Takakazu Seki copied the 'Yang Hui Suanfa' (Japanese), Sugakushi Kenkyu H Hirose, Takakazu Seki on astonomy and the calendar (Japanese), Sugakushi Kenkyu S Hosoi, The history of mathematics of Takakazu Seki (Japanese), Sugaku H Kato, On the work of Takakazu Seki (Japanese), Sugaku Y Michiwaki, T Hamada, O Toshio and M Oyama, On a mathematical problem for an anniversary of Takakazu Seki's death (Japanese), Sugakushi Kenkyu T Ogawa, Takakazu Seki - another type of mathematics? (Japanese), Sugaku 45 (1) (1993), 86-90.

12. References For Seki References for the biography of takakazu Seki VII. (The works of takakazu Seki) (Japanese), Tôhoku Math. http://www-groups.dcs.st-and.ac.uk/~history/References/Seki.html

References for Takakazu Seki Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: Y Mikami, The Development of Mathematics in China and Japan (Leipzig-New York, 1913). Articles: M Fujiwara, Miscellaneous notes on the history of Wazan. VII. (The works of Takakazu Seki) (Japanese), T Hamada, Y Michiwaki and M Oyama, On the influence of the 'Seki's School versus the Saijo School controversy' in the provinces (Japanese), Sugakushi Kenkyu A Hirayama, On the 'Ketsugisho Tojutsu' of Takakazu Seki (Japanese), Sugakushi Kenkyu A Hirayama, The year in which Takakazu Seki copied the 'Yang Hui Suanfa' (Japanese), Sugakushi Kenkyu H Hirose, Takakazu Seki on astonomy and the calendar (Japanese), Sugakushi Kenkyu S Hosoi, The history of mathematics of Takakazu Seki (Japanese), Sugaku H Kato, On the work of Takakazu Seki (Japanese), Sugaku Y Michiwaki, T Hamada, O Toshio and M Oyama, On a mathematical problem for an anniversary of Takakazu Seki's death (Japanese), Sugakushi Kenkyu T Ogawa, Takakazu Seki - another type of mathematics? (Japanese), Sugaku 45 (1) (1993), 86-90.

13. DBLP: Takakazu Mori dblp.unitrier.de takakazu Mori. List of publications from the DBLP BibliographyServer - FAQ 2002. 4, EE, takakazu Mori On the computability of Walsh functions. http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/m/Mori:Takakazu.html

Takakazu Mori List of publications from the DBLP Bibliography Server FAQ Ask others: ACM CiteSeer CSB Google ... EE Takakazu Mori: On the computability of Walsh functions. TCS 284 EE Takakazu Mori: Computabilities of Fine-Continuous Functions. CCA 2000 EE Yoshiki Tsujii Mariko Yasugi , Takakazu Mori: Some Properties of the Effective Uniform Topological Space. CCA 2000 EE Mariko Yasugi , Takakazu Mori, Yoshiki Tsujii : Effective Properties of Sets and Functions in Metric Spaces with Computability Structure. TCS 219 DBLP: [ Home Author Title Conferences ... Michael Ley (ley@uni-trier.de) Fri Mar 28 15:24:21 2003

14. Arabic Sahafa Online, Arabic News, Arabic Newspapers, Magazines, Radio & Televis Explore links to daily, weekly and monthly Arabic news sources, as well as to Arabic radio and television. INTERVIEW/takakazu Kuriyama U.S. doesn't need U.N. http://www.sahafa.com/

Sunday March 30, 2003 4:48:58 AM Username: Password: Forgot Your Password? Sahafa Home Register Now! My Sahafa Email ... Contact Us Need a Web Address? Now only $14.95! Best experienced using MS Internet Explorer 5 Your are 1 of Active Users. document.write(code); Mideast News World News Sports News Entertainment Mideast news Iraq claims plane, chopper shot down iafrica.com Mar 30 2003 7:45AM ET Iraq has barely two months of food, water iafrica.com Mar 30 2003 7:45AM ET War pause denied But the advance on Baghdad appears to have slowed BBC Mar 30 2003 7:38AM ET Suicide bomber wounds at least 30 in Israel CNN Mar 30 2003 7:37AM ET Suicide Bomber Wounds 30 In Israel CBS News Mar 30 2003 7:37AM ET Saddam Awards Family of Suicide Bomber Miami Herald Mar 30 2003 7:31AM ET Suicide Attack Wounds 30 on Israel Coast Miami Herald Mar 30 2003 7:31AM ET Egypt trial case could collapse BBC Mar 30 2003 7:31AM ET Big payout from Saddam Hussein to suicide bomber's family AP via New Jersey Online Mar 30 2003 7:31AM ET Religious party threatens to quit Sharon's government over Sabbath dispute AP via New Jersey Online Mar 30 2003 7:31AM ET Suicide bomb injures 26 in Israel ABC Online Mar 30 2003 7:30AM ET Suicide blast wounds 20 in Israel ABC Online Mar 30 2003 7:30AM ET Over 100,000 Indonesians protest Iraq war

15. DBLP: Takakazu Kurokawa dblp.unitrier.de takakazu Kurokawa. List 2001. 3, EE, Keniti Gonoi, takakazuKurokawa Neural network approach to the ECM problem. Systems http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/k/Kurokawa:Takakazu.ht

Takakazu Kurokawa List of publications from the DBLP Bibliography Server FAQ Ask others: ACM CiteSeer CSB Google ... Keniti Gonoi , Takakazu Kurokawa: Neural network approach to the ECM problem. Systems and Computers in Japan 32 Hiroshi Ito Takashi Matsubara , Takakazu Kurokawa, Yoshiaki Koga : A Proposal of Fault-Checking Fuzzy Control. ISMVL 1992 Yoshiyasu Takefuji , Takakazu Kurokawa, Masato Ishizaki Hideo Aiso : New Matrix Equation Solvers in GF(2) Employing Cramer with Chio Method. ICPP 1983 DBLP: [ Home Author Title Conferences ... Michael Ley (ley@uni-trier.de) Fri Mar 28 15:24:21 2003

16. Baby Names - Takakazu baby names takakazu% =name takakazu. As takakazu you are rather serious-minded, responsible, and stable. http://www.kabalarians.com/female/takakazu.htm

Kabalarian Philosophy Main Menu Home Page Important: Dear Takakazu: The following analysis describes a few qualities of your first name. There are many additional factors (legal name, nicknames, family surname, combined names, previous names, and business signature) that contribute to your entire personality - and your entire life. Order a Name Report for a full analysis. Takakazu As Takakazu You can receive a comprehensive Name Report including all your names . It is an in-depth description of the influences affecting your personality, potential, and compatibility in personal and business relationships. Take this step to make changes in your life. Do not pass up this opportunity for a happier, healthier, and more successful future. Click here for full Name Report details Please Note: The above analysis is based on the English alphabet. Receive a FREE electronic book by giving us feedback on the accuracy of our first name analysis service, click here! Choosing a Baby Name? WARNING: Do not choose a baby name based on the short analysis given above.

17. Takakazu Seki takakazu Seki. 1642 1708. Start your search on takakazu Seki. Othereducational search engines Ask Jeeves for Kids - Britannica http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/Tak

You are in: Virtual Public Library Hall of Education Mathematics Takakazu Seki Takakazu Seki Start your search on Takakazu Seki Other educational search engines: Ask Jeeves for Kids Britannica.com CyberSleuth Kids Education World ... Yahooligans Unauthorized Site: This site and its contents are not affiliated, connected, associated with or authorized by the individual, family, friends, or trademarked entities utilizing any part or the subject’s entire name. Any official or affiliated sites that are related to this subject will be hyper linked below upon submission and Virtualology's review. 2000 by Virtualology TM . All rights reserved. Virtualology TM Search: About Us e-mail us Editing Sponsor Editing Sponsors review and select all student work for publishing. To learn more about our editing sponsor program click here. Published Students Primary Secondary College Graduate ... Technical

18. Algebraic Number Theory Archives The Art of Computer Programming (TAOCP) by Donald E. Knuth. Japanese translation, under direction of takakazu Simauti, in two volumes http://www.math.uiuc.edu/Algebraic-Number-Theory

Algebraic Number Theory Archives Date: Wed, 8 Jan 2003 12:03:33 -0600 (CST) To: Algebraic-Number-Theory@listserv.uiuc.edu Subject: Algebraic-Number-Theory preprint archives I shall no longer be managing the Algebraic Number Theory preprint archives. The web site is now frozen and is not accepting new submissions and subscriptions. Michael Zieve has kindly agreed to assume control, with the help of Greg Kuperberg, and new submissions should be directed to the new URL for the archive, http://front.math.ucdavis.edu/ANT/ Your subscription will continue, unless you choose otherwise. I thank Dan Grayson for setting up the archives and his patient help with technical issues, and Michael and Greg for volunteering to take on this work. Nigel Boston http://www.math.wisc.edu/~boston/ Welcome to the preprint archives for papers in Algebraic Number Theory and Arithmetic Geometry. Use the Find facility of your browser on this page, or search: Our mirror site in the United Kingdom , set up by Richard Pinch. Our main site in the USA Instructions for authors Instructions for joining the mailing list . Members of the mailing list receive announcements of preprints when they are deposited in the archives. Some TeX fonts , stored in a tar image compressed with gzip, including the lams* and xy* fonts, which are needed for some of the preprints.

19. Mori Takakazu Page The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://www.kyoto-su.ac.jp/~morita/index-j.html

$B?9(B $BN40l(B (Mori Takakazu) morita@cc.kyoto-su.ac.jp $B%W%m%U%#! <%k!'(B $B5~ET;:6HBg3X$N(B $B%[! <%`(B

20. DBLP: Takakazu Satoh takakazu Satoh On padic Point Counting Algorithms for Elliptic Curves over Finite Fields. ANTS 2002 43-66 takakazu Satoh. List of publications from the DBLP Bibliography Server - FAQ http://dblp.uni-trier.de/db/indices/a-tree/s/Satoh@Takakazu.html

Takakazu Satoh List of publications from the DBLP Bibliography Server FAQ Ask others: ACM CiteSeer Google "Home Page Search" Engine ... EE Takakazu Satoh: On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields. ANTS 2002 EE Kiyomichi Araki , Takakazu Satoh, Shinji Miura : Overview of Elliptic Curve Cryptography. Public Key Cryptography 1998 DBLP: [ Home Author Title Conferences ... Michael Ley (ley@uni-trier.de) Wed Feb 26 11:22:05 2003

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 1     1-20 of 104    1  | 2  | 3  | 4  | 5  | 6  | Next 20