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Number Theory Related to Modular Curves : Momose Memorial Volume.
This volume contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made important contributions to the theory of Galois repr...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2018.
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| Colección: | Contemporary Mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1024282303 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 180224s2018 riu o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCQ |d REDDC |d OCLCO |d OCLCF |d K6U |d OCLCO |d OCLCQ |d SFB |d OCLCO | ||
| 020 | |a 9781470443856 | ||
| 020 | |a 1470443856 | ||
| 035 | |a (OCoLC)1024282303 | ||
| 050 | 4 | |a QA567.2.M63 |b .N863 2018 | |
| 082 | 0 | 4 | |a 512.74 |2 23 |
| 084 | |a 11G18 |a 14G05 |a 14G50 |a 11F41 |a 11R37 |a 11M99 |a 14G35 |a 11G40 |a 11G30 |2 msc | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Lario, Joan-Carles. | |
| 245 | 1 | 0 | |a Number Theory Related to Modular Curves : |b Momose Memorial Volume. |
| 260 | |a Providence : |b American Mathematical Society, |c 2018. | ||
| 300 | |a 1 online resource (234 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Contemporary Mathematics ; |v v. 701 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title page; Contents; Preface; The Barcelona Conference; My friend, Fumiyuki Momose; An overview of the mathematical work of Fumiyuki Momose; 1. Introduction; 2. â#x84;#x93;-adic representations; 3. Rational Points; 4. Cryptography; 5. Concluding Remarks; 6. Publications of Momose; References; A note on algebraic points on Shimura curves; 1. Points on Shimura curves; 2. Automorphism groups and elliptic points; 3. Examples; 4. Estimate of \cNnâ#x82;#x81;(); References; On quadratic points of classical modular curves; 1. Introduction. | |
| 505 | 8 | |a 2. The set of quadratic points is a not finite set: Hyperelliptic and Bielliptic curves3. Automorphism group of classical modular curves; 4. Which curves â#x82;#x80;() have an infinite set of quadratic points?; 5. Other classical modular curves; Acknowledgements; References; -adic point counting on singular superelliptic curves; 1. Introduction; 2. Review of -adic theory; 3. The cohomology of a superelliptic curve; 4. The Matrix of Frobenius; 5. The Algorithm; References; A refinement of a conjecture of Gross, Kohnen, and Zagier; 1. Introduction; 2. Heegner objects. | |
| 505 | 8 | |a 3. On the real locus of â#x82;#x80;â#x81;ð()4. Motivation and evidence; Acknowledgements; References; A vanishing criterion for Dirichlet series with periodic coefficients; 1. Introduction; 2. Preliminaries; 3. Odd functions; 4. Even functions; 5. Conclusion; Acknowledgments; References; Rational families of 17-torsion points of elliptic curves over number fields; 1. Introduction; 2. Rational -torsion over fields of degree; 3. Brillâ#x80;#x93;Noether Varieties; 4. Fine Siegel units and fine Siegel points; 5. Digression: 13-torsion; 6. Families of 17-torsion; 7. Appendix: Gonality; References. | |
| 505 | 8 | |a An explicit integral representation of Siegel-Whittaker functions on (2,â#x84;#x9D;) for the large discrete series representations1. Introduction; 2. Preliminaries; 3. Miyazakiâ#x80;#x99;s results; 4. Partially Confluent hypergeometric functions in two variables; 5. Main results; 6. Proof of main results; 7. Remarks on { _{ }}; References; On implementation of GHS attack against elliptic curve cryptosystems over cubic extension fields of odd characteristic; 1. Introduction; 2. Weak Covering over â#x82;#x83;, char â#x89; 2; 3. How to construct / from â#x82;#x80;/ _{ } | |
| 505 | 8 | |a 4. Transfer DLP from â#x82;#x80;/ â#x82;#x83; to /5. Computer experiments; 6. Conclusion; References; Appendix: On Condition (2.14) of hyperellipticity; The Sato-Tate conjecture for a Picard curve with complex multiplication (with an appendix by Francesc Fité); 1. Introduction; 2. The Sato-Tate group (); 3. Sato-Tate distribution; 4. The moment sequences; References; Appendix (by Francesc Fité); References; Arithmetic twists and Abelian extensions; 1. Introduction; 2. Abelian varieties of type \T; 3. The arithmetic twisting group; 4. A general construction; 5. The ideal _{ }(/). | |
| 500 | |a 6. Applications to Abelian varieties. | ||
| 520 | |a This volume contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made important contributions to the theory of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian varieties, and applications of arithmetic geometry to cryptography. Papers contained in this volume cover these general themes in addition to discussing Momose's contribution. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 600 | 1 | 0 | |a Momose, Fumiyuki. |
| 650 | 0 | |a Modular curves. | |
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Forms, Modular. | |
| 650 | 6 | |a Courbes modulaires. | |
| 650 | 6 | |a Théorie des nombres. | |
| 650 | 6 | |a Formes modulaires. | |
| 650 | 7 | |a Forms, Modular |2 fast | |
| 650 | 7 | |a Modular curves |2 fast | |
| 650 | 7 | |a Number theory |2 fast | |
| 700 | 1 | |a Murty, V. Kumar. | |
| 776 | 0 | 8 | |i Print version: |a Lario, Joan-Carles. |t Number Theory Related to Modular Curves : Momose Memorial Volume. |d Providence : American Mathematical Society, ©2018 |z 9781470419912 |
| 830 | 0 | |a Contemporary Mathematics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5291699 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5291699 | ||
| 994 | |a 92 |b IZTAP | ||