Number Theory Related to Modular Curves

Momose Memorial Volume

Häftad, Engelska, 2018

1 889 kr

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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 contributions as well as recent work and new results.

Produktinformation

Utgivningsdatum2018-03-30
Mått178 x 254 x undefined mm
Vikt335 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor228
FörlagAmerican Mathematical Society
ISBN9781470419912

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T. Saito, An overview of the mathematical work of Fumiyuki MomoseR. Burko, $p$-adic point counting on singular superelliptic curvesK. Arai, A note on algebraic points on Shimura curvesT. Chatterjee, M. R. Murty, and S. Pathak, A vanishing criterion for Dirichlet series with periodic coefficientsN. Hashizume, F. Momose, and J. Chao, On implementation of GHS attack against elliptic curve cryptosystems over cubic extension fields of odd characteristicV. K. Murty, Arithmetic twists and Abelian extensionsY. Gon and T. Oda, An explicit integral representation of Siegel-Whittaker functions on $\textrm{Sp}(2,\mathbb{R})$ for the large discrete series representationsM. R. Murty, Transcendental numbers and special values of Dirichlet seriesJ. C. Lario and A. Somoza, The Sato-Tate conjecture for a Picard curve with complex multiplication (with an Appendix by F. Fite)F. Bars, On quadratic points of classical modular curvesM. Derickx, B. Mazur, and S. Kamienny, Rational families of 17-torsion of elliptic curves over number fieldsC. Castano-Bernard, A refinement of a conjecture of Gross, Kohnen, and Zagier