Number theory related to modular curves : Momose memorial volume : Seminar in memory of Fumiyuki Momose, Barcelona-Boston-Tokyo Number Theory, Barcelona
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Bibliographic Information
Number theory related to modular curves : Momose memorial volume : Seminar in memory of Fumiyuki Momose, Barcelona-Boston-Tokyo Number Theory, Barcelona
（Contemporary mathematics, 701）
American Mathematical Society, c2018
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Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
T. Saito, An overview of the mathematical work of Fumiyuki Momose
R. Burko, $p$-adic point counting on singular superelliptic curves
K. Arai, A note on algebraic points on Shimura curves
T. Chatterjee, M. R. Murty, and S. Pathak, A vanishing criterion for Dirichlet series with periodic coefficients
N. Hashizume, F. Momose, and J. Chao, On implementation of GHS attack against elliptic curve cryptosystems over cubic extension fields of odd characteristic
V. K. Murty, Arithmetic twists and Abelian extensions
Y. Gon and T. Oda, An explicit integral representation of Siegel-Whittaker functions on $\textrm{Sp}(2,\mathbb{R})$ for the large discrete series representations
M. R. Murty, Transcendental numbers and special values of Dirichlet series
J. 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 curves
M. Derickx, B. Mazur, and S. Kamienny, Rational families of 17-torsion of elliptic curves over number fields
C. Castano-Bernard, A refinement of a conjecture of Gross, Kohnen, and Zagier
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