Number theory related to modular curves : Momose memorial volume : seminar in memory of Fumiyuki Momose, BarcelonaBostonTokyo Number Theory, Barcelona
 Responsibility
 JoanCarles Lario, V. Kumar Murty, editors.
 Publication
 [Providence, Rhode Island] : American Mathematical Society, [2018]
 Physical description
 xiv, 218 pages : Illustrations ; 26 cm.
 Series
 Contemporary mathematics (American Mathematical Society) ; v. 701.
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA567.2 .M63 N86 2018  Unknown 
More options
Creators/Contributors
 Contributor
 Momose, Fumiyuki, honouree.
 Lario, JoanCarles, 1963 editor.
 Murty, Vijaya Kumar, 1956 editor.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 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 SiegelWhittaker 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 SatoTate 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 17torsion of elliptic curves over number fields C. CastanoBernard, A refinement of a conjecture of Gross, Kohnen, and Zagier.
 (source: Nielsen Book Data)9781470419912 20180813
 Publisher's Summary
 This volume contains the proceedings of the BarcelonaBostonTokyo 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.
(source: Nielsen Book Data)9781470419912 20180813
Subjects
 Subject
 Momose, Fumiyuki.
 Modular curves.
 Number theory.
 Forms, Modular.
 Number theory  Arithmetic algebraic geometry (Diophantine geometry)  Arithmetic aspects of modular and Shimura varieties.
 Algebraic geometry  Arithmetic problems. Diophantine geometry  Rational points.
 Algebraic geometry  Arithmetic problems. Diophantine geometry  Applications to coding theory and cryptography.
 Number theory  Discontinuous groups and automorphic forms  Automorphic forms on $.
 Number theory  Algebraic number theory: global fields  Class field theory.
 Number theory  Zeta and $L$functions: analytic theory  None of the above, but in this section.
 Algebraic geometry  Arithmetic problems. Diophantine geometry  Modular and Shimura varieties.
 Number theory  Arithmetic algebraic geometry (Diophantine geometry)  $L$functions of varieties over global fields; BirchSwinnertonDyer conjecture.
 Number theory  Arithmetic algebraic geometry (Diophantine geometry)  Curves of arbitrary genus or genus $\ne 1$ over global fields.
 Forms, Modular.
 Modular curves.
 Number theory.
Bibliographic information
 Publication date
 2018
 Series
 Contemporary mathematics ; 701
 Note
 Seminar held May 2123, 2012, in Barcelona, Spain.
 ISBN
 1470419912 paperback alkaline paper
 9781470419912 paperback alkaline paper