Number Theory Related to Modular Curves
Momose Memorial Volume
Will be published approx. on 30. March 2018
Book
Paperback/Softback
228 pages
978-1-4704-1991-2 (ISBN)
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
335 gr
ISBN-13
978-1-4704-1991-2 (9781470419912)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Joan-Carles Lario, Universitat Politecnica de Catalunya, Barcelona, Spain.
V. Kumar Murty, University of Toronto, Ontario, Canada.
V. Kumar Murty, University of Toronto, Ontario, Canada.
Content
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
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