After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points of classical modular curves, p-adic point counting on singular super-elliptic curves, a vanishing criterion for Dirichlet series with periodic coefficients, the Sato-Tate conjecture for a Picard curve with a complex multiplication, arithmetic twists with abelian extensions, and transcendental numbers with special values of Dirichlet series. Most of the papers are from a May 2012 conference in Barcelona. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
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
Joan-Carles Lario, Universitat Politecnica de Catalunya, Barcelona, Spain.
V. Kumar Murty, University of Toronto, Ontario, Canada.
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