Number Theory Related to Modular Curves

Joan-Carles Lario, Universitat Politecnica de Catalunya, Barcelona, Spain.V. Kumar Murty, University of Toronto, Ontario, Canada.

• 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