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Number Theory Related to Modular Curves: Momose Memorial Volume
About this Title
Joan-Carles Lario, Universitat Politècnica de Catalunya, Barcelona, Spain and V. Kumar Murty, University of Toronto, Toronto, Ontario, Canada, Editors
Publication: Contemporary Mathematics
Publication Year:
2018; Volume 701
ISBNs: 978-1-4704-1991-2 (print); 978-1-4704-4385-6 (online)
DOI: https://doi.org/10.1090/conm/701
ReadershipTable of Contents
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Front/Back Matter
Articles
- Takeshi Saito – An overview of the mathematical work of Fumiyuki Momose
- Keisuke Arai – A note on algebraic points on Shimura curves
- Francesc Bars – On quadratic points of classical modular curves
- Robert M. Burko – $p$-adic point counting on singular superelliptic curves
- Carlos Castaño-Bernard – A refinement of a conjecture of Gross, Kohnen, and Zagier
- Tapas Chatterjee, M. Ram Murty and Siddhi Pathak – A vanishing criterion for Dirichlet series with periodic coefficients
- Maarten Derickx, Barry Mazur and Sheldon Kamienny – Rational families of $17$-torsion points of elliptic curves over number fields
- Yasuro Gon and Takayuki Oda – An explicit integral representation of Siegel-Whittaker functions on $\textrm {Sp}(2,\mathbb {{R}})$ for the large discrete series representations
- Naoki Hashizume, Fumiyuki Momose and Jinhui Chao – On implementation of GHS attack against elliptic curve cryptosystems over cubic extension fields of odd characteristic
- Joan-Carles Lario and Anna Somoza – The Sato-Tate conjecture for a Picard curve with complex multiplication (with an appendix by Francesc Fité)
- V. Kumar Murty – Arithmetic twists and Abelian extensions
- M. Ram Murty – Transcendental numbers and special values of Dirichlet series