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Number theory related to modular curves : Momose memorial volume : Seminar in memory of Fumiyuki Momose Barcelona-Boston-Tokyo Number Theory Barcelona

Author: Joan-Carles Lario; Vijaya Kumar Murty
Publisher: Providence, Rhode Island : American Mathematical Society, [2018]
Series: Contemporary mathematics (American Mathematical Society), no. 701.
Edition/Format:   eBook : Document : Biography : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Named Person: Fumiyuki Momose
Material Type: Biography, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Joan-Carles Lario; Vijaya Kumar Murty
ISBN: 9781470443856 1470443856
OCLC Number: 1022246956
Notes: Seminar held May 21-23, 2012, in Barcelona, Spain.
Description: 1 online resource.
Contents: An overview of the mathematical work of Fumiyuki Momose / Takeshi Saito --
A note on algebraic points on Shimura curves / Keisuke Arai --
On quadratic points of classical modular curves / Francesc Bars --
$p$-adic point counting on singular superelliptic curves / Robert M. Burko --
A refinement of a conjecture of Gross, Kohnen, and Zagier / Carlos Castaño-Bernard --
A vanishing criterion for Dirichlet series with periodic coefficients / Tapas Chatterjee, M. Ram Murty and Siddhi Pathak --
Rational families of $17$-torsion points of elliptic curves over number fields / Maarten Derickx, Barry Mazur and Sheldon Kamienny --
An explicit integral representation of Siegel-Whittaker functions on ${Sp}(2, \mathbb {{R}})$ for the large discrete series representations / Yasuro Gon and Takayuki Oda --
On implementation of GHS attack against elliptic curve cryptosystems over cubic extension fields of odd characteristic / Naoki Hashizume, Fumiyuki Momose and Jinhui Chao --
The Sato-Tate conjecture for a Picard curve with complex multiplication (with an appendix by Francesc Fité) / Joan-Carles Lario and Anna Somoza --
Arithmetic twists and Abelian extensions / V. Kumar Murty --
Transcendental numbers and special values of Dirichlet series / M. Ram Murty --
Series Title: Contemporary mathematics (American Mathematical Society), no. 701.
Responsibility: Joan-Carles Lario, V. Kumar Murty, editors.

Abstract:

Contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose. Momose made important contributions to the theory of Galois representations  Read more...

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