Softcover ISBN:  9781470419912 
Product Code:  CONM/701 
List Price:  $117.00 
MAA Member Price:  $105.30 
AMS Member Price:  $93.60 
Electronic ISBN:  9781470443856 
Product Code:  CONM/701.E 
List Price:  $117.00 
MAA Member Price:  $105.30 
AMS Member Price:  $93.60 

Book DetailsContemporary MathematicsVolume: 701; 2018; 232 ppMSC: Primary 11; 14;
This volume contains the proceedings of the BarcelonaBostonTokyo 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.ReadershipGraduate students and research mathematicians interested in number theory and arithmetic geometry.

Table of Contents

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 CastañoBernard  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 SiegelWhittaker functions on ${\rm Sp}(2,\mathbb {{R}})$ 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

JoanCarles Lario and Anna Somoza  The SatoTate 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


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This volume contains the proceedings of the BarcelonaBostonTokyo 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.
Graduate students and research mathematicians interested in number theory and arithmetic geometry.

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 CastañoBernard  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 SiegelWhittaker functions on ${\rm Sp}(2,\mathbb {{R}})$ 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

JoanCarles Lario and Anna Somoza  The SatoTate 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