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Number Theory Related to Modular Curves: Momose Memorial Volume
 
Edited by: Joan-Carles Lario Universitat Politècnica de Catalunya, Barcelona, Spain
V. Kumar Murty University of Toronto, Toronto, Ontario, Canada
Number Theory Related to Modular Curves
Softcover ISBN:  978-1-4704-1991-2
Product Code:  CONM/701
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-4385-6
Product Code:  CONM/701.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1991-2
eBook: ISBN:  978-1-4704-4385-6
Product Code:  CONM/701.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Number Theory Related to Modular Curves
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Number Theory Related to Modular Curves: Momose Memorial Volume
Edited by: Joan-Carles Lario Universitat Politècnica de Catalunya, Barcelona, Spain
V. Kumar Murty University of Toronto, Toronto, Ontario, Canada
Softcover ISBN:  978-1-4704-1991-2
Product Code:  CONM/701
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-4385-6
Product Code:  CONM/701.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1991-2
eBook ISBN:  978-1-4704-4385-6
Product Code:  CONM/701.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 7012018; 232 pp
    MSC: Primary 11; 14

    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 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.

    Readership

    Graduate 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 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 ${\rm Sp}(2,\mathbb {{R}})$ 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
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 7012018; 232 pp
MSC: Primary 11; 14

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 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.

Readership

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 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 ${\rm Sp}(2,\mathbb {{R}})$ 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
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.