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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
Available Formats:
Softcover ISBN: 978-1-4704-1991-2
Product Code: CONM/701
List Price: $117.00 MAA Member Price:$105.30
AMS Member Price: $93.60 Electronic ISBN: 978-1-4704-4385-6 Product Code: CONM/701.E List Price:$117.00
MAA Member Price: $105.30 AMS Member Price:$93.60
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List Price: $175.50 MAA Member Price:$157.95
AMS Member Price: $140.40 Click above image for expanded view 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 Available Formats:  Softcover ISBN: 978-1-4704-1991-2 Product Code: CONM/701  List Price:$117.00 MAA Member Price: $105.30 AMS Member Price:$93.60
 Electronic ISBN: 978-1-4704-4385-6 Product Code: CONM/701.E
 List Price: $117.00 MAA Member Price:$105.30 AMS Member Price: $93.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$175.50 MAA Member Price: $157.95 AMS Member Price:$140.40
• 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.

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

• Requests

Review Copy – for reviewers who would like to review an AMS book
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.

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 reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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