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Number Theory
 
Edited by: V. Kumar Murty :  University of Toronto, Toronto, ON, Canada
Michel Waldschmidt :  University Pierre et Marie Curie, Paris, France
Number Theory
eBook ISBN:  978-0-8218-7801-9
Product Code:  CONM/210.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Number Theory
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Number Theory
Edited by: V. Kumar Murty :  University of Toronto, Toronto, ON, Canada
Michel Waldschmidt :  University Pierre et Marie Curie, Paris, France
eBook ISBN:  978-0-8218-7801-9
Product Code:  CONM/210.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 210; 1998; 399 pp
    MSC: Primary 11; Secondary 14

    To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.
    Readership

    Graduate students and research mathematicians interested in number theory and related subjects.
  • Table of Contents
     
     
    • Part I. Arithmetic Algebraic Geometry [ MR 1478481 ]
    • Daniel Bertrand — Relative splitting of one-motives [ MR 1478482 ]
    • J.-L. Colliot-Thélène — The Hasse principle in a pencil of algebraic varieties [ MR 1478483 ]
    • H. Darmon — Stark-Heegner points over real quadratic fields [ MR 1478484 ]
    • Fred Diamond — On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces [ MR 1478485 ]
    • M. Ram Murty — The $abc$ conjecture and exponents of class groups of quadratic fields [ MR 1478486 ]
    • Wolfgang Schmidt — Heights of points on subvarieties of ${\bf G}^n_m$ [ MR 1478487 ]
    • Jing Yu and Jiu-Kang Yu — A note on a geometric analogue of Ankeny-Artin-Chowla’s conjecture [ MR 1478488 ]
    • Part II. Automorphic Forms [ MR 1478481 ]
    • S. Jayasree and R. Tandon — Determinant of representations of division algebras of prime degree over local fields [ MR 1478489 ]
    • Chandrashekhar Khare — ${\rm Mod}\, p$ modular forms [ MR 1478490 ]
    • A. K. Lal and B. Ramakrishnan — On exceptions of integral quadratic forms [ MR 1478491 ]
    • Dipendra Prasad — A brief survey on the theta correspondence [ MR 1478492 ]
    • J. Tilouine — Deformations of Siegel-Hilbert Hecke eigensystems and their Galois representations [ MR 1478493 ]
    • Part III. Elementary and Analytic Number Theory [ MR 1478481 ]
    • Krishnaswami Alladi and George E. Andrews — A new key identity for Göllnitz’ (big) partition theorem [ MR 1478494 ]
    • R. Balasubramanian and K. Ramachandra — Some local-convexity theorems for the zeta-function-like analytic functions. III [ MR 1478495 ]
    • R. Balasubramanian and T. N. Shorey — Perfect powers in products of terms in an arithmetical progression. IV [ MR 1478496 ]
    • Jean-Marc Deshouillers — On some connections between probability and number theory [ MR 1478497 ]
    • Madhu Raka and Urmila Rani — Inhomogeneous minima of a class of quaternary quadratic forms of type $(2,2)$ [ MR 1478498 ]
    • S. Srinivasan — On an arithmetical inequality. II [ MR 1478499 ]
    • Part IV. Transcednetal Number Theory [ MR 1478481 ]
    • Francesco Amoroso — Algebraic numbers close to $1$: results and methods [ MR 1478500 ]
    • W. Dale Brownawell — Transcendence in positive characteristic [ MR 1478501 ]
    • Sinnou David and Patrice Philippon — Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes [ MR 1478502 ]
    • Gilles Lachaud — Klein polygons and geometric diagrams [ MR 1478503 ]
    • Gilles Lachaud — Sails and Klein polyhedra [ MR 1478504 ]
    • Dinesh S. Thakur — Automata and transcendence [ MR 1478505 ]
  • 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
Contemporary Mathematics
Volume: 210; 1998; 399 pp
MSC: Primary 11; Secondary 14

To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.
Readership

Graduate students and research mathematicians interested in number theory and related subjects.
  • Part I. Arithmetic Algebraic Geometry [ MR 1478481 ]
  • Daniel Bertrand — Relative splitting of one-motives [ MR 1478482 ]
  • J.-L. Colliot-Thélène — The Hasse principle in a pencil of algebraic varieties [ MR 1478483 ]
  • H. Darmon — Stark-Heegner points over real quadratic fields [ MR 1478484 ]
  • Fred Diamond — On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces [ MR 1478485 ]
  • M. Ram Murty — The $abc$ conjecture and exponents of class groups of quadratic fields [ MR 1478486 ]
  • Wolfgang Schmidt — Heights of points on subvarieties of ${\bf G}^n_m$ [ MR 1478487 ]
  • Jing Yu and Jiu-Kang Yu — A note on a geometric analogue of Ankeny-Artin-Chowla’s conjecture [ MR 1478488 ]
  • Part II. Automorphic Forms [ MR 1478481 ]
  • S. Jayasree and R. Tandon — Determinant of representations of division algebras of prime degree over local fields [ MR 1478489 ]
  • Chandrashekhar Khare — ${\rm Mod}\, p$ modular forms [ MR 1478490 ]
  • A. K. Lal and B. Ramakrishnan — On exceptions of integral quadratic forms [ MR 1478491 ]
  • Dipendra Prasad — A brief survey on the theta correspondence [ MR 1478492 ]
  • J. Tilouine — Deformations of Siegel-Hilbert Hecke eigensystems and their Galois representations [ MR 1478493 ]
  • Part III. Elementary and Analytic Number Theory [ MR 1478481 ]
  • Krishnaswami Alladi and George E. Andrews — A new key identity for Göllnitz’ (big) partition theorem [ MR 1478494 ]
  • R. Balasubramanian and K. Ramachandra — Some local-convexity theorems for the zeta-function-like analytic functions. III [ MR 1478495 ]
  • R. Balasubramanian and T. N. Shorey — Perfect powers in products of terms in an arithmetical progression. IV [ MR 1478496 ]
  • Jean-Marc Deshouillers — On some connections between probability and number theory [ MR 1478497 ]
  • Madhu Raka and Urmila Rani — Inhomogeneous minima of a class of quaternary quadratic forms of type $(2,2)$ [ MR 1478498 ]
  • S. Srinivasan — On an arithmetical inequality. II [ MR 1478499 ]
  • Part IV. Transcednetal Number Theory [ MR 1478481 ]
  • Francesco Amoroso — Algebraic numbers close to $1$: results and methods [ MR 1478500 ]
  • W. Dale Brownawell — Transcendence in positive characteristic [ MR 1478501 ]
  • Sinnou David and Patrice Philippon — Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes [ MR 1478502 ]
  • Gilles Lachaud — Klein polygons and geometric diagrams [ MR 1478503 ]
  • Gilles Lachaud — Sails and Klein polyhedra [ MR 1478504 ]
  • Dinesh S. Thakur — Automata and transcendence [ MR 1478505 ]
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
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