Number Theory
Edited by: V. Kumar Murty, University of Toronto,
Toronto, ON, Canada, and Michel Waldschmidt,
Université Pierre et Marie Curie, Paris, France
CONM-210
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.
Contents Arithmetic
Algebraic Geometry
- Daniel Bertrand -- Relative splitting of one-motives
- J.-L. Colliot-Thélène -- The Hasse principle in
a pencil of algebraic varieties
- H. Darmon -- Stark-Heegner points over real quadratic
fields
- Fred Diamond -- On the Hecke action on the cohomology of
Hilbert-Blumenthal surfaces
- M. Ram Murty -- The ABC conjecture and exponents of class
groups of quadratic fields
- Wolfgang Schmidt -- Heights of points on subvarieties of
${\Bbb G}_m^n$
- Jing Yu and Jiu-Kang Yu -- A note on a geometric analogue of
Ankeny-Artin-Chowla's conjecture
Automorphic Forms
- S. Jayasree and R. Tandon -- Determinant of representations of
division algebras of prime degree over local fields
- Chandrashekhar Khare -- Mod p modular forms
- A. K. Lal and B. Ramakrishnan -- On exceptions of integral
quadratic forms
- Dipendra Prasad -- A brief survey on the theta
correspondence
- J. Tilouine -- Deformations of Siegel-Hilbert Hecke
eigensystems and their Galois representations
Elementary and Analytic Number Theory
- Krishnaswami Alladi and George E. Andrews -- A new key
identity for Göllnitz' (Big) partition theorem
- R. Balasubramanian and K. Ramachandra -- Some local-convexity
theorems for the zeta-function-like analytic functions---III
- R. Balasubramanian and T. N. Shorey -- Perfect powers in
products of terms in an arithmetic progression IV
- Jean-Marc Deshouillers -- On some connections between
probability and number theory
- Madhu Raka and Urmila Rani -- Inhomogeneous minima of a class
of quaternary quadratic forms of type (2,2)
- S. Srinivasan -- On an arithmetical inequality, II
Transcendental Number Theory
- Francesco Amoroso -- Algebraic numbers close to 1: results and
methods
- W. Dale Brownawell -- Transcendence in positive
characteristic
- Sinnou David and Patrice Philippon -- Minorations des hauteurs
normalisées des sous-variétés de
variétés abéliennes
- Gilles Lachaud -- Klein polygons and geometric diagrams
- Gilles Lachaud -- Sails and Klein polyhedra
- Dinesh S. Thakur -- Automata and transcendence
Details:
- Publisher: American Mathematical Society
- Distributor: American Mathematical Society
- Series: Contemporary Mathematics, ISSN: 0271-4132
- Volume: 210
- Publication Year: 1997
- ISBN: 0-8218-0606-8
- Paging: 399 pp.
- Binding: Softcover
- List Price: $69
- Institutional Member Price: $55
- Individual Member Price: $41
- Itemcode: CONM/210
ams
publications
© Copyright 1997, American Mathematical Society.
- Michel Waldschmidt
- URL : http://www.math.jussieu.fr/~miw/articles/CM.html
- e-mail : miw@math.jussieu.fr
- Last update: Octobre 16, 1997