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Number Theory
Edited by: V. Kumar Murty, University of Toronto, Toronto, ON, Canada, and Michel Waldschmidt, Université Pierre et Marie Curie, Paris, France
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Contemporary Mathematics
1998; 399 pp; softcover
Volume: 210
ISBN-10: 0-8218-0606-8
ISBN-13: 978-0-8218-0606-7
List Price: US$89 Member Price: US$71.20
Order Code: 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.

Graduate students and research mathematicians interested in number theory and related subjects.

Arithmetic Algebraic Geometry
• D. 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
• F. Diamond -- On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces
• M. R. Murty -- The ABC conjecture and exponents of class groups of quadratic fields
• W. Schmidt -- Heights of points on subvarieties of $${\mathbb G}_m^n$$
• J. Yu and J.-K. 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
• C. Khare -- Mod $$p$$ modular forms
• A. K. Lal and B. Ramakrishnan -- On exceptions of integral quadratic forms
• D. 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
• K. Alladi and G. 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 arithmetical progression IV
• J.-M. Deshouillers -- On some connections between probability and number theory
• M. Raka and U. Rani -- Inhomogeneous minima of a class of quaternary quadratic forms of type (2,2)
• S. Srinivasan -- On an arithmetical inequality, II
Transcendental Number Theory
• F. Amoroso -- Algebraic numbers close to 1: results and methods
• W. D. Brownawell -- Transcendence in positive characteristic
• S. David and P. Philippon -- Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes
• G. Lachaud -- Klein polygons and geometric diagrams
• G. Lachaud -- Sails and Klein polyhedra
• D. S. Thakur -- Automata and transcendence