Contemporary Mathematics 1998; 399 pp; softcover Volume: 210 ISBN10: 0821806068 ISBN13: 9780821806067 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. Readership Graduate students and research mathematicians interested in number theory and related subjects. Table of Contents Arithmetic Algebraic Geometry  D. Bertrand  Relative splitting of onemotives
 J.L. ColliotThélène  The Hasse principle in a pencil of algebraic varieties
 H. Darmon  StarkHeegner points over real quadratic fields
 F. Diamond  On the Hecke action on the cohomology of HilbertBlumenthal 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 AnkenyArtinChowla'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 SiegelHilbert 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 localconvexity theorems for the zetafunctionlike analytic functionsIII
 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 sousvariétés de variétés abéliennes
 G. Lachaud  Klein polygons and geometric diagrams
 G. Lachaud  Sails and Klein polyhedra
 D. S. Thakur  Automata and transcendence
