**Contemporary Mathematics**

Volume: 210;
1998;
399 pp;
Softcover

MSC: Primary 11;
Secondary 14

Print ISBN: 978-0-8218-0606-7

Product Code: CONM/210

List Price: $89.00

Individual Member Price: $71.20

**Electronic ISBN: 978-0-8218-7801-9
Product Code: CONM/210.E**

List Price: $89.00

Individual Member Price: $71.20

# Number Theory

Share this page *Edited by *
*V. Kumar Murty; Michel Waldschmidt*

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.

#### Table of Contents

# Table of Contents

## Number Theory

- Contents v6 free
- Part I. Arithmetic Algebraic Geometry 110 free
- Relative splitting of one-motives 312
- The Hasse principle in a pencil of algebraic varieties 1928
- Stark-Heegner points over real quadratic fields 4150
- On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces 7180
- The ABC conjecture and exponents of class groups of quadratic fields 8594
- Heights of points on subvarieties of Gnm 97106
- A note on a geometric analogue of Ankeny-Artin-Chowla's conjecture 101110

- Part II. Automorphic Forms 107116
- Determinant of representations of division algebras of prime degree over local fields 109118
- Mod p modular forms 135144
- On exceptions of integral quadratic forms 151160
- A brief survey on the theta correspondence 171180
- Deformations of Siegel-Hilbert Hecke eigensystems and their Galois representations 195204

- Part III. Elementary and Analytic Number Theory 227236
- A new key identity for Göllnitz' (Big) partition theorem 229238
- Some local-convexity theorems for the zeta-function-like analytic functions - III 243252
- Perfect powers in products of terms in an arithmetical progression IV 257266
- On some connections between probability and number theory 265274
- Inhomogeneous minima of a class of quaternary quadratic forms of type (2,2) 275284
- On an arithmetical inequality, II 299308

- Part IV. Transcendental Number Theory 303312
- Algebraic numbers close to 1: results and methods 305314
- Transcendence in positive characteristic 317326
- Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes 333342
- Klein polygons and geometric diagrams 365374
- Sails and Klein polyhedra 373382
- Automata and transcendence 387396

#### Readership

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