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Number Theory

About this Title

V. Kumar Murty and Michel Waldschmidt, Editors

Publication: Contemporary Mathematics
Publication Year: 1998; Volume 210
ISBNs: 978-0-8218-0606-7 (print); 978-0-8218-7801-9 (online)
DOI: https://doi.org/10.1090/conm/210
MathSciNet review: 1478481

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Table of Contents

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Front/Back Matter

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Part I. Arithmetic Algebraic Geometry

• 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 $\textbf {G}^n_m$ [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

• S. Jayasree and R. Tandon – Determinant of representations of division algebras of prime degree over local fields [MR 1478489]
• Chandrashekhar Khare – $\textrm {Mod}\, p$ 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

• 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

• 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]