AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

1969 Number Theory Institute

About this Title

Donald J. Lewis, Editor

Publication: Proceedings of Symposia in Pure Mathematics
Publication Year: 1971; Volume 20
ISBNs: 978-0-8218-1420-8 (print); 978-0-8218-9306-7 (online)
DOI: https://doi.org/10.1090/pspum/020

View full volume as PDF

Table of Contents

Download chapters as PDF

Front/Back Matter

• View this volume's front and back matter

Articles

• H. P. F. Swinnerton-Dyer – Applications of algebraic geometry to number theory [MR 0337951]
• W. C. Waterhouse and J. S. Milne – Abelian varieties over finite fields [MR 0314847]
• Nicholas M. Katz – Introduction aux travaux récents de Dwork [MR 0360595]
• O. T. O’Meara – The integral classical groups and their automorphisms [MR 0316590]
• Kenkichi Iwasawa – Skew-symmetric forms for number fields [MR 0332724]
• B. J. Birch – $K_2$ of global fields [MR 0332726]
• Yukiyosi Kawada – Class formations [MR 0360535]
• J. A. Shalika – Some conjectures in class field theory [MR 0345935]
• Thomas Storer – Extensions of cyclotomic theory [MR 0316428]
• A. Schinzel – Reducibility of lacunary polynomials [MR 0323749]
• A. Pfister – Quadratic forms over fields [MR 0321874]
• James Ax – A metamathematical approach to some problems in number theory [MR 0316419]
• Julia Robinson – Hilbert’s tenth problem [MR 0316234]
• A. Baker – Effective methods in Diophantine problems [MR 0314774]
• James Ax – On Schanuel’s conjectures and Skolem’s method [MR 0318069]
• Eduard A. Wirsing – On approximations of algebraic numbers by algebraic numbers of bounded degree [MR 0319929]
• Kurt Mahler – Lectures on transcendental numbers [MR 0318071]
• Wolfgang M. Schmidt – Mahler’s $T$-numbers [MR 0344204]
• H.-E. Richert – Selberg’s sieve with weights [MR 0318083]
• Atle Selberg – Sieve methods [MR 0567686]
• Enrico Bombieri – Density theorems for the zeta function [MR 0316398]
• Paul Turán – On some recent results in the analytical theory of numbers [MR 0316400]
• Eduard Wirsing – Characterisation of the logarithm as an additive function [MR 0412129]
• Tomio Kubota – Some results concerning reciprocity law and real analytic automorphic functions [MR 0340221]
• B. J. Birch – Elliptic curves over $Q$: A progress report [MR 0314845]
• H. M. Stark – Recent advances in determining all complex quadratic fields of a given class-number [MR 0316421]
• Daniel Shanks – Class number, a theory of factorization, and genera [MR 0316385]