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Number Theory Institute (1969 : State University of New York at Stony Brook)
1969 Number Theory Institute / [Donald J. Lewis, editor].
— Providence, R.I. : American Mathematical Society, 1971. xiii, 451 p. : retrs. ; 26 cm. — (Proceedings of symposia in pure mathematics ; v. 20)
"Proceedings of the 1969 Summer Institute on Number Theory: Analytic Number Theory, Diophantine Problems, and Algebraic Number Theory; held at the State University of New York at Stony Brook, Stony Brook, Long Island, New York, July 7-Aug. 1, 1969".
Incluye fotografías de los participantes.
Incluye referencias bibliográficas e índices.
Contenido: H. P. F. Swinnnerton-Dyer, Applications of algebraic geometry to number theory — W. C. Waterhouse and J. S. Milne. Abelian varieties over finite fields — Nicholas M. Katz, Introduction aux travaux récents de Dwork — O. T. O'Meara, The integral classical groups and their automorphisms — Kenkichi Iwasawa, Skew-symmetric forms for number fields (p. 86); B. J. Birch, $K_2$ of global fields — Yukiyosi Kawada, Class formations — J. A. Shalika, Some conjectures in class field theory — Thomas Storer, Extensions of cyclotomic theory — A. Schinzel, Reducibility of lacunary polynomials — A. Pfister, Quadratic forms over fields — James Ax, A metamathematical approach to some problems in number theory — Julia Robinson, Notes on Matijasevi\v c's solution of Hilbert's tenth problem — Alan Baker, Effective methods in Diophantine problems — James Ax, On Schanuel's conjectures and Skolem's method — Eduard Wirsing, On approximations of algebraic numbers by algebraic numbers of bounded degree — Kurt Mahler, Lectures on transcendental numbers — Wolfgang M. Schmidt, Mahler's $T$-numbers — H.-E. Richert, Selberg's sieve with weights — Atle Selberg, Sieve methods — Enrico Bombieri, Density theorems for the zeta function — Paul Turán, On some recent results in the analytical theory of numbers — Eduard Wirsing, Characterization of the logarithm as an additive function — Tomio Kubota, Some results concerning reciprocity law and real analytic automorphic functions — B. J. Birch, Elliptic curves over $Q$: A progress report — H. M. Stark, Recent advances in determining all complex quadratic fields of a given class-number — Daniel Shanks, Class number, a theory of factorization, and genera.
ISBN 0821814206
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