1969 Number Theory Institute
[Donald J. Lewis, editor].
Providence, R.I. : American Mathematical Society, 1971.
xiii, 451 págs. : retrs. ; 26 cm.
Serie: Proceedings of symposia in pure mathematics ; v. 20
ISBN: 0821814206
Título del lomo: Institute on Number Theory
"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.
Reseña: MathSciNet, 47 #3286
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.