On spine: Institute on Number Theory.

"Prepared by the American Mathematical Society under the National Science Foundation Grant GP-9551."

Includes bibliographies.

Applications of algebraic geometry to number theory / H. P. F. Swinnerton-Dyer -- Abelian varieties over finite fields / W. C. Waterhouse and J. S. Milne -- Introduction aux travaux r�ecents de Dwork / Nicholas M. Katz -- The integral classical groups and their automorphisms / O. T. O'Meara -- Skew-symmetric forms for number fields / Kenkichi Iwasawa -- $K_2$ of global fields / B. J. Birch -- Class formations / Yukiyosi Kawada -- Some conjectures in class field theory / J. A. Shalika -- Extensions of cyclotomic theory / Thomas Storer -- Reducibility of lacunary polynomials / A. Schinzel -- Quadratic forms over fields / A. Pfister -- A metamathematical approach to some problems in number theory / James Ax -- Hilbert's tenth problem / Julia Robinson -- Effective methods in Diophantine problems / A. Baker -- On Schanuel's conjectures and Skolem's method / James Ax -- On approximations of algebraic numbers by algebraic numbers of bounded degree / Eduard A. Wirsing -- Lectures on transcendental numbers / Kurt Mahler -- Mahler's $T$-numbers / Wolfgang M. Schmidt -- Selberg's sieve with weights / H.-E. Richert -- Sieve methods / Atle Selberg -- Density theorems for the zeta function / Enrico Bombieri -- On some recent results in the analytical theory of numbers / Paul Tur�an -- Characterisation of the logarithm as an additive function / Eduard Wirsing -- Some results concerning reciprocity law and real analytic automorphic functions / Tomio Kubota -- Elliptic curves over $Q$: A progress report / B. J. Birch -- Recent advances in determining all complex quadratic fields of a given class-number / H. M. Stark -- Class number, a theory of factorization, and genera / Daniel Shanks --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.