505 |
0# |
$a 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. |