Труды Международной конференции по теории чисел, Москва 1971

Вместо обложки......Page 1
ТРУДЫ МЕЖДУНАРОДНОЙ КОНФЕРЕНЦИИ ПО ТЕОРИИ ЧИСЕЛ Москва, 14—18 сентября 1971 г......Page 2
Титульный лист......Page 3
Аннотация и выходные данные......Page 4
M. V. Keldysch. Report at the opening ceremony of the Conference......Page 5
K. Chandrasekharan. Exponential sums in the development of number theory......Page 7
Yu. V. Linnik. Recent works of I. M. Vinogradov......Page 27
L. J. Mordell. Some exponential sums......Page 30
A. I. Vinogradov. Artin's conjectures and the law of reciprocity......Page 35
I. I. Pуatecki-Shapiro, I. R. Shafarevich. The arithmetics of surfaces of type K3......Page 44
F. Hirzebruch. The Hilbert modular group and some algebraic surfaces......Page 55
A. Baker. Recent advances in transcendence theory......Page 67
A. F. Lavrik. The principal of nonstandard functional equations theory for Dirichlet's functions, consequences and applications of it......Page 70
K. Ramachandra. Largest prime factor of the product of $k$-consecutive integers......Page 77
V. A. Demianenko. On the uniform boundedness of the torsion of elliptic curves over algebraic number fields......Page 82
T. Mitsui. On the partition function of positive definite matrices......Page 88
H. Koch. Uber das Normenrestsymbol einer lokalen unverzweigten Erweiterung von 2-Potenzgrad......Page 93
J. P. Kubulius. On the distribution of arithmetic functions......Page 99
J. W. S. Cassels. On sums of squares......Page 114
Y. Ihara. On $(\infty\times p)$-adic coverings of curves (the simplest example)......Page 118
A. N. Andrianov. Siegel's forms and zeta-functions......Page 132
V. G. Sprindzhuk. Applications of trigonometric sums method to metric theory of Diophantine approximation of dependent variables......Page 137
A. Schinzel. Reducibility of quadrinomials......Page 143
B. Novak. Lattice points in moredimensional ellipsoids......Page 145
V. E. Voskresenski. The geometry of linear algebraic groups......Page 151
V. P. Platonov. The arithmetic theory of linear algebraic groups and number theory......Page 162
A. B. Shidlovsky. On arithmetic properties of values of analytic functions......Page 169
D. A. Burgess. Dirichlet characters and polynomials......Page 203
T. Tatuzawa. On the extended Hecke theta-formula......Page 206
A. N. Parshin. Modular correspondences, heights and isogenes of abelian varieties......Page 211
S. A. Stepanov. Constructive method in the theory of equations over finite fields......Page 237
M. Jutila. On sums of real characters......Page 247
E. Bombieri. On large sieve inequalities and their applications......Page 251
A. A. Karatsuba. On some problems of prime numbers theory, connected with I. M. Vinogradov's method......Page 257
СОДЕРЖАНИЕ......Page 262
CONTENTS......Page 263
Рефераты......Page 264
Выходные данные......Page 267