Trudy Mat. Inst. Steklov., 1973, Volume 132

JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1973, Volume 132

Contents

Proceedings of the international conference on number theory

	Report at the opening ceremony of the Conference M. V. Keldysh		5
	Exponential sums in the development of number theory K. Chandrasekharan		7
	Recent works of I. M. Vinogradov Yu. V. Linnik		27
	Some exponential sums L. J. Mordell		30
	Artin's conjectures and the law of reciprocity A. I. Vinogradov		35
	The arithmetics of surfaces of type КЗ I. I. Pyatetskii-Shapiro, I. R. Shafarevich		44
	The Hubert modular group and some algebraic surfaces F. Hirzebruch		55
	Recent advances in transcendence theory A. Baker		67
	The principal of nonstandard functional equations theory for Dirichlet's functions, consequences and applications of it A. F. Lavrik		70
	Largest prime factor of the product of $k$-consecutive integers K. Ramachandra		77
	On the uniform boundedness of the torsion of elliptic curves over algebraic number fields V. A. Dem'yanenko		82
	On the partition function of positive definite matrices T. Mitsui		88
	Über das Normenrestsymbol einer lokalen unverzweigten Erweiterung von 2-Potenzgrad H. Koch		93
	On the distribution of arithmetic functions J. Kubilius		99
	On sums of squares J. W. S. Cassels		114
	On $(\infty\times p)$-adic coverings of curves (the simplest example) Ya. Ihara		118
	Siegel's forms and zeta-functions A. N. Andrianov		132
	Applications of trigonometric sums method to metric theory of Diophantine approximation of dependent variables V. G. Sprindzhuk		137
	Reducibility of quadrinomials A. Schinzel		143
	Lattice points in moredimensional ellipsoid B. Novak		145
	The geometry of linear algebraic groups V. E. Voskresenskii		151
	The arithmetic theory of linear algebraic groups and number theory V. P. Platonov		162
	On arithmetic properties of values of analytic functions A. B. Shidlovskii		169
	Dirichlet characters and polynomials D. A. Burgess		203
	On the extended Hecke theta-formula T. Tatuzawa		206
	Modular correspondences, heights and isogenes of abelian varieties A. N. Parshin		211
	Constructive method in the theory of equations over finite fields S. A. Stepanov		237
	On sums of real characters M. Jutila		247
	On large sieve inequalities and their applications E. Bombieri		251
	On some problems of prime numbers theory, connected with I. M. Vinogradov's method A. A. Karatsuba		257