FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 595-640

Arithmetical applications for estimates of Weyl's sums of increasing degree polynomials

O. V. Popov

Abstract

View as HTML     View as gif image    View as LaTeX source

This paper gives applications of estimates of Weyl's sums to computations of constants in the modern bound of the Riemann's zeta-function zeros as well as to deduction of asymptotical formulae in ternary additive problems with primes, where one of the variables grows faster than the polynomial.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/98/982/98210h.htm
Last modified: June 17, 1998