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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2011 Volume 89, Issue 2, Pages 285–299 (Mi mzm8937)

This article is cited in 1 paper

New Estimate in Vinogradov's Mean-Value Theorem

S. N. Preobrazhenskii

M. V. Lomonosov Moscow State University

Abstract: We refine the upper bound for the Vinogradov integral.

Keywords: Vinogradov's mean-value theorem, Vinogradov integral, Diophantine equation, Weyl sum, exponential sums, Waring's problem, Riemann zeta function.

UDC: 511.335

Received: 28.12.2009

DOI: 10.4213/mzm8937


 English version:
Mathematical Notes, 2011, 89:2, 277–290

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