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Matematicheskie Zametki, 2011, Volume 89, Issue 2, Pages 285–299
DOI: https://doi.org/10.4213/mzm8937 (Mi mzm8937) 		 
This article is cited in 1 scientific paper (total in 1 paper)

New Estimate in Vinogradov's Mean-Value Theorem

S. N. Preobrazhenskii

M. V. Lomonosov Moscow State University
Full-text PDF (557 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8937
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.
Received: 28.12.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 2, Pages 277–290
DOI: https://doi.org/10.1134/S0001434611010330
Bibliographic databases:
Document Type: Article
UDC: 511.335
Language: Russian
Citation: S. N. Preobrazhenskii, “New Estimate in Vinogradov's Mean-Value Theorem”, Mat. Zametki, 89:2 (2011), 285–299; Math. Notes, 89:2 (2011), 277–290
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. Chiara Bellotti, “Explicit bounds for the Riemann zeta function and a new zero-free region”, Journal of Mathematical Analysis and Applications, 536:2 (2024), 128249  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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