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Matematicheskie Zametki, 1998, Volume 64, Issue 2, Pages 285–296
DOI: https://doi.org/10.4213/mzm1396 (Mi mzm1396) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the number of summands in the asymptotic formula for the number of solutions to Waring's equation

A. V. Ustinov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/mzm1396
Abstract: In the paper, an estimate of the number of summands in the asymptotic formula for the number of solutions to Waring's equation is obtained. This is achieved by means of a recurrent process leading to a greater reduction than that in Vinogradov's mean value theorem.
Received: 23.03.1998
English version:
Mathematical Notes, 1998, Volume 64, Issue 2, Pages 240–250
DOI: https://doi.org/10.1007/BF02310311
Bibliographic databases:
UDC: 511.3
Language: Russian
Citation: A. V. Ustinov, “On the number of summands in the asymptotic formula for the number of solutions to Waring's equation”, Mat. Zametki, 64:2 (1998), 285–296; Math. Notes, 64:2 (1998), 240–250
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm1396
  • https://www.mathnet.ru/eng/mzm/v64/i2/p285
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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