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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 296, Pages 265–279
DOI: https://doi.org/10.1134/S0371968517010216 (Mi tm3767) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Sums of multiplicative characters with additive convolutions

A. S. Volostnov, I. D. Shkredov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (225 kB) Citations (9)
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DOI: https://doi.org/10.1134/S0371968517010216
Abstract: We obtain new estimates for binary and ternary sums of multiplicative characters with additive convolutions of characteristic functions of sets with small additive doubling. In particular, we improve a result of Mei-Chu Chang. The proof uses the Croot–Sisask almost periodicity lemma.
Funding agency Grant number
Russian Science Foundation 14-11-00433
This work is supported by the Russian Science Foundation under grant 14-11-00433.
Received: May 10, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 296, Pages 256–269
DOI: https://doi.org/10.1134/S0081543817010217
Bibliographic databases:
Document Type: Article
UDC: 511.66+511.336+511.218
Language: Russian
Citation: A. S. Volostnov, I. D. Shkredov, “Sums of multiplicative characters with additive convolutions”, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 265–279; Proc. Steklov Inst. Math., 296 (2017), 256–269
Citation in format AMSBIB
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\inbook Analytic and combinatorial number theory
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov
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\vol 296
\pages 265--279
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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