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Bounds for exponential sums modulo \(p^2\)

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Publication:950797
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DOI10.1007/s10958-007-0385-xzbMath1204.11133OpenAlexW2073641830MaRDI QIDQ950797

Yuri V. Malykhin

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0385-x



Mathematics Subject Classification ID

Estimates on exponential sums (11L07)


Related Items (3)

Binomial character sums modulo prime powers ⋮ On the additive energy of the Heilbronn subgroup ⋮ On the few products, many sums problem



Cites Work

  • Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order.
  • Kloosterman double sums
  • Exponential sum estimates over subgroups of \(\mathbb Z^*_q\), \(q\) arbitrary
  • Fractional parts of functions of a special form
  • New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
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