The mean value involving Dedekind sums and two-term exponential sums

DOI10.1007/s11425-011-4342-2zbMath1330.11053OpenAlexW1969508420MaRDI QIDQ424292

Xiaowei Pan, Ting-Ting Wang

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4342-2

zbMATH Keywords

Dedekind sumsasymptotic formulamean valuetwo-term exponential sums

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Estimates on character sums (11L40)

Related Items

New identities involving certain Hardy sums and two-term exponential sums

Cites Work

• On the mean values of Dedekind sums
• Using Stepanov's method for exponential sums involving rational functions
• Upper bounds on a two-term exponential sum
• Mean values of Dedekind sums
• Exponential sums modulo prime powers
• A sum analogous to Dedekind sums and its hybrid mean value formula
• A further refinement of Mordell's bound on exponential sums
• On Dirichlet Characters of Polynomials
• On the mean value of Dedekind sums
• A note on the mean square value of the Dedekind sums
• On a Cochrane sum and its hybrid mean value formula.
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