A note on the Cochrane sum and its hybrid mean value formula.
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Publication:1419739
DOI10.1016/J.JMAA.2003.09.056zbMath1046.11056OpenAlexW1968822906MaRDI QIDQ1419739
Publication date: 26 January 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.056
(zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05) Dedekind eta function, Dedekind sums (11F20)
Related Items (14)
A hybrid mean value involving Cochrane sums and a new sum analogous to Kloosterman sums ⋮ Mean value on the difference between a quadratic residue and its inverse modulo \(p\) ⋮ General Kloosterman sums and the difference between an integer and its inverse modulo \(q\) ⋮ On the Gauss sums and generalized Bernoulli numbers ⋮ High-dimensional D. H. Lehmer problem over short intervals ⋮ Hybrid mean value on the difference between an integer and its inverse modulo \(q\) ⋮ Note on the mean value of higher-Kloosterman sums ⋮ Generalized Knopp identities for homogeneous Hardy sums and Cochrane-Hardy sums ⋮ On the hybrid mean value of Gauss sums and generalized Bernoulli numbers ⋮ On the mean value of \(\frac{L^{\prime}}{L}(1,\chi)\) ⋮ Generalized Cochrane sums and Cochrane-Hardy sums ⋮ Some applications of certain character sums ⋮ On Cochrane sums over short intervals ⋮ A mean value of Cochrane sum
Cites Work
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- An exact formula for an average of L-series
- On a Cochrane sum and its hybrid mean value formula. II
- Mean values of Dedekind sums
- A sum analogous to Dedekind sums and its hybrid mean value formula
- 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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