Mean value on the difference between a quadratic residue and its inverse modulo \(p\)

DOI10.1007/S10114-005-0847-3zbMath1234.11105OpenAlexW2365549233MaRDI QIDQ2641558

Huaning Liu, Wen Peng Zhang

Publication date: 20 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0847-3

zbMATH Keywords

asymptotic formulaBernoulli numbersCochrane sumsinteger and its inversedifference between a quadratic residue and its inverse modulo a primehybrid mean value formula

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Estimates on exponential sums (11L07) (zeta (s)) and (L(s, chi)) (11M06) Congruences; primitive roots; residue systems (11A07)

Related Items (1)

Modular hyperbolas

Cites Work

• Unnamed Item
• On the difference between an integer and its inverse modulo \(n\). II
• The first power mean of the inversion of \(L\)-functions and general Kloosterman sums
• A note on the Cochrane sum and its hybrid mean value formula.
• On the general Kloosterman sum and its fourth power mean.
• On the \(2k\)-th power mean of Dirichlet \(L\)-functions with the weight of general Kloosterman sums
• On a Cochrane sum and its hybrid mean value formula. II
• On the difference between an integer and its inverse modulo \(n\)
• On certain character sums
• A sum analogous to Dedekind sums and its hybrid mean value formula
• On character sums in finite fields
• On a Cochrane sum and its hybrid mean value formula.

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