Arkiv för Matematik

  • Ark. Mat.
  • Volume 46, Number 2 (2008), 337-347.

Hybrid mean value on the difference between an integer and its inverse modulo q

Huaning Liu and Wenpeng Zhang

Full-text: Open access

Abstract

The main purpose of this paper is to study the asymptotic property of one class of number-theoretic functions and give a sharp hybrid mean-value formula by using the generalized Bernoulli numbers, Gauss sums and the mean-value theorems of Dirichlet L-functions.

Article information

Source
Ark. Mat., Volume 46, Number 2 (2008), 337-347.

Dates
Received: 27 April 2006
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485907043

Digital Object Identifier
doi:10.1007/s11512-008-0072-2

Mathematical Reviews number (MathSciNet)
MR2430730

Zentralblatt MATH identifier
1229.11108

Rights
2008 © Institut Mittag-Leffler

Citation

Liu, Huaning; Zhang, Wenpeng. Hybrid mean value on the difference between an integer and its inverse modulo q. Ark. Mat. 46 (2008), no. 2, 337--347. doi:10.1007/s11512-008-0072-2. https://projecteuclid.org/euclid.afm/1485907043


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