The hybrid mean value of Dedekind sums and two-term exponential sums

Chang Leran; Li Xiaoxue

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 436-442
  • ISSN: 2391-5455

Abstract

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In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.

How to cite

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Chang Leran, and Li Xiaoxue. "The hybrid mean value of Dedekind sums and two-term exponential sums." Open Mathematics 14.1 (2016): 436-442. <http://eudml.org/doc/285750>.

@article{ChangLeran2016,
abstract = {In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.},
author = {Chang Leran, Li Xiaoxue},
journal = {Open Mathematics},
keywords = {Dedekind sums; The two-term exponential sums; Hybrid mean value; Identity; Asymptotic formula; the two-term exponential sums; hybrid mean value; identity; asymptotic formula},
language = {eng},
number = {1},
pages = {436-442},
title = {The hybrid mean value of Dedekind sums and two-term exponential sums},
url = {http://eudml.org/doc/285750},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Chang Leran
AU - Li Xiaoxue
TI - The hybrid mean value of Dedekind sums and two-term exponential sums
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 436
EP - 442
AB - In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.
LA - eng
KW - Dedekind sums; The two-term exponential sums; Hybrid mean value; Identity; Asymptotic formula; the two-term exponential sums; hybrid mean value; identity; asymptotic formula
UR - http://eudml.org/doc/285750
ER -

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