Results 11 to 20 of about 3,574 (134)
The hybrid power mean of quartic Gauss sums and Kloosterman sums
Open Mathematics, 2017 The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact ...
Xiaoxue Li, Jiayuan Hu
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On sums of hyper-Kloosterman sums
Forum Mathematicum, 2023 Abstract A formula of Kuznetsov allows one to interpret a smooth sum of Kloosterman sums as a sum over the spectrum of GL (
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On moments of twisted $L$-functions [PDF]
, 2016 We study the average of the product of the central values of two $L$-functions of modular forms $f$ and $g$ twisted by Dirichlet characters to a large prime modulus $q$.
Blomer, Valentin +4 more
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On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
Abstract and Applied Analysis, 2013 The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact ...
Di Han, Wenpeng Zhang
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On general partial Gaussian sums
Journal of Inequalities and Applications, 2016 Let q ≥ 2 $q\geq2$ be a fixed integer, A = A ( q ) ≤ q $A=A(q)\leq q$ , B = B ( q ) ≤ q $B=B(q)\leq q$ , and H = H ( q ) ≤ q $H=H(q)\leq q$ . Define ħ ( A , B , H ) = { a ∈ Z ∣ ( a , q ) = 1 , a b ≡ 1 ( mod q ) , 1 ≤ a ≤ A , 1 ≤ b ≤ B , | a − b | ≤ H } .
Ganglian Ren +2 more
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On the first power mean of L-functions with the weight of general Kloosterman sums
International Journal of Mathematics and Mathematical Sciences, 2002 The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L-functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.
Zhang Wenpeng
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Character sums over generalized Lehmer numbers
Journal of Inequalities and Applications, 2016 Let q > 2 $q>2$ be an integer, n ⩾ 2 $n\geqslant2$ be a fixed integer with ( n , q ) = 1 $(n,q)=1$ , ψ be a non-principal Dirichlet character modq. An upper bound estimate for character sums of the form ∑ a ∈ C ( 1 , q ) ψ ( a ) $$\sum_{a\in\textit{C}(1 ...
Yuankui Ma +3 more
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Kloosterman sums with multiplicative coefficients [PDF]
Science China Mathematics, 2015 In this version we make some ...
Gong, Ke, Jia, Chaohua
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On a Kind of Dirichlet Character Sums
Abstract and Applied Analysis, 2013 Let p≥3 be a prime and let χ denote the Dirichlet character modulo p.
Rong Ma, Yulong Zhang, Guohe Zhang
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