Results 21 to 30 of about 31,766 (124)
Generalized Kloosterman Sums from M2-branes [PDF]
, 2017 Kloosterman sums play a special role in analytic number theory, for expressing the integer Fourier coefficients of modular forms as an infinite sum of Bessel functions, also known as Rademacher formula. The generalization to vector-valued modular forms is known as generalized Kloosterman sums.
João Gomes
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On the distribution of primitive roots and Lehmer numbers
Electronic Research Archive, 2023 In this paper, we study the number of the Lehmer primitive roots solutions of a multivariate linear equation and the number of $ 1\leq x\leq p-1 $ such that for $ f(x)\in {\mathbb{F}}_p[x] $, $ k $ polynomials $ f(x+c_1), f(x+c_2), \ldots, f(x+c_k) $ are
Jiafan Zhang
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Generalization of the Lehmer problem over incomplete intervals
Journal of Inequalities and Applications, 2023 Let α ≥ 2 $\alpha \geq 2$ , m ≥ 2 $m\geq 2 $ be integers, p be an odd prime with p ∤ m ( m + 1 ) $p\nmid m (m+1 )$ , 0 < λ 1 $0 max { [ 1 λ 1 ] , [ 1 λ 2 ] } $q=p^{\alpha }> \max \{ [ \frac{1}{\lambda _{1}} ], [ \frac{1}{\lambda _{2}} ] \}$ .
Zhaoying Liu, Di Han
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Some Identities Involving Certain Hardy Sums and General Kloosterman Sums [PDF]
Mathematics, 2020 Using the properties of Gauss sums, the orthogonality relation of character sum and the mean value of Dirichlet L-function, we obtain some exact computational formulas for the hybrid mean value involving general Kloosterman sums K ( r , l , λ ; p ) and certain Hardy sums S 1 ( h , q ) ∑ m = 1 p − 1 ∑ s = 1 p
Zhang, Huifang, Zhang, Tianping
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New identities involving Hardy sums $S_3(h,k)$ and general Kloosterman sums
AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenjia Guo, Yuankui Ma, Tianping Zhang
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Summation formulas for general Kloosterman sums
Journal of Soviet Mathematics, 1982 N. V. Kuznetsov's summation formula is generalized to the case of a discrete subgroup G⊂SL2(ℝ) and a system of multiplicators χ, satisfying certain not too restrictive conditions. In the arithmetic cases, when G is a congruence-subgroup in SL2(ℤ), these conditions are satisfied. N. V. Kuznetsov's formula has been proved for the case G=SL2(ℤ)., χ=1.
N. Proskurin
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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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INVERSION OF L-FUNCTIONS, GENERAL KLOOSTERMAN SUMS WEIGHTED BY INCOMPLETE CHARACTER SUMS [PDF]
Journal of the Korean Mathematical Society, 2010 The main purpose of this paper is using estimates for char- acter sums and analytic methods to study the mean value involving the incomplete character sums, 2-th power mean of the inversion of Dirich- let L-function and general Kloosterman sums, and give four interesting asymptotic formulae for it.
Xiaobeng Zhang, Huaning Liu
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Kloosterman sums over finite Frobenius rings [PDF]
Acta Arithmetica, 2019 We study Kloosterman sums in a generalized ring-theoretic context, that of finite commutative Frobenius rings. We prove a number of identities for twisted Kloosterman sums, loosely clustered around moment computations.
B. Nica
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Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method [PDF]
, 2015 We prove a bound for quintilinear sums of Kloosterman sums, with congruence conditions on the ‘smooth’ summation variables. This generalizes classical work of Deshouillers and Iwaniec, and is key to obtaining power‐saving error terms in applications ...
S. Drappeau
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