Results 21 to 30 of about 3,648 (151)
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
core +1 more source
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
doaj +1 more source
Note on the Kloosterman Sum [PDF]
Proceedings of the American Mathematical Society, 1971 The Kloosterman sum \[ ∑ x = 0 ; ( x , p ) = 1 p α − 1 exp
openaire +2 more sources
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
doaj +1 more source
The balanced Voronoi formulas for GL(n)
, 2017 In this paper we show how the GL(N) Voronoi summation formula of [MiSc2] can be rewritten to incorporate hyper-Kloosterman sums of various dimensions on both sides.
Miller, Stephen D., Zhou, Fan
core +1 more source
Kloosterman sums with multiplicative coefficients [PDF]
Science China Mathematics, 2015 Let $f(n)$ be a multiplicative function satisfying $|f(n)|\leq 1$, $q$ $(\leq N^2)$ be a positive integer and $a$ be an integer with $(a,\,q)=1$. In this paper, we shall prove that $$\sum_{\substack{n\leq N\\ (n,\,q)=1}}f(n)e({a\bar{n}\over q})\ll\sqrt{τ(q)\over q}N\log\log(6N)+q^{{1\over 4}+{ε\over 2}}N^{1\over 2}(\log(6N))^{1\over 2}+{N\over \sqrt ...
Gong, Ke, Jia, Chaohua
openaire +2 more sources
Fourier expansions of complex-valued Eisenstein series on finite upper half planes
International Journal of Mathematics and Mathematical Sciences, 2006 We consider complex-valued modular forms on finite upper half planes Hq and obtain Fourier expansions of Eisenstein series invariant under the groups Γ=SL(2,Fp) and GL(2,Fp).
Anthony Shaheen, Audrey Terras
doaj +1 more source
manuscripta mathematica, 1991 Let \({\mathbb{F}}_ q\) be the finite field with q elements, V be a finite- dimensional vector space over \({\mathbb{F}}_ q\), dim V\(=n\), \(L_ 1\), \(L_ 2\) linear forms and Q a quadratic form on V. The author proves an upper bound for the Kloosterman sum \[ K(L_ 1,L_ 2;Q):=\sum_{Q(v)\neq 0}\chi ((L_ 1(v)+L_ 2(v)(Q(v))^{-1}), \] where \(\chi\) is a ...
openaire +1 more source
Fostering refugees' entrepreneurial instincts: Lessons from the past, learning for the future
European Management Review, EarlyView.Abstract The ongoing global crises have sparked academic discussions on immigration, recognizing it as a key factor in socio‐economic advancement. Immigration is viewed as an essential element of human capital, capable of addressing labor and skill shortages in developed nations.
Gagan Deep Sharma +4 more
wiley +1 more source
One special kind of Kloosterman sum and its fourth-power mean
Open MathematicsThis article aims to investigate the calculation problem of the fourth-power mean of the specific Kloosterman sums by utilizing analytic methods and the properties of classical Gauss sums.
Zhang Wenpeng, Wang Li, Liu Xiaoge
doaj +1 more source