Let p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, define the set Eq,p=a∣1≤a,a-≤p,aa-≡1modp and a≡a-modq. In this paper, we study a kind of mean value of Dirichlet character sums ∑a≤p a∈Eq,pχ(a), and use the properties of the Dirichlet L-functions and generalized Kloosterman sums to obtain an interesting estimate
An explicit formula for the mean value of |L(1, χ)| 2 is known, where χ runs over all odd primitive ...
We prove an asymptotic formula for the mean-square average of L-functions associated with subgroups ...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
AbstractLet χ be the Dirichlet character modulo q⩾3 and L(s,χ) denote the corresponding Dirichlet L-...
summary:Let $q\ge 3$ be an integer, let $\chi $ denote a Dirichlet character modulo $q.$ For any rea...
summary:Let $\chi $ be a nonprincipal Dirichlet character modulo a prime number $p\geqslant 3$ and l...
summary:Let $\chi $ be a nonprincipal Dirichlet character modulo a prime number $p\geqslant 3$ and l...
summary:For the general modulo $q\geq 3$ and a general multiplicative character $\chi $ modulo $q$, ...
AbstractThe main purpose of this paper is using the estimate for character sums and the analytic met...
We investigate the values of Dirichlet L-functions L(s, χ_p) at s = 1 as p runs through the primes i...
summary:For the general modulo $q\geq 3$ and a general multiplicative character $\chi $ modulo $q$, ...
Let p be an odd prime and k a non-negative integer. Let N be a positive integer such that p∤N and λ ...
Abstract. Let M() denote the maximum of j∑nN (n)j for a given non-principal Dirichlet character (mo...
summary:For the general modulo $q\geq 3$ and a general multiplicative character $\chi $ modulo $q$, ...
Abstract Let q > 2 $q>2$ be an integer, n ⩾ 2 $n\geqslant2$ be a fixed integer with ( n , q ) = 1 $(...
An explicit formula for the mean value of |L(1, χ)| 2 is known, where χ runs over all odd primitive ...
We prove an asymptotic formula for the mean-square average of L-functions associated with subgroups ...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
AbstractLet χ be the Dirichlet character modulo q⩾3 and L(s,χ) denote the corresponding Dirichlet L-...
summary:Let $q\ge 3$ be an integer, let $\chi $ denote a Dirichlet character modulo $q.$ For any rea...
summary:Let $\chi $ be a nonprincipal Dirichlet character modulo a prime number $p\geqslant 3$ and l...
summary:Let $\chi $ be a nonprincipal Dirichlet character modulo a prime number $p\geqslant 3$ and l...
summary:For the general modulo $q\geq 3$ and a general multiplicative character $\chi $ modulo $q$, ...
AbstractThe main purpose of this paper is using the estimate for character sums and the analytic met...
We investigate the values of Dirichlet L-functions L(s, χ_p) at s = 1 as p runs through the primes i...
summary:For the general modulo $q\geq 3$ and a general multiplicative character $\chi $ modulo $q$, ...
Let p be an odd prime and k a non-negative integer. Let N be a positive integer such that p∤N and λ ...
Abstract. Let M() denote the maximum of j∑nN (n)j for a given non-principal Dirichlet character (mo...
summary:For the general modulo $q\geq 3$ and a general multiplicative character $\chi $ modulo $q$, ...
Abstract Let q > 2 $q>2$ be an integer, n ⩾ 2 $n\geqslant2$ be a fixed integer with ( n , q ) = 1 $(...
An explicit formula for the mean value of |L(1, χ)| 2 is known, where χ runs over all odd primitive ...
We prove an asymptotic formula for the mean-square average of L-functions associated with subgroups ...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
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