AbstractLet q⩾2 be an integer, χ be any non-principal character mod q, and H=H(q)⩽q. In this paper the authors prove some estimates for character sums of the formW(χ,H;q)=∑n∈F(H)χ(n), whereF(H)={n∈Z|(n,q)=1,1⩽n,n¯⩽q,|n−n¯|⩽H}, n¯ is defined by nn¯≡1(modq)
AbstractFor B⩾1 let N(B) denote the number of solutions of the equation n1n2=n3n4 with 1⩽ni⩽B. For a...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
AbstractLet q⩾2 be an integer, χ be any non-principal character mod q, and H=H(q)⩽q. In this paper t...
Abstract Let q > 2 $q>2$ be an integer, n ⩾ 2 $n\geqslant2$ be a fixed integer with ( n , q ) = 1 $(...
Abstract. We give nontrivial bounds in various ranges for character sums of the form ∑ n∈S(x, y) χ(R...
Abstract. We obtain formulae and estimates for character sums of the type S(χ, f, pm) = ∑pm x=1 χ(f(...
AbstractThe occurrence of large values for the sums S(χ, x) = Σn ≤x χ(n), where χ is a primitive cha...
Let χ be a primitive multiplicative character modulo an integer m ≥ 1. Using some classical bounds o...
We give upper bounds for sums of multiplicative characters modulo an integer q ≧ 2 with the Euler fu...
AbstractIn this paper, we give estimates of character sums of Weil type. They are associated with po...
Let p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, defi...
AbstractA mean-value estimate for character sums with real characters is proved in an elementary way...
AbstractA mean-value estimate for character sums with real characters is proved in an elementary way...
Abstract. Let M() denote the maximum of j∑nN (n)j for a given non-principal Dirichlet character (mo...
AbstractFor B⩾1 let N(B) denote the number of solutions of the equation n1n2=n3n4 with 1⩽ni⩽B. For a...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
AbstractLet q⩾2 be an integer, χ be any non-principal character mod q, and H=H(q)⩽q. In this paper t...
Abstract Let q > 2 $q>2$ be an integer, n ⩾ 2 $n\geqslant2$ be a fixed integer with ( n , q ) = 1 $(...
Abstract. We give nontrivial bounds in various ranges for character sums of the form ∑ n∈S(x, y) χ(R...
Abstract. We obtain formulae and estimates for character sums of the type S(χ, f, pm) = ∑pm x=1 χ(f(...
AbstractThe occurrence of large values for the sums S(χ, x) = Σn ≤x χ(n), where χ is a primitive cha...
Let χ be a primitive multiplicative character modulo an integer m ≥ 1. Using some classical bounds o...
We give upper bounds for sums of multiplicative characters modulo an integer q ≧ 2 with the Euler fu...
AbstractIn this paper, we give estimates of character sums of Weil type. They are associated with po...
Let p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, defi...
AbstractA mean-value estimate for character sums with real characters is proved in an elementary way...
AbstractA mean-value estimate for character sums with real characters is proved in an elementary way...
Abstract. Let M() denote the maximum of j∑nN (n)j for a given non-principal Dirichlet character (mo...
AbstractFor B⩾1 let N(B) denote the number of solutions of the equation n1n2=n3n4 with 1⩽ni⩽B. For a...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
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