DOIAbstract
AbstractThe equation y2 ≡ x(x + a1)(x + a2) … (x + ar) (mod p), where a1, a2, …, ar are integers is shown to have a solution in integers x, y with 1 ≦ x ≦C, where C is a constant depending only on a1, a2, …, ar
AbstractThe equation y2 ≡ x(x + a1)(x + a2) … (x + ar) (mod p), where a1, a2, …, ar are integers is shown to have a solution in integers x, y with 1 ≦ x ≦C, where C is a constant depending only on a1, a2, …, ar
AbstractIn this note, we supply the details of the proof of the fact that if a1,…,an+Ω(n) are intege...
We consider the problem of describing all non-negative integer solutions to a linear congruence in m...
AbstractLet In={1,2,…,n} and x:In↦R be a map such that ∑i∈Inxi⩾0. (For any i, its image is denoted b...
AbstractThe equation y2 ≡ x(x + a1)(x + a2) … (x + ar) (mod p), where a1, a2, …, ar are integers is ...
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynom...
AbstractAn answer is given for a problem of Chowla and Shimura concerning congruences of the type a1...
This paper contributes to the conjecture of R. Scott and R. Styer which asserts that for any fixed r...
Y. Bugeaud and T. N. Shorey [1] studied the equation x u−1 x−1 = yw−1 y−1 in integers y> x> 1,...
AbstractAs an extension of the Dirichlet divisor problem, S. Chowla and H. Walum conjectured that, a...
Abstract. In this paper, we establish a number of theorems on the classic Diophantine equation of S....
Abstract. We prove a generalization of an old conjecture of Pillai (now a theorem of Stroeker and Ti...
AbstractLet p be a prime number, λ be an integer. We obtain new results related to the congruence x1...
AbstractThis paper is a response to a problem in [R. K. Guy, "Unsolved Problems in Number Theory," S...
We find all positive integer solutions (x,y,a,b,n) of x2+2a⋅3b=yn with n≥3 and coprime x and y
Let m ≥ 2 and r ≥ 1 be integers and let c Є Zm = {0, 1, …,m ─ 1}. In this paper, we give an upper bo...
AbstractIn this note, we supply the details of the proof of the fact that if a1,…,an+Ω(n) are intege...
We consider the problem of describing all non-negative integer solutions to a linear congruence in m...
AbstractLet In={1,2,…,n} and x:In↦R be a map such that ∑i∈Inxi⩾0. (For any i, its image is denoted b...
AbstractThe equation y2 ≡ x(x + a1)(x + a2) … (x + ar) (mod p), where a1, a2, …, ar are integers is ...
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynom...
AbstractAn answer is given for a problem of Chowla and Shimura concerning congruences of the type a1...
This paper contributes to the conjecture of R. Scott and R. Styer which asserts that for any fixed r...
Y. Bugeaud and T. N. Shorey [1] studied the equation x u−1 x−1 = yw−1 y−1 in integers y> x> 1,...
AbstractAs an extension of the Dirichlet divisor problem, S. Chowla and H. Walum conjectured that, a...
Abstract. In this paper, we establish a number of theorems on the classic Diophantine equation of S....
Abstract. We prove a generalization of an old conjecture of Pillai (now a theorem of Stroeker and Ti...
AbstractLet p be a prime number, λ be an integer. We obtain new results related to the congruence x1...
AbstractThis paper is a response to a problem in [R. K. Guy, "Unsolved Problems in Number Theory," S...
We find all positive integer solutions (x,y,a,b,n) of x2+2a⋅3b=yn with n≥3 and coprime x and y
Let m ≥ 2 and r ≥ 1 be integers and let c Є Zm = {0, 1, …,m ─ 1}. In this paper, we give an upper bo...
AbstractIn this note, we supply the details of the proof of the fact that if a1,…,an+Ω(n) are intege...
We consider the problem of describing all non-negative integer solutions to a linear congruence in m...
AbstractLet In={1,2,…,n} and x:In↦R be a map such that ∑i∈Inxi⩾0. (For any i, its image is denoted b...
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