AbstractThe equation Σf(n)n = 0 is studied for periodic algebraically-valued functions f and, in particular, a well known problem of Chowla in this context is resolved. The work depends on an application of a theorem of the first author concerning linear forms in the logarithms of algebraic numbers
Solutions of the quartic Fermat equation in ring class fields of odd conductor over quadratic fields...
AbstractSome criteria for testing whether certain types of entire functions are prime or not are giv...
AbstractThe Chowla-Selberg formula is a monomial relation connecting the values of certain automorph...
AbstractIn 1964, S. Chowla asked if there is a non-zero integer-valued function f with prime period ...
AbstractIn 1964, S. Chowla asked if there is a non-zero integer-valued function f with prime period ...
AbstractIn 1965, Chowla and Walum conjectured that, Ga,k(x):= Σn ≤ √x na Pk(xn) = O(xa2 + 14 + ε) ho...
AbstractWe extend to finite fields in general the results proved, in a recent paper (J. Number Theor...
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynom...
Given k 08N, we study the vanishing of the Dirichlet series. Dk(s,f):= 11n 651dk(n)f(n)n-s at the po...
AbstractIf s(t) is a periodic sequence from GF(q) = F, and if N is the number of times a non-zero el...
AbstractIt is shown that the coefficients an of the power series f(z) = ∑∞n=1anzn which satisfies th...
AbstractAn answer is given for a problem of Chowla and Shimura concerning congruences of the type a1...
AbstractIn this paper, we obtain a canonical representation for those polynomials (with integer coef...
AbstractLet θ(k, pn) be the least s such that the congruence x1k + ⋯ + xsk ≡ 0 (mod pn) has a nontri...
AbstractWe show that it follows from results on linear forms in logarithms of algebraic numbers such...
Solutions of the quartic Fermat equation in ring class fields of odd conductor over quadratic fields...
AbstractSome criteria for testing whether certain types of entire functions are prime or not are giv...
AbstractThe Chowla-Selberg formula is a monomial relation connecting the values of certain automorph...
AbstractIn 1964, S. Chowla asked if there is a non-zero integer-valued function f with prime period ...
AbstractIn 1964, S. Chowla asked if there is a non-zero integer-valued function f with prime period ...
AbstractIn 1965, Chowla and Walum conjectured that, Ga,k(x):= Σn ≤ √x na Pk(xn) = O(xa2 + 14 + ε) ho...
AbstractWe extend to finite fields in general the results proved, in a recent paper (J. Number Theor...
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynom...
Given k 08N, we study the vanishing of the Dirichlet series. Dk(s,f):= 11n 651dk(n)f(n)n-s at the po...
AbstractIf s(t) is a periodic sequence from GF(q) = F, and if N is the number of times a non-zero el...
AbstractIt is shown that the coefficients an of the power series f(z) = ∑∞n=1anzn which satisfies th...
AbstractAn answer is given for a problem of Chowla and Shimura concerning congruences of the type a1...
AbstractIn this paper, we obtain a canonical representation for those polynomials (with integer coef...
AbstractLet θ(k, pn) be the least s such that the congruence x1k + ⋯ + xsk ≡ 0 (mod pn) has a nontri...
AbstractWe show that it follows from results on linear forms in logarithms of algebraic numbers such...
Solutions of the quartic Fermat equation in ring class fields of odd conductor over quadratic fields...
AbstractSome criteria for testing whether certain types of entire functions are prime or not are giv...
AbstractThe Chowla-Selberg formula is a monomial relation connecting the values of certain automorph...
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