AbstractAn elementary proof is given of the Hasse-Weil theorem about the number of solutions of the hyperelliptic congruence y2 ≡ f(x) (mod p), where the polynomial f(x) has odd degree
AbstractLet k1 ⩽ k2 ⩽ … ⩽ kn be given positive integers and let F denote the set of vectors (l1, …, ...
AbstractAs an extension of the Dirichlet divisor problem, S. Chowla and H. Walum conjectured that, a...
AbstractA well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic fo...
AbstractThe localization LS(x) of log(1 + x) at a set of primes S is defined by taking those powers ...
AbstractLet α > 1. Denoting by [x] the integer part of x, we give complete answers to the following ...
AbstractWe prove that, if f(z) is an entire function and ¦f(z)¦ ⩽ (A1 + A2 ¦z¦n) exp[ax2 + by2 + cx ...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
AbstractLet f(x1, x2,…, xn) be a polynomial with rational integral coefficients. Let d(f) be the gre...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractIf b(m;n) denotes the number of partitions of n into powers of m, then b(m; mr+1n) ≡ b(m; mr...
AbstractWe derive two generating functions and an explicit formula for the polynomials {Hn(x)} studi...
AbstractLet p(n) denote the number of unrestricted partitions of n. It is known that p(5m+4), p(7m+5...
AbstractIf Φ(x) is defined on [−1, 1], let Ln(Φ, x) denote the Lagrange interpolation polynomial of ...
AbstractWe obtain two sided Ω-estimates for the class of convolutions g(x) ≔ Σn ≤ zα(n)naf(xn), wher...
AbstractWe continue the discussion of the numbers c(G) and r(G) defined in [1]. The following result...
AbstractLet k1 ⩽ k2 ⩽ … ⩽ kn be given positive integers and let F denote the set of vectors (l1, …, ...
AbstractAs an extension of the Dirichlet divisor problem, S. Chowla and H. Walum conjectured that, a...
AbstractA well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic fo...
AbstractThe localization LS(x) of log(1 + x) at a set of primes S is defined by taking those powers ...
AbstractLet α > 1. Denoting by [x] the integer part of x, we give complete answers to the following ...
AbstractWe prove that, if f(z) is an entire function and ¦f(z)¦ ⩽ (A1 + A2 ¦z¦n) exp[ax2 + by2 + cx ...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
AbstractLet f(x1, x2,…, xn) be a polynomial with rational integral coefficients. Let d(f) be the gre...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractIf b(m;n) denotes the number of partitions of n into powers of m, then b(m; mr+1n) ≡ b(m; mr...
AbstractWe derive two generating functions and an explicit formula for the polynomials {Hn(x)} studi...
AbstractLet p(n) denote the number of unrestricted partitions of n. It is known that p(5m+4), p(7m+5...
AbstractIf Φ(x) is defined on [−1, 1], let Ln(Φ, x) denote the Lagrange interpolation polynomial of ...
AbstractWe obtain two sided Ω-estimates for the class of convolutions g(x) ≔ Σn ≤ zα(n)naf(xn), wher...
AbstractWe continue the discussion of the numbers c(G) and r(G) defined in [1]. The following result...
AbstractLet k1 ⩽ k2 ⩽ … ⩽ kn be given positive integers and let F denote the set of vectors (l1, …, ...
AbstractAs an extension of the Dirichlet divisor problem, S. Chowla and H. Walum conjectured that, a...
AbstractA well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic fo...
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