Let $\Delta(x)=\sum_{n\leq x}a(n)-\sum_{j=1}^6 c_jx^{1/j}$ denote the error term in the abelian group problem. Using zeta-function methods it is proved that $$\int_1^X\Delta^2(x)\,dx~<\!\!<~ X^{39/29} \log^2X$$ where the exponent $39/29=1.344827\ldots$ is close to the best possible exponent $4/3$ in this problem
AbstractLetGbe a finite abelian group with exponente, letr(G) be the minimal integertwith the proper...
AbstractLet G be a finite additive abelian group with exponent exp(G)=n>1 and let A be a nonempty su...
In this paper we prove that if n, k and t be positive integer numbers such that t < k < n and G is a...
International audienceLet $\Delta(x)=\sum_{n\leq x}a(n)-\sum_{j=1}^6 c_jx^{1/j}$ denote the error te...
Abstract. By using Ivić’s methods for general divisor problem and count-ing function of abelian fin...
Let a(n) be the number of non-isomorphic abelian groups of order n. In this paper, we study a symmet...
AbstractLet a(n) denote the number of nonisomorphic Abelian groups with n elements. Several problems...
SIGLELD:D45844/83 / BLDSC - British Library Document Supply CentreGBUnited Kingdo
An explicit formula for the mean value of |L(1, χ)| 2 is known, where χ runs over all odd primitive ...
Let $E_sigma (T)$ be the error term in the mean square formula of the Riemann zeta-function in the c...
Sejam G um grupo abeliano finito de expoente ne AC [1,n— 1). Neste trabalho estudaremos os invariant...
AbstractLet G be a finite abelian group of exponent m, and k a positive integer. Let skm(G) be the s...
International audienceIn this paper we study the mean square of the error term ∆ * k (Q, x) in a div...
AbstractLet G be an abelian group of order n (written multiplicatively), let g∈G and let d be an int...
AbstractThe groups in this paper are abelian. In this Addendum to [T.G. Faticoni, The class number o...
AbstractLetGbe a finite abelian group with exponente, letr(G) be the minimal integertwith the proper...
AbstractLet G be a finite additive abelian group with exponent exp(G)=n>1 and let A be a nonempty su...
In this paper we prove that if n, k and t be positive integer numbers such that t < k < n and G is a...
International audienceLet $\Delta(x)=\sum_{n\leq x}a(n)-\sum_{j=1}^6 c_jx^{1/j}$ denote the error te...
Abstract. By using Ivić’s methods for general divisor problem and count-ing function of abelian fin...
Let a(n) be the number of non-isomorphic abelian groups of order n. In this paper, we study a symmet...
AbstractLet a(n) denote the number of nonisomorphic Abelian groups with n elements. Several problems...
SIGLELD:D45844/83 / BLDSC - British Library Document Supply CentreGBUnited Kingdo
An explicit formula for the mean value of |L(1, χ)| 2 is known, where χ runs over all odd primitive ...
Let $E_sigma (T)$ be the error term in the mean square formula of the Riemann zeta-function in the c...
Sejam G um grupo abeliano finito de expoente ne AC [1,n— 1). Neste trabalho estudaremos os invariant...
AbstractLet G be a finite abelian group of exponent m, and k a positive integer. Let skm(G) be the s...
International audienceIn this paper we study the mean square of the error term ∆ * k (Q, x) in a div...
AbstractLet G be an abelian group of order n (written multiplicatively), let g∈G and let d be an int...
AbstractThe groups in this paper are abelian. In this Addendum to [T.G. Faticoni, The class number o...
AbstractLetGbe a finite abelian group with exponente, letr(G) be the minimal integertwith the proper...
AbstractLet G be a finite additive abelian group with exponent exp(G)=n>1 and let A be a nonempty su...
In this paper we prove that if n, k and t be positive integer numbers such that t < k < n and G is a...
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