DOIAbstract
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estimating the sums of divisor functions which are required in many standard arguments in analytic number theory
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estimating the sums of divisor functions which are required in many standard arguments in analytic number theory
summary:Let $$ T(q)=\sum _{k=1}^\infty d(k) q^k, \quad |q|<1, $$ where $d(k)$ denotes the number of ...
Let S be a set of positive integers and g be a multiplicative function. Consider the problem of esti...
We have observed the inequalities on number theoretic functions and one can easily find out the maxi...
Upper bounds for σ(n) are provided in terms of other arithmetic functions as ϕ(n), d(n), ψ(n), P(n),...
Let T(n) denote the product of divisors of the positive integer n. We introduce and study some basic...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
AbstractIn this paper we prove (in a rather more precise form) two conjectures of P. Erdös about the...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
Let {a_{1}(n)}_{n>1} be a purely periodic sequence of nonnegative integers, not identically zero, an...
AbstractLet σ(n) be the sum of the positive divisors of the positive integer n. We give an elementar...
AbstractLet {ϵd} be a sequence of nonnegative numbers and f(n) = Σ ϵd, the sum being over divisors d...
The divisor function $\tau(n)$ counts the number of positive divisors of an integer n. We are concer...
restricted sums of the number of divisors of an integer function including that described in [2{9, 1...
summary:A certain generalized divisor function $d^*(n)$ is studied which counts the number of factor...
In this paper, we obtain bounds on the L¹-norm of the sum ∑_(n≤x)τ(n)e(αn) where τ(n) is the divisor...
summary:Let $$ T(q)=\sum _{k=1}^\infty d(k) q^k, \quad |q|<1, $$ where $d(k)$ denotes the number of ...
Let S be a set of positive integers and g be a multiplicative function. Consider the problem of esti...
We have observed the inequalities on number theoretic functions and one can easily find out the maxi...
Upper bounds for σ(n) are provided in terms of other arithmetic functions as ϕ(n), d(n), ψ(n), P(n),...
Let T(n) denote the product of divisors of the positive integer n. We introduce and study some basic...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
AbstractIn this paper we prove (in a rather more precise form) two conjectures of P. Erdös about the...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
Let {a_{1}(n)}_{n>1} be a purely periodic sequence of nonnegative integers, not identically zero, an...
AbstractLet σ(n) be the sum of the positive divisors of the positive integer n. We give an elementar...
AbstractLet {ϵd} be a sequence of nonnegative numbers and f(n) = Σ ϵd, the sum being over divisors d...
The divisor function $\tau(n)$ counts the number of positive divisors of an integer n. We are concer...
restricted sums of the number of divisors of an integer function including that described in [2{9, 1...
summary:A certain generalized divisor function $d^*(n)$ is studied which counts the number of factor...
In this paper, we obtain bounds on the L¹-norm of the sum ∑_(n≤x)τ(n)e(αn) where τ(n) is the divisor...
summary:Let $$ T(q)=\sum _{k=1}^\infty d(k) q^k, \quad |q|<1, $$ where $d(k)$ denotes the number of ...
Let S be a set of positive integers and g be a multiplicative function. Consider the problem of esti...
We have observed the inequalities on number theoretic functions and one can easily find out the maxi...
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