Add to ORKGThe main purpose and motivation of this work is to investigate and provide some new results for coefficients derived from eta quotients related to 3. The result of this paper involve some restricted divisor numbers and their convolution sums. Also, our results give relation between the coefficients derived from infinite product, infinite sum and the convolution sum of restricted divisor functions
SIGLEAvailable from British Library Document Supply Centre- DSC:D67545/86 / BLDSC - British Library ...
We conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it i...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
The sum of divisors function σ(m) is defined by σ(m) = {∑d d∈ℕ d|m if m ∈ ℕ, 0 if m ∈ ℚ, m ∉ ℕ. Let ...
Recently, Williams [1] and then Yao, Xia and Jin [2] discovered explicit formulas for the coefficien...
We determine the coefficients of the Fourier series of a class of eta quotients of weight 2. For exa...
We investigate the parity of the coefficients of certain eta-quotients, extensively examining the ca...
Recently, Williams and then Yao, Xia and Jin discovered explicit formulas for the coefficients of th...
AbstractIn this note we deduce a family of eta-function identities using Ramanujan′s 1ψ1 summation
In this note we deduce a family of eta-function identities using Ramanujan′s 1ψ1 summation
Let k, N ∈ N with N square-free and k > 1. We prove an orthogonal relation and use this to compute t...
In this note, we evaluate certain convolution sums and make some remarks about the Fourier coefficie...
The goal of this note is to provide a general lower bound on the number of even values of the Fourie...
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estim...
The values of the partition function, and more generally the Fourier coefficients of many modular fo...
SIGLEAvailable from British Library Document Supply Centre- DSC:D67545/86 / BLDSC - British Library ...
We conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it i...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
The sum of divisors function σ(m) is defined by σ(m) = {∑d d∈ℕ d|m if m ∈ ℕ, 0 if m ∈ ℚ, m ∉ ℕ. Let ...
Recently, Williams [1] and then Yao, Xia and Jin [2] discovered explicit formulas for the coefficien...
We determine the coefficients of the Fourier series of a class of eta quotients of weight 2. For exa...
We investigate the parity of the coefficients of certain eta-quotients, extensively examining the ca...
Recently, Williams and then Yao, Xia and Jin discovered explicit formulas for the coefficients of th...
AbstractIn this note we deduce a family of eta-function identities using Ramanujan′s 1ψ1 summation
In this note we deduce a family of eta-function identities using Ramanujan′s 1ψ1 summation
Let k, N ∈ N with N square-free and k > 1. We prove an orthogonal relation and use this to compute t...
In this note, we evaluate certain convolution sums and make some remarks about the Fourier coefficie...
The goal of this note is to provide a general lower bound on the number of even values of the Fourie...
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estim...
The values of the partition function, and more generally the Fourier coefficients of many modular fo...
SIGLEAvailable from British Library Document Supply Centre- DSC:D67545/86 / BLDSC - British Library ...
We conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it i...
There is a body of work in the literature on various restricted sums of the number of divisors of an...