Recently, Williams [1] and then Yao, Xia and Jin [2] discovered explicit formulas for the coefficients of the Fourier series expansions of a class of eta quotients. Williams expressed all coefficients of 126 eta quotients in terms of and and Yao, Xia and Jin, following the method of proof of Williams, expressed only even coefficients of 104 eta quotients in terms of and . Here, by using the method of proof of Williams, we will express the even Fourier coefficients of 196 eta quotients i.e., the Fourier coefficients of the sum, f(q)+f(-q), of 196 eta quotients in term
AbstractWe study the periodicity of signs of Fourier coefficients of the function,∏d|αf(−qd)rd, wher...
Let $f$ be a modular form of even weight $k$ and level $N$ which is a normalized eigen-form for the ...
AbstractWe consider quadrature formulas of high degree of precision for the computation of the Fouri...
Recently, Williams and then Yao, Xia and Jin discovered explicit formulas for the coefficients of th...
We determine the coefficients of the Fourier series of a class of eta quotients of weight 2. For exa...
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 ...
The goal of this note is to provide a general lower bound on the number of even values of the Fourie...
We find all the eta quotients in the spaces M ...
The main purpose and motivation of this work is to investigate and provide some new results for coef...
We give a new expression of the T-th Fourier coefficients of the Siegel-Eisenstein series of odd gen...
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...
AbstractWe study the linear relations among the Fourier coefficients of modular forms on the group Γ...
AbstractWe prove an explicit formula for Fourier coefficients of Siegel–Eisenstein series of degree ...
Now-a-days, approximation of functions have great importance in the field of science and engineering...
AbstractWe study the periodicity of signs of Fourier coefficients of the function,∏d|αf(−qd)rd, wher...
Let $f$ be a modular form of even weight $k$ and level $N$ which is a normalized eigen-form for the ...
AbstractWe consider quadrature formulas of high degree of precision for the computation of the Fouri...
Recently, Williams and then Yao, Xia and Jin discovered explicit formulas for the coefficients of th...
We determine the coefficients of the Fourier series of a class of eta quotients of weight 2. For exa...
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 ...
The goal of this note is to provide a general lower bound on the number of even values of the Fourie...
We find all the eta quotients in the spaces M ...
The main purpose and motivation of this work is to investigate and provide some new results for coef...
We give a new expression of the T-th Fourier coefficients of the Siegel-Eisenstein series of odd gen...
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...
AbstractWe study the linear relations among the Fourier coefficients of modular forms on the group Γ...
AbstractWe prove an explicit formula for Fourier coefficients of Siegel–Eisenstein series of degree ...
Now-a-days, approximation of functions have great importance in the field of science and engineering...
AbstractWe study the periodicity of signs of Fourier coefficients of the function,∏d|αf(−qd)rd, wher...
Let $f$ be a modular form of even weight $k$ and level $N$ which is a normalized eigen-form for the ...
AbstractWe consider quadrature formulas of high degree of precision for the computation of the Fouri...