7 papers
On the counting function of square-full numbers
Ayyadurai Sankaranarayanan, P. Akhilesh
We study the distribution of square-full numbers under the assumptions of Riemann hypothesis and that the zeros of are simple. Thus the error term is improved to a considera…
On the discrete mean square of certain hybrid sum involving
Ekta Soni, M. S. Datt, A. Sankaranarayanan
Let be a non-normal algebraic number field of cubic degree given by the polynomial of discriminant . For sufficiently large ,…
On the Rankin-Selberg -function related to the Godement-Jacquet -function II
Amrinder Kaur, Ayyadurai Sankaranarayanan
In this paper, we consider the -th Riesz mean for the coefficients of the Rankin-Selberg -function related to the Godement-Jacquet -function with respe…
On the coefficients of -fold product -function
Ayyadurai Sankaranarayanan, Lalit Vaishya
Let be a normalized Hecke eigenforms of integral weight for the full modular group. In the article, we study the average behaviour of Fourier co…
On certain kernel functions and shifted convolution sums of the Fourier coefficients
K. Venkatasubbareddy, A. Sankaranarayanan
We study the behavior of the shifted convolution sum involving fourth power of the Fourier coefficients of holomorphic cusp forms with a weight function to be the -full kernel f…
On the average behavior of the Fourier coefficients of symmetric power -function over a certain sequences of positive integers
Anubhav Sharma, Ayyadurai Sankaranarayanan
In this paper, we investigate the average behavior of the normalized Fourier coefficients of the ( be any fixed integer) symmetric power -function (i…
On the average behavior of coefficients related to triple product L-functions
Venkatasubbareddy K, Sankaranarayanan Ayyadurai
In this paper, we study the average behaviour of the coefficients of triple product L-functions and some related L-functions corresponding to normalized primitive holomorphic cusp…