3 papers
math.NT2026
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…
math.NT2026
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 ,…
math.NT2022
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…