A. Sankaranarayanan

activity

20222026

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3 papers · 1 filter

math.NT2023

On the Rankin-Selberg $L$ -function related to the Godement-Jacquet $L$ -function II

Amrinder Kaur, Ayyadurai Sankaranarayanan

In this paper, we consider the $k$ -th Riesz mean for the coefficients of the Rankin-Selberg $L$ -function $L_{f \times f} (s)$ related to the Godement-Jacquet $L$ -function with respe…

math.NT2023

On the coefficients of $ℓ$ -fold product $L$ -function

Ayyadurai Sankaranarayanan, Lalit Vaishya

Let $f \in S_{k} (S L_{2} (Z))$ be a normalized Hecke eigenforms of integral weight $k$ for the full modular group. In the article, we study the average behaviour of Fourier co…

math.NT2023

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 $k$ -full kernel f…

On the Rankin-Selberg L-function related to the Godement-Jacquet L-function II

On the coefficients of ℓ-fold product L-function

On certain kernel functions and shifted convolution sums of the Fourier coefficients

On the Rankin-Selberg $L$ -function related to the Godement-Jacquet $L$ -function II

On the coefficients of $ℓ$ -fold product $L$ -function