A. Sankaranarayanan

activity

20132023

most citedThe Selberg-Delange method and mean value of arithmetic functions over short intervals

1 citations · 2 across the 4 of their papers we have counts for

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Showing 2022Show all

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math.NT2022

On the sum of the twisted Fourier coefficients of Maass forms by Möbius function

K Venkatasubbareddy, Amrinder Kaur, Ayyadurai Sankaranarayanan

In this paper, we study non-trivial upper bounds for the sum $n \in S \sum ∣ λ_{f} (n) ∣$ where $f$ is a normalized Maass eigencusp form for the full modular group, $λ_{f} (n)$ i…

math.NT2022

Godement-Jacquet $L$ -function, some conjectures and some consequences

Amrinder Kaur, Ayyadurai Sankaranarayanan

In this paper, we investigate the mean square estimate for the logarithmic derivative of the Godement--Jacquet $L$ -function $L_{f} (s)$ assuming the Riemann hypothesis for $L_{f} (s)$ an…

On the sum of the twisted Fourier coefficients of Maass forms by Möbius function

Godement-Jacquet L-function, some conjectures and some consequences

Godement-Jacquet $L$ -function, some conjectures and some consequences