K. Venkatasubbareddy

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20222026

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math.NT2026

Orthogonality relation between $G L (3)$ coefficients and additive characters with linear and non-linear phases

K. Venkatasubbareddy

We study the distribution and oscillatory properties of prime-supported Fourier coefficients attached to a Hecke--Maass form for $SL (3, Z)$ twisted by additive ch…

math.NT2026

Generalization on the higher moments of the Fourier coefficients of symmetric power $L$ -functions

K. Venkatasubbareddy

For an even integer $k \geq 2$ , let $f$ be a primitive holomorphic cusp form of weight $k$ for the full modular group $S L (2, Z)$ and let $λ_{sym^{j} f} (n)$ denote the $n^\…

math.NT2025

On the distribution of the strongly multiplicative function $2^{ω (n)}$ on the set of natural numbers

K. Venkatasubbareddy, A. Sankaranarayanan

In this paper, we study the distribution of the sequence of integers $2^{ω (n)}$ under the assumption of the strong Riemann hypothesis, where $ω (n)$ denotes the number of distinct p…

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…

Orthogonality relation between GL(3) coefficients and additive characters with linear and non-linear phases

Generalization on the higher moments of the Fourier coefficients of symmetric power L-functions

On the distribution of the strongly multiplicative function 2ω(n) on the set of natural numbers

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

Orthogonality relation between $G L (3)$ coefficients and additive characters with linear and non-linear phases

Generalization on the higher moments of the Fourier coefficients of symmetric power $L$ -functions

On the distribution of the strongly multiplicative function $2^{ω (n)}$ on the set of natural numbers