Anubhav Sharma

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math.NT2026

Sparse Distribution of Coefficients of $ℓ$ -fold Product $L$ -functions at Integers Represented by Quadratic Forms

Anubhav Sharma, Mohit Tripathi, Lalit Vaishya

Let $f \in S_{k} (Γ_{0} (N))$ be a normalized Hecke eigenform. We study the Fourier coefficients $λ_{f \otimes \dots \otimes_{ℓ} f} (n)$ of the $ℓ$ -fold product $L$ -function fo…

math.NT2025

On additive convolution sum of arithmetic functions and related questions

Bikram Misra, Biswajyoti Saha, Anubhav Sharma

Ingham studied two types of convolution sums of the divisor function, the shifted convolution sum $\sum_{n \leq N} d (n) d (n + h)$ and the additive convolution sum $\sum_{n < N} d(n) d…

Sparse Distribution of Coefficients of ℓ-fold Product L-functions at Integers Represented by Quadratic Forms

On additive convolution sum of arithmetic functions and related questions

Sparse Distribution of Coefficients of $ℓ$ -fold Product $L$ -functions at Integers Represented by Quadratic Forms