P Akhilesh – Assistant Professor
📧 akhi@ksom.res.in
đź“ž 0495 2809012
Office: F6
Dr. P. Akhilesh is an Assistant Professor at the Kerala School of Mathematics. His research lies in analytic and computational number theory, with a particular focus on arithmetic functions, divisor sums, and modular forms.
He is especially interested in the structure and asymptotic behavior of special values of $L$-functions, multiple zeta values, and Apéry-type sums. His work often blends explicit estimates and deep identities in multiplicative number theory with a computational perspective, yielding results on Möbius sums, divisor correlations, and function averages.
đź”— Personal Homepage
Selected Publications
- Multiple zeta values and multiple Apéry-like sums , J. Number Theory, 2021.
- Tail of a Möbius sum with coprimality conditions (with O. Ramaré), Integers, 2018.
- Explicit averages of non-negative multiplicative functions: going beyond the main term (with O. Ramaré), Colloq. Math., 2017.
- Double tails of multiple zeta values , J. Number Theory, 2017.
- A chromatic version of Lagrange's four squares theorem (with D. S. Ramana), Monatsh. Math., 2015.
- A remark on the Beurling–Selberg function (with D. S. Ramana), Acta Math. Hungar., 2013.