dedekind zeta functions 1generalised riemann hypothesis 1moment bounds 1number fields 1shifted moments 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
Sharp Upper Bounds for Moments of Dedekind Zeta Functions
Benjamin Durkan, Nilmoni Karak, Kamalakshya Mahatab
Assuming the Generalised Riemann Hypothesis, the authors prove conjecturally sharp upper bounds for shifted moments of products of Dedekind zeta functions over arbitrary number fie…
math.NT2025
Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
Nilmoni Karak
Using a recent method developed by Mahatab, we obtain an improved -bound for the error term arising in lattice counting problem of bodies of revolution in around…
math.NT2025
The Piltz divisor Problem in Number Fields Using The Resonance Method
Nilmoni Karak, Kamalakshya Mahatab
The Piltz divisor problem is a natural generalization of the classical Dirichlet divisor problem. In this paper, we study this problem over number fields and obtain improved b…