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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 a…
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 bo…