Bibliographic Details
| Title: |
The Piltz divisor problem in number fields using the resonance method. |
| Authors: |
Karak, Nilmoni1 (AUTHOR) nilmonikarak@gmail.com, Mahatab, Kamalakshya1 (AUTHOR) kamalakshya@maths.iitkgp.ac.in |
| Source: |
Journal of Number Theory. Apr2026, Vol. 281, p726-740. 15p. |
| Subjects: |
Algebraic fields, Small divisors, Mathematical formulas, Mathematicians, Approximation error, Asymptotic expansions |
| Abstract: |
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 Ω-bounds for its error terms. Our approach involves generalizing a Voronoi-type formula due to Soundararajan in the number field setting, and applying a recent result due to the second author. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
