LOWER BOUNDS FOR THE MAHLER MEASURE AND INERTIA DEGREES OF PRIMES

Authors

Shanta Laishram, Indian Statistical Institute (Delhi Centre)
Gorekh Prasad, Harish Chandra Research Institute

Article Type

Research Article

Publication Title

Bulletin of the Australian Mathematical Society

Abstract

We investigate the relationship between lower bounds for the Mahler measure and splitting of primes, and prove various lower bounds for the Mahler measure of algebraic integers in terms of the least common multiples of all inertia degrees of primes. The results generalise work of the second author and Kumar ['Lehmer’s problem and splitting of rational primes in number fields', Acta Math. Hungar. 169(2) (2023), 349–358].

DOI

10.1017/S0004972724001084

Publication Date

1-1-2024

Comments

Open Access; Bronze Open Access

Recommended Citation

Laishram, Shanta and Prasad, Gorekh, "LOWER BOUNDS FOR THE MAHLER MEASURE AND INERTIA DEGREES OF PRIMES" (2024). Journal Articles. 4889.
https://digitalcommons.isical.ac.in/journal-articles/4889