Discrepancy estimates for some linear generalized monomials at prime arguments

Authors

C. G.Karthick Babu, Indian Statistical Institute Bangalore
Anirban Mukhopadhyay, Institute of Mathematical Sciences India
G. K. Viswanadham, Indian Institute of Science Education and Research Berhampur

Article Type

Research Article

Publication Title

Ramanujan Journal

Abstract

We obtain an upper bound for the discrepancy of the sequence ([pα] β) generated by the generalized monomial [xα] β , where p runs through the set of all primes and α , β are irrational numbers satisfying certain conditions.

First Page

431

Last Page

449

DOI

10.1007/s11139-023-00767-5

Publication Date

2-1-2024

Recommended Citation

Babu, C. G.Karthick; Mukhopadhyay, Anirban; and Viswanadham, G. K., "Discrepancy estimates for some linear generalized monomials at prime arguments" (2024). Journal Articles. 4715.
https://digitalcommons.isical.ac.in/journal-articles/4715