Open AccessExtended Bounds of Beatty Sequence Associated with Primes
Author(s) -
F. Deraman,
S. H. Sapar,
Mohamat Aidil Mohamat Johari,
Kamel Ariffin Mohd Atan,
Ahmad Fadly Nurullah Rasedee
Publication year - 2019
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.f1019.0986s319
Subject(s) - character (mathematics) , irrational number , prime (order theory) , homogeneous , mathematics , sequence (biology) , moduli , prime number , combinatorics , infinity , pure mathematics , discrete mathematics , mathematical analysis , physics , geometry , genetics , quantum mechanics , biology
This paper discusses on the estimation of character sums with respect to non-homogeneous Beatty sequences, over prime where , and is irrational. In particular, the bounds is found by extending several properties of character sums associated with composite moduli over prime. As a result, the bound of is deduced.