Character sums associated with nonhomogeneous Beatty sequences for quadratic common difference

Citation

Low, Chee Wai and Sapar, Siti Hasana and Deraman, Fatanah and Mohamat Johari, Mohamat Aidil (2025) Character sums associated with nonhomogeneous Beatty sequences for quadratic common difference. Malaysian Journal of Fundamental and Applied Sciences, 21 (5). pp. 2675-2687. ISSN 2289-599X

Abstract

Beatty sequence is a special type of sequence by taking the floor of the positive value of an irrational number. This paper will find an explicit bounds of character sums associated with non-homogeneous Beatty sequence in quadratic fields. Next, we obtained the cardinality of character sums associated with composite moduli. Finally, we found the estimated bound of character sums associated with composite moduli by using the discrepancy and the cardinality.

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Additional Metadata

Item Type:	Article
Subject:	Chemistry (all)
Subject:	Mathematics (all)
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.11113/mjfas.v21n5.3700
Publisher:	Penerbit UTM Press
Keywords:	Beatty sequence; Cardinality; Discrepancy; Estimation of character sums; Multiplicative group
Depositing User:	Ms. Nur Faseha Mohd Kadim
Date Deposited:	26 Feb 2026 08:37
Last Modified:	26 Feb 2026 08:37
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.11113/mjfas.v21n5.3700
URI:	http://psasir.upm.edu.my/id/eprint/123164
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