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Extended bounds of beatty sequence associated with primes


Citation

Deraman, Fatanah and Sapar, Siti Hasana and Mohamat Johari, Mohamat Aidil and Mohd Atan, K. A. and Rasedee, A. F. N. (2019) Extended bounds of beatty sequence associated with primes. International Journal of Engineering and Advanced Technology, 8 (6 spec. 3). pp. 115-118. ISSN 2249-8958

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.35940/ijeat.F1019.0986S319
Publisher: Blue Eyes Intelligence Engineering & Sciences Publication
Keywords: Beatty sequences; Character sum; Composite moduli; Discrepancy
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 14 Nov 2022 01:44
Last Modified: 14 Nov 2022 01:44
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.35940/ijeat.F1019.0986S319
URI: http://psasir.upm.edu.my/id/eprint/79829
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