Character Sums Associated with Non-homogeneous Beatty Sequences for Quadratic Common Difference
DOI:
https://doi.org/10.11113/mjfas.v21n5.3700Keywords:
Beatty sequence, Estimation of character sums, Cardinality, Multiplicative group, DiscrepancyAbstract
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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Copyright (c) 2025 Chee Wai Low, S. H. Sapar, F. Deraman, M. A. M. Johari, F. Yunos
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