JOURNAL ARTICLE

Weighted double character sums with Beatty sequences.

  • Published In: International Journal of Number Theory, 2025, v. 21, n. 6. P. 1167 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Jing, Mengyao; Liu, Huaning 3 of 3

Abstract

Let α be an irrational number and let β be a real number. The corresponding Beatty sequence is defined as ℬ α , β = { ⌊ α n + β ⌋ : n ∈ ℕ } , where ⌊ y ⌋ is the largest integer not exceeding y. In this paper, we answer an open problem of Shparlinski. More specifically, bounds for weighted double character sums with Beatty sequences of the shape ∑ u ∈ ∑ v ∈ a u b v χ (⌊ α (u + v) + β ⌋) are obtained, where p is a prime, χ is a multiplicative character modulo p, N ≤ p is a positive integer, , ⊂ { 1 , 2 , ... , N } are subsets, a u (u ∈) and b v   (v ∈) are complex numbers. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Number Theory. 2025/07, Vol. 21, Issue 6, p1167
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:1793-0421
  • DOI:10.1142/S1793042125500617
  • Accession Number:185548007
  • Copyright Statement:Copyright of International Journal of Number Theory is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Looking to go deeper into this topic? Look for more articles on EBSCOhost.