On cubic residues and related problems

Xiaodan Yuan () and Wenpeng Zhang ()
Additional contact information
Xiaodan Yuan: Northwest University
Wenpeng Zhang: Northwest University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 806-815

Abstract: Abstract In this paper, we use elementary methods to transform sums involving cubic residues into expressions involving Gauss sums. Following this, we use properties of third-order characters and the product formula for the classical Gauss sums to study problems on the computation of cubic residues on some special integer sets. We give some exact formulae for the corresponding counting functions.

Keywords: Cubic residues; Third-order character; Gauss sums; Product formula; Calculation formula (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-022-00299-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:54:y:2023:i:3:d:10.1007_s13226-022-00299-6

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-022-00299-6

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().