Cyclotomic Numbers and Jacobi Sums: A Survey

Md. Helal Ahmed () and Jagmohan Tanti ()
Additional contact information
Md. Helal Ahmed: Central University of Jharkhand, Department of Mathematics
Jagmohan Tanti: Central University of Jharkhand, Department of Mathematics

A chapter in Class Groups of Number Fields and Related Topics, 2020, pp 119-140 from Springer

Abstract: Abstract The determination of Jacobi sums, their congruences and cyclotomic numbers have been the object of attention for many years and thus there are large number of interesting results. This survey aims at reviewing results concerning the Diophantine systems for finding the cyclotomic numbers and coefficients of Jacobi sums and to indicate the current status of the problem.

Keywords: Jacobi sums; Cyclotomic numbers; Finte fields; Diophantine systems; Congruences; Quadratic partition; Character; Cyclotomic polynomial; Primary: 11T24; Secondary: 11T22 (search for similar items in EconPapers)
Date: 2020
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:sprchp:978-981-15-1514-9_12

Ordering information: This item can be ordered from
http://www.springer.com/9789811515149

DOI: 10.1007/978-981-15-1514-9_12

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().