Root numbers of Jacobi-sum Hecke characters

1992/03/01 by David E. Rohrlich · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Graph theory and applications

paper · pdf · doi:10.1215/ijm/1255987613

crossref issued 1992/03/01 · crossref published 1992/03/01 · crossref published-print 1992/03/01 · openalex publication_date 1992/03/01 · crossref created 2019/02/28 · crossref deposited 2024/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/21 · crossref indexed 2026/07/29

Abstract

Let p be an odd prime and n a positive integer, and let K be the cyclotomic field of p-th roots of unity. Let a, b, and c be nonzero integers satisfying a + b + c 0. We assume that none of the integers a, b, and c is divisible by pn and that at most one of them is divisible by p. The unitary Jacobi-sum Hecke character X associated to these data is defined as follows.

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