Work

Some mixed character sum identities of Katz II

Year: 2017

Type: article

Abstract: A conjecture connected with quantum physics led N. Katz to discover some amazing mixed character sum identities over a field of q elements, where q is a power of a prime $$p >3$$ . His proof required deep algebro-geometric techniques, and he expressed interest in finding a more straightforward direct proof. The first author recently gave such a proof of his identities when $$q \equiv 1 \pmod 4$$ , and this paper provides such a proof for the remaining case $$q \equiv 3 \pmod 4$$ . Our proofs are valid for all characteristics $$p>2$$ . Along the way we prove some elegant new character sum identities.

Source: Research in Number Theory

DOI: 10.1007/s40993-016-0071-5

Authors: Ron Evans, John Greene

Institutions: University of California San Diego, University of Minnesota, Duluth

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

OpenAlex ID: W2964021237