Product formula of the cubic Gauss sum modulo the product of the primes

Tsuyoshi Takagi

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2 Citations (Scopus)

Abstract

Let ω be a prime in the quadratic field Q(e2πi/3), and let G3(ω) be the cubic Gauss sum. Matthews [Invent. Math. 52 (1979), 163-185; 54 (1979), 23-52] determined the product formula of G3(ω) using Weierstrass' ℘ function. In this paper, we establish an analogous result for the cubic Gauss sum modulo the product of the primes.

Original languageEnglish
Pages (from-to)298-306
Number of pages9
JournalJournal of Number Theory
Volume62
Issue number2
DOIs
Publication statusPublished - Feb 1997

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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