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

Tsuyoshi Takagi

doi:10.1006/jnth.1997.2064

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

Tsuyoshi Takagi

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Let ω be a prime in the quadratic field Q(e^2πi/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 language	English
Pages (from-to)	298-306
Number of pages	9
Journal	Journal of Number Theory
Volume	62
Issue number	2
DOIs	https://doi.org/10.1006/jnth.1997.2064
Publication status	Published - Feb 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1006/jnth.1997.2064

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

Abstract

All Science Journal Classification (ASJC) codes

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