The triplication formula for Gauss sums
โ Scribed by John Greene; Dennis Stanton
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 326 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let | be a prime in the quadratic field Q(e 2?iร3 ), and let G 3 (|) be the cubic Gauss sum. Matthews [Invent. Math. 52 (1979), 163 185; 54 (1979), 23 52] determined the product formula of G 3 (|) using Weierstrass' ^function. In this paper, we establish an analogous result for the cubic Gauss sum m
We obtain complete asymptotic expansions for certain binomial sums, including the Ape ry numbers. In general, binomial sums cannot be expressed by closed formulae, but they do satisfy polynomial recurrence relations. We use the asymptotic expansion of a binomial sum to calculate a lower bound for th