Power sums of digital sums
โ Scribed by Jean Coquet
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 492 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In two previous papers [Proc. Amer. Math. Soc. 117 (1993), 877-884], [J. Numher Theory 44 (1993), 214-221], a reciprocity relation for the power residue symbol of odd prime exponent, between Jacobi sums, was conjectured then proved. This is here extended to the case of an arbitrary exponent, as a co
Let p 3 be a prime number, b 2 a primitive root mod p and z an integer, 1 z p&1. The digit expansion of zรp with respect to the basis b has a period consisting of the first p&1 digits c 1 , ..., c p&1 . We express the variance \_ 2 of c 1 , ..., c p&1 in terms of the Dedekind sum s( p, b) and invest