On the function Z(t) associated with the Riemann zeta-function
โ Scribed by Robert J Anderson
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 629 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We evaluate the sums of certain classes of series involving the Riemann zeta function by using the theory of the double gamma function, which has recently been revived in the study of determinants of Laplacians. Relevant connections with various known results are also pointed out.
Let q be a power of a prime p. We prove an assertion of Carlitz which takes q as a parameter. Diaz-Vargas' proof of the Riemann Hypothesis for the Goss zeta function for F p [T] depends on his verification of Carlitz's assertion for the specific case q= p [D-V]. Our proof of the general case allows