𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Applications of inversion formulas to the joint t-universality of Lerch zeta functions

✍ Scribed by Takashi Nakamura

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
131 KB
Volume
123
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we define Ξ»-joint, a -joint, (Ξ», Ξ»)-joint, (Ξ», a )-joint and (a , a )-joint t-universality of Lerch zeta functions and consider the relations among those. Next we show the existence of (Ξ», Ξ»)joint t-universality. Finally, we also show the existence of Ξ»-joint, a -joint, (Ξ», a )-joint and (a , a )-joint t-universality by using inversion formulas.

πŸ“œ SIMILAR VOLUMES

The existence and the non-existence of j
The existence and the non-existence of joint t-universality for Lerch zeta functions
✍ Takashi Nakamura πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 191 KB

In this paper, we show the following theorems. Suppose 0 < a l < 1 are algebraically independent numbers and 0 < Ξ» l 1 for 1 l m. Then we have the joint t-universality for Lerch zeta functions L(Ξ» l , a l , s) for 1 l m. Next we generalize Lerch zeta functions, and obtain the joint t-universality fo