The universality of the Lerch zeta-function
✍ Scribed by Antanas Laurinčikas
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 286 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0363-1672
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📜 SIMILAR VOLUMES
In this paper, we define λ-joint, a -joint, (λ, λ)-joint, (λ, a )-joint and (a , a )-joint t-universality of Lerch zeta functions and consider the relations among those. Next we show the existence of (λ, λ)joint t-universality. Finally, we also show the existence of λ-joint, a -joint, (λ, a )-joint
In this paper, we show the following theorems. Suppose 0 < a l < 1 are algebraically independent numbers and 0 < λ l 1 for 1 l m. Then we have the joint t-universality for Lerch zeta functions L(λ l , a l , s) for 1 l m. Next we generalize Lerch zeta functions, and obtain the joint t-universality fo