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On the joint universality of Lerch zeta functions

✍ Scribed by A. Laurinčikas

Book ID
110149803
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
589 KB
Volume
88
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES

Applications of inversion formulas to th
Applications of inversion formulas to the joint t-universality of Lerch zeta functions
✍ Takashi Nakamura 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 131 KB

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

The existence and the non-existence of j
The existence and the non-existence of joint t-universality for Lerch zeta functions
✍ Takashi Nakamura 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 191 KB

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