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The universality for linear combinations of Lerch zeta functions and the Tornheim–Hurwitz type of double zeta functions

✍ Scribed by Takashi Nakamura

Publisher
Springer Vienna
Year
2009
Tongue
English
Weight
193 KB
Volume
162
Category
Article
ISSN
0026-9255

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The existence and the non-existence of j
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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

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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