The existence and the non-existence of joint t-universality for Lerch zeta functions |
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Authors: | Takashi Nakamura |
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Institution: | Graduate School of Mathematics Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan |
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Abstract: | In this paper, we show the following theorems. Suppose 0<al<1 are algebraically independent numbers and 0<λl?1 for 1?l?m. Then we have the joint t-universality for Lerch zeta functions L(λl,al,s) for 1?l?m. Next we generalize Lerch zeta functions, and obtain the joint t-universality for them. In addition, we show examples of the non-existence of the joint t-universality for Lerch zeta functions and generalized Lerch zeta functions. |
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Keywords: | primary 11M35 |
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