The joint universality and the functional independence for Lerch zeta-functions

By Antanas Laurinčikas, Kohji Matsumoto. Nagoya mathematical journal, 2000

75 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/606350c2621b5c9e9775d8b57499ea82e33ecb9c

How researchers see this paper

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In Algebra and Number Theory

1. Kohji Matsumoto
2. J. Steuding
3. Antanas Laurinčikas
4. J. Sander
5. H. Mishou
6. Łukasz Pańkowski

In Mathematical Physics

1. Kohji Matsumoto
2. Antanas Laurinčikas
3. J. Sander
4. J. Steuding
5. H. Mishou
6. Łukasz Pańkowski

Citations in the corpus

• The joint universality of twisted automorphic $L$-functions (2004, methodology): “A similar idea was applied to prove the joint universality of Lerch zeta-functions in [17].”
• Joint universality for sums and products of Dirichlet L-functions (2006, methodology): “For the more general Lerch zeta-function there exists a joint universality theorem due to Laurinčikas and Matsumoto [13]; however, their result deals with Lerch zeta-functions (where additional parameters are involved) and so it does not apply to Hurwitz zeta-functions.”
• A survey on the theory of universality for zeta and $L$-functions (2014, background): “The first attempt to this direction is a series of papers of Laurinčikas and the author [110] [114] [115] on the joint universality for Lerch zeta-functions.”