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On the existence of universally convergent mechanisms

✍ Scribed by Venkatesh Bala; Nicholas M. Kiefer


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
981 KB
Volume
18
Category
Article
ISSN
0165-1889

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Let Forb(G) denote the class of graphs with countable vertex sets which do not contain G as a subgraph. If G is finite, 2-connected, but not complete, then Forb(G) has no element which contains every other element of Forb(G) as a subgraph, i.e., this class contains no universal graph.

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In this paper, we show the following theorems. Suppose 0 < a l < 1 are algebraically independent numbers and 0 < Ξ» l 1 for 1 l m. Then we have the joint t-universality for Lerch zeta functions L(Ξ» l , a l , s) for 1 l m. Next we generalize Lerch zeta functions, and obtain the joint t-universality fo