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- W2136278311 startingPage "73" @default.
- W2136278311 abstract "Let L(s; ) be either logL(s; ) or L 0 =L(s; ), associated with an (abelian) L-function L(s; ) of a global eld K. For any quasi- character : C ! C of the additive group of complex numbers, con- sider the average Avgf =f of (L(s; )) over all Dirichlet characters on K with a given prime conductor f. This paper contains (i) study of the limit as N(f) ! 1 of this average, (ii) basic studies of the ana- lytic function ~ Ms(z1; z2) in 3 complex variables arising from (i) (here, (z1; z2) 2 C 2 is the natural parameter for ), and (iii) application to value-distribution theory for fL(s; )g . Our base eld K is either a function eld over a nite" @default.
- W2136278311 created "2016-06-24" @default.
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- W2136278311 date "2011-01-01" @default.
- W2136278311 modified "2023-10-13" @default.
- W2136278311 title "On log L and L'/L for L-Functions and the Associated “M-Functions”: Connections in Optimal Cases" @default.
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- W2136278311 doi "https://doi.org/10.17323/1609-4514-2011-11-1-73-111" @default.
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