H. Mueller, Uber die meromorphe Fortsetzung einer Klasse verallgemeinter Zetafunktionen, Arch. Math., 58 (1992), 265-275. Home/Search Document Not in Database Summary Related Articles Check |
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On Transfer Operators for Continued Fractions with.. - Jenkinson, Gonzalez.. (2001) (Correct)
....simple poles at s = 1 a k, k 2 Z 0 . In the case p = 1 all these poles except for k = 0 are cancelled by zeros) The result follows by Theorem 4. iv) I (s) has a meromorphic extension to all of C , with a simple pole at s = 1=d, and possible further simple poles at s = k=d for k 2 Z 0 [37]. By the above claim, the same is true of I (s; z) and the result then follows by Theorem 4. v) Now I (s) P 1 m=1 a ms = 1 1 a s ; which extends meromorphically to C with simple poles at s = 2 i loga m for m 2 Z. The above claim implies that (s; z) has a meromorphic continuation ....
H. Mueller, Uber die meromorphe Fortsetzung einer Klasse verallgemeinter Zetafunktionen, Arch. Math., 58 (1992), 265-275.
On Transfer Operators for Continued Fractions with.. - Jenkinson, Gonzalez.. (2002) (Correct)
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H. Mueller, Uber die meromorphe Fortsetzung einer Klasse verallgemeinter Zetafunktionen, Arch. Math., 58 (1992), 265-275.
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