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- W3100859573 abstract "We study Ruelle's type zeta and L-functions for a torsion free abelian group Γ of rank ν ≥ 2 defined via an Euler product. It is shown that the imaginary axis is a natural boundary of this zeta function when ν = 2, 4 and 8, and in particular, such a zeta function has no determinant expression. Thus, conversely, expressions like Euler's product for the determinant of the Laplacians of the torus ℝ ν /Γ defined via zeta regularizations are investigated. Also, the limit behavior of an arithmetic function arising from the Ruelle type zeta function is observed." @default.
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- W3100859573 date "2008-09-01" @default.
- W3100859573 modified "2023-09-23" @default.
- W3100859573 title "RUELLE TYPE L-FUNCTIONS VERSUS DETERMINANTS OF LAPLACIANS FOR TORSION FREE ABELIAN GROUPS" @default.
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- W3100859573 doi "https://doi.org/10.1142/s0129167x08004959" @default.
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