On zeros of the derivative of the modified Selberg zeta function for the modular group (Q2871061)
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scientific article; zbMATH DE number 6248801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On zeros of the derivative of the modified Selberg zeta function for the modular group |
scientific article; zbMATH DE number 6248801 |
Statements
21 January 2014
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Selberg zeta function
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distribution of zeros
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\(\mathrm{PSL}(2, \mathbb Z)\)
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modular group
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On zeros of the derivative of the modified Selberg zeta function for the modular group (English)
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The paper under review study some asymptotic formulas for the number of zeros of the derivative of Selberg zeta functions for the modular group. The author defines the so-called ``the modified Selberg zeta function'' in order to remove the zeros arising from non-trivial zeros of the Riemann zeta function which are not the concern of this paper. Then the author gives an asymptotic formula for the vertical number of zeros of the derivative of the modified zeta function, as well as the horizontal distribution of zeros.
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