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Article . 1978
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Mathematical Notes
Article . 1978 . Peer-reviewed
License: Springer TDM
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A formula for the Chebyshev PSI function

A formula for the Chebyshev psi function
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1978 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 23, pages 271-274 (issn: 0001-4346, eissn: 1573-8876, Copyright policy )
Authors: Venkov, Alexei;

doi: 10.1007/bf01786954

A formula for the Chebyshev PSI function

Abstract

A formula expressing the Chebyshevψ function in terms of the characteristic values of the Laplace-Beltrami operator on the fundamental domain of a modular group and the hyperbolic classes of conjugate elements of this group is derived.

Related Organizations
Keywords

Modular and automorphic functions, Laplace-Beltrami Operator, Distribution of primes, Discontinuous groups and automorphic forms, Selberg Trace Formula, Modular Group, Psl (2, Z), Chebyshev Psi Function

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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