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Transcendental values of the digamma function

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2007 English Publisher:Elsevier BVJournal:Journal of Number Theory, volume 125, pages 298-318 (issn: 0022-314X, Copyright policy )Funded by:NSERC | unidentified
Authors: Ram Murty, M.; Saradha, N.;

doi: 10.1016/j.jnt.2006.09.017

Transcendental values of the digamma function

Abstract

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Keywords

Algebra and Number Theory, Transcendence (general theory), Hurwitz and Lerch zeta functions, Hurwitz zeta function, Transcendence theory of other special functions, Euler's constant, Digamma function, digamma function, Gamma, beta and polygamma functions, Transcendence, transcendence, Linear forms in logarithms; Baker's method

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    selected citations
    These citations are derived from selected sources.
    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).
    		 45
    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
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!
45
Top 10%
Top 10%
Top 10%
hybrid