On certain generating functions in positive characteristic View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-05

AUTHORS

F. Pellarin, R. B. Perkins

ABSTRACT

We present new methods for the study of a class of generating functions introduced by the second author which carry some formal similarities with the Hurwitz zeta function. We prove functional identities which establish an explicit connection with certain deformations of the Carlitz logarithm introduced by M. Papanikolas and involve the Anderson-Thakur function and the Carlitz exponential function. They collect certain functional identities in families for a new class of L-functions introduced by the first author. This paper also deals with specializations at roots of unity of these generating functions, producing a link with Gauss-Thakur sums. More... »

PAGES

123-144

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00605-016-0880-6

DOI

http://dx.doi.org/10.1007/s00605-016-0880-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1018596240


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