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arXiv.org e-Print Archive
Preprint . 2013
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2013
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Zeta Functions on Arithmetic Surfaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2013Embargo end date: 01 Jan 2013Publisher:arXiv
Authors: Oliver, Thomas;

doi: 10.48550/arxiv.1311.6964

arXiv: http://arxiv.org/abs/1311.6964

Zeta Functions on Arithmetic Surfaces

Abstract

We use a form of lifted harmonic analysis to develop a two-dimensional adelic integral representation of the zeta functions of simple arithmetic surfaces. Manipulations of this integral then lead to an adelic interpretation of the so-called mean-periodicity correspondence, which is comparable to the better known automorphicity conjectures for the generic fibre.

28 pages. Numerous corrections from previous versions, and greater emphasis on exposition

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

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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!
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