Higher dimensional adeles, mean-periodicity and zeta functions of arithmetic surfaces

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Higher dimensional adeles, mean-periodicity and zeta functions of arithmetic surfaces

This thesis is concerned with the analytic properties of arithmetic zeta functions, which remain largely conjectural at the time of writing. We will focus primarily on the most basic amongst them - meromorphic continuation and functional equation. Our weapon of choice is the so-called “mean-periodic...

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Bibliographic Details
Main Author:	Oliver, Thomas David
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2014
Subjects:	Number Theory arithmetic geometry Zeta Functions L-Functions arithmetic surfaces adeles automorphic representations mean-periodicity. Hasse > Weil conjecture.
Online Access:	https://eprints.nottingham.ac.uk/14518/

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