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math.NT2013★ 2 cited
Zeta Functions on Arithmetic Surfaces
Thomas Oliver
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 int…
math.NT2013★ 2 cited
Automorphicity and Mean-Periodicity
Thomas Oliver
If C is a smooth projective curve over a number field k, then, under fair hypotheses, its L-function admits meromorphic continuation and satisfies the anticipated functional equati…