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Convolution and EquidistributionSato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)$
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Nicholas M. Katz

Print publication date: 2012

Print ISBN-13: 9780691153308

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691153308.001.0001

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Results of Goursat-Kolchin-Ribet Type

Results of Goursat-Kolchin-Ribet Type

(p.63) Chapter 13 Results of Goursat-Kolchin-Ribet Type
Convolution and Equidistribution

Nicholas M. Katz

Princeton University Press

This chapter takes up the proofs of Theorems 13.1–13.5. Suppose we are given some number r ≤ 2 of objects N₁; N₂, Nᵣ in Garith of some common “dimension” d ≤ 1. Suppose they are all ι‎-pure of weight zero, geometrically irreducible, and arithmetically self-dual, all with the same sign of duality.

Keywords:   number theory, Goursat–Kolchin–Ribet theorem, duality

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