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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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G2 Examples: Construction in Odd Characteristic

G2 Examples: Construction in Odd Characteristic

(p.163) Chapter 27 G2 Examples: Construction in Odd Characteristic
Convolution and Equidistribution

Nicholas M. Katz

Princeton University Press

This chapter treats the case of the odd characteristic. The situation in odd characteristic is complicated by the quadratic character χ‎₂: the ! hypergeometric sheaf of type (7, 1), though lisse on 𝔾ₘ is not pure of weight zero, nor is its Ggeom the group G₂.

Keywords:   number theory, odd characteristic, lisse, hypergeometric sheaf

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