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On the Lattice-Points on Curves of Genus

โœ Scribed by Mahler, K.


Book ID
120103359
Publisher
Oxford University Press
Year
1936
Tongue
English
Weight
24 KB
Volume
s2-40
Category
Article
ISSN
0024-6115

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Let K be an algebraic function field in one variable over an algebraically closed field of positive characteristic p. We give an explicit upper bound for the number of rational points of genus-changing curves over K defined by y p =r(x) and show that every genus-changing curve of absolute genus 0 ha