Bull. Korean Math. Soc. 2004; 41(3): 451-456
Printed September 1, 2004
Copyright © The Korean Mathematical Society.
Hi-joon Chae
Hongik University
Given a function on a scheme over a finite field, we can count the number of rational points of the scheme having the same values. We show that if the function, viewed as a morphism to the affine line, is proper and its higher direct image sheaves are tamely ramified at the infinity then the values are uniformly distributed up to some degree.
Keywords: distribution, values of functions, finite fields
MSC numbers: 11T23, 11G25, 14G15
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