Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves
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DOI: 10.1080/10586458.2021.1926014
Abstract: In this article, we study the Mahler measures of more than 500 families of reciprocal polynomials defining genus 2 and genus 3 curves. We numerically find relations between the Mahler measures of t... read more here.
Keywords: genus curves; measure families; genus; defining genus ... See more keywords
Rational Points over Finite Fields on a Family of Higher Genus Curves and Hypergeometric Functions
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DOI: 10.11650/tjm.21.2017.7724
Abstract: In this paper we investigate the relation between the number of rational points over a finite field $\mathbb{F}_{p^n}$ on a family of higher genus curves and their periods in terms of hypergeometric functions. For the… read more here.
Keywords: hypergeometric functions; genus curves; points finite; family higher ... See more keywords