Toric quiver asymptotics and Mahler measure: $$ \mathcal{N}=2 $$ BPS states
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DOI: 10.1007/jhep07(2019)121
Abstract: Abstract The BPS sector in $$ \mathcal{N}=2 $$ N = 2 , four-dimensional toric quiver gauge theories has previously been studied using the crystal melting model and dimer model. We introduce the Mahler measure associated… read more here.
Keywords: mahler measure; toric quiver; bps states;
ON AN INTEGRAL OF $\boldsymbol {J}$ -BESSEL FUNCTIONS AND ITS APPLICATION TO MAHLER MEASURE
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DOI: 10.1017/s0004972721000484
Abstract: Abstract Cogdell et al. [‘Evaluating the Mahler measure of linear forms via Kronecker limit formulas on complex projective space’, Trans. Amer. Math. Soc. (2021), to appear] developed infinite series representations for the logarithmic Mahler measure… read more here.
Keywords: integral boldsymbol; measure; mahler measure; boldsymbol bessel ... See more keywords
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