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The Trigonometry of Harnack Curves

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Publication:5853005
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DOI10.17516/1997-1397-2016-9-3-347-352OpenAlexW2526923692MaRDI QIDQ5853005

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Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu493


zbMATH Keywords

Newton polygonHarnack curvesRonkin functionlaw of cosinesamoeba of polynomialcoamoeba of polynomial


Mathematics Subject Classification ID

Functions of a complex variable (30-XX) Number theory (11-XX)


Related Items (3)

Elliptic dimers on minimal graphs and genus 1 Harnack curves ⋮ A survey on computational aspects of polynomial amoebas ⋮ Minimal bipartite dimers and higher genus Harnack curves



Cites Work

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  • Planar dimers and Harnack curves
  • Amoebas, Monge-Ampère measures, and triangulations of the Newton polytope
  • Mellin transforms of multivariate rational functions
  • Real algebraic curves, the moment map and amoebas
  • Laurent determinants and arrangements of hyperplane amoebas
  • How to Compute Σ1/n2 by Solving Triangles


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