Heron triangles with two rational medians and Somos-5 sequences
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Publication:2095618
DOI10.1007/s40879-022-00586-wOpenAlexW3179842748MaRDI QIDQ2095618
Publication date: 17 November 2022
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.03197
Quadratic and bilinear Diophantine equations (11D09) Cubic and quartic Diophantine equations (11D25) Elliptic functions and integrals (33E05) Integrable difference and lattice equations; integrability tests (39A36)
Uses Software
Cites Work
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- Laurent phenomenon algebras
- Discrete integrable systems and Poisson algebras from cluster maps
- Elliptic curves coming from Heron triangles
- Cluster mutation-periodic quivers and associated Laurent sequences
- The Laurent phenomenon
- Integrable symplectic maps
- An elliptic \(K3\) surface associated to Heron triangles
- Heron triangles with two fixed sides
- Magic determinants of Somos sequences and theta functions
- Completely integrable symplectic mapping
- Dimer models and integrable systems
- Integrable mappings and soliton equations
- Integrable mappings and soliton equations. II
- Heron triangles with three rational medians
- On reductions of the Hirota-Miwa equation
- Cluster Toda chains and Nekrasov functions
- Positivity for cluster algebras
- Heron triangles via elliptic curves
- Cluster algebras I: Foundations
- Irreducibility and co-primeness as an integrability criterion for discrete equations
- Valuations of Somos 4 sequences and canonical local heights on elliptic curves
- Canonical bases for cluster algebras
- Discrete Painlevé II equation over finite fields
- Somos-4 and Somos-5 are arithmetic divisibility sequences
- PERFECT TRIANGLES ON THE CURVE
- An algebraic geometric approach to integrable maps of the plane
- Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
- Integrable maps
- Periodicity of Somos Sequences
- Heron triangles and elliptic curves
- An Infinite Set of Heron Triangles with Two Rational Medians
- Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties
- Integrable mappings via rational elliptic surfaces
- Modular forms, Schwarzian conditions, and symmetries of differential equations in physics
- Sigma function solution of the initial value problem for Somos 5 sequences
- Dimers and cluster integrable systems
- RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
- Memoir on Elliptic Divisibility Sequences
- Unsolved problems in number theory
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