Algebraic and abelian solutions to the projective translation equation
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Publication:304017
DOI10.1007/s00010-016-0410-6zbMath1348.14075arXiv1506.08028OpenAlexW3104232365MaRDI QIDQ304017
Publication date: 23 August 2016
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.08028
abelian functions, algebraic functionsiterable functionsprojective flowrational vector fieldstranslation equation
Linear first-order PDEs (35F05) Iteration theory, iterative and composite equations (39B12) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) General theory of functional equations and inequalities (39B05) Flows on surfaces (37E35) Algebraic functions and function fields in algebraic geometry (14H05)
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The projective translation equation and rational plane flows. II: Corrections and additions, Beltrami vector fields with an icosahedral symmetry, Planar 2-homogeneous commutative rational vector fields
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Cites Work
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- Multi-variable translation equation which arises from homothety
- Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman
- Flows on 2-dimensional manifolds. An overview
- Analytic urns
- General theory of the translation equation
- Pseudo-factorials, elliptic functions, and continued fractions
- The projective translation equation and unramified 2-dimensional flows with rational vector fields
- The projective translation equation and rational plane flows. I
- The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion
- DARBOUX EVALUATIONS OF ALGEBRAIC GAUSS HYPERGEOMETRIC FUNCTIONS
- Hypergeometric Functions, How Special Are They?
- THE TRANSLATION EQUATION AND ITS APPLICATION