On algebraic functions integrable in finite terms

DOI10.1007/s10688-015-0082-3zbMath1327.30047OpenAlexW2028967764MaRDI QIDQ498350

A. G. Khovanskii

Publication date: 28 September 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-015-0082-3

zbMATH Keywords

Riemann surfaceselementary functionmeromorphic differentialalgebraic function

Mathematics Subject Classification ID

Differentials on Riemann surfaces (30F30) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (2)

Comments on J.F. Ritt’s Book Integration in Finite Terms ⋮ Families of sections of quadrics and classical geometries

Cites Work

• Real normalized differentials and Arbarello's conjecture
• Formal solutions of differential equations
• On the integration of algebraic functions
• Real-Normalized Differentials and the Elliptic Calogero-Moser System
• The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces
• Topological Galois Theory

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