Der Überlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen

DOI10.1007/BF01455911zbMath0559.14023OpenAlexW243669622MaRDI QIDQ802622

Wolfart, Jürgen, Gisbert Wüstholz

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164035

zbMATH Keywords

covering radiusabelian varieties with complex multiplicationJacobian of the Fermat curveslinear independence of values of the Beta-functionperiods of first and second kind

Mathematics Subject Classification ID

Rational points (14G05) Jacobians, Prym varieties (14H40) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Coverings of curves, fundamental group (14H30) Complex multiplication and abelian varieties (14K22) Transcendence (general theory) (11J81)

Related Items

Values of hypergeometric functions, Fonctions hypergéométriques en plusieurs variables et espaces des modules de variétés abéliennes, Length spectra of the Hecke triangle groups, Values of a function of Picard at algebraic points, Exceptional sets of hypergeometric series., Modular embeddings of Teichmüller curves, Zariski-density of exceptional sets for hypergeometric functions, Values of the beta function: from Ramanujan's continued fraction to Hermite-Padé approximants, The discriminant 10 Shimura curve and its associated Heun functions, Special values of Drinfeld modular forms and algebraic independence, Minimal extensions of algebraic groups and linear independence, On elliptic modular foliations, Hadamard products of algebraic functions, On the arithmetic of the hyperelliptic curve y 2 = x n + a, Elliptic Functions and Transcendence, Quaternionic modular forms and exceptional sets of hypergeometric functions

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