Algebraic results for certain values of the Jacobi theta-constant $\theta_3(\tau)$

DOI10.7146/math.scand.a-105465zbMath1440.11136OpenAlexW2891423093MaRDI QIDQ4622677

Yohei Tachiya, Carsten Elsner

Publication date: 13 February 2019

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-105465

zbMATH Keywords

algebraic independenceJacobi theta-constant

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Theta series; Weil representation; theta correspondences (11F27)

Related Items

Linear independence of certain numbers

Cites Work

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• Algebraic independence.
• Theta functions and transcendence
• Transcendence of Jacobi's theta series
• Elliptic functions and applications
• Algebraic independence results for values of theta-constants
• Algebraic independence results for reciprocal sums of Fibonacci numbers
• Modular functions and transcendence questions