On algebraic relations for Ramanujan's functions

DOI10.1007/s11139-012-9384-8zbMath1277.11079OpenAlexW2126626394MaRDI QIDQ1927672

Iekata Shiokawa, Carsten Elsner

Publication date: 2 January 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9384-8

zbMATH Keywords

resultantsalgebraic independenceNesterenko's theoremRamanujan functionsindependence criterion

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 (3)

Algebraic independence of values of quasi-modular forms ⋮ Some array polynomials over special monoid presentations ⋮ Algebraic independence results for values of theta-constants

Cites Work

• Unnamed Item
• Algebraic independence.
• Algebraic independence of certain numbers related to modular functions
• On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\)
• Quintic and septic Eisenstein series
• Elliptic functions and applications
• A remark on Nesterenko's theorem for Ramanujan functions
• Algebraic independence results for reciprocal sums of Fibonacci numbers
• Modular functions and transcendence questions
• Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt

This page was built for publication: On algebraic relations for Ramanujan's functions