Algebraic Independence of Infinite Products and Their Derivatives

DOI10.1007/978-1-4614-6642-0_6zbMath1325.11070OpenAlexW2266857960MaRDI QIDQ2840795

Peter Bundschuh

Publication date: 23 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-6642-0_6

zbMATH Keywords

hypertranscendencetranscendence and algebraic independenceMahler-type functional equationsMahler's mehod

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

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Number Theoretic Aspects of Regular Sequences ⋮ Note on the Stern-Brocot sequence, some relatives, and their generating power series ⋮ DEGREE-ONE MAHLER FUNCTIONS: ASYMPTOTICS, APPLICATIONS AND SPECULATIONS ⋮ ARITHMETIC PROPERTIES OF INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS ⋮ INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS

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