ARITHMETIC PROPERTIES OF INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS

DOI10.1017/S0004972715001550zbMath1341.11042OpenAlexW2345209538MaRDI QIDQ2814336

Peter Bundschuh, Keijo Väänänen

Publication date: 21 June 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001550

zbMATH Keywords

cyclotomic polynomialsinfinite productsalgebraic independenceMahler's methodhypertranscendence

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Diophantine inequalities (11J25) Transcendence (general theory) (11J81) Differential algebra (12H05) Schmidt Subspace Theorem and applications (11J87)

Related Items (2)

Algebraic independence of certain Mahler functions ⋮ DEGREE-ONE MAHLER FUNCTIONS: ASYMPTOTICS, APPLICATIONS AND SPECULATIONS

Cites Work

• Unnamed Item
• On the algebraic independence of holomorphic solutions of certain functional equations and their values
• Mahler functions and transcendence
• Algebraic independence of the generating functions of Stern's sequence and of its twist
• Algebraic Independence of Infinite Products and Their Derivatives
• Indépendance algébrique et K-fonctions
• INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS

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