INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS

DOI10.1017/S0004972715000039zbMath1320.11087OpenAlexW2064769316MaRDI QIDQ5253342

Ha Nam Nguyen, William Duke

Publication date: 5 June 2015

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

Full work available at URL: https://doi.org/10.1017/s0004972715000039

zbMATH Keywords

cyclotomic polynomialsinfinite productsnatural boundaryMahler functionsStern diatomic sequence

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41) Dirichlet series, exponential series and other series in one complex variable (30B50) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (5)

On some arithmetic properties of Mahler functions ⋮ Maclaurin's type infinite products involving certain transcendental functions ⋮ Infinite products involving Dirichlet characters and cyclotomic polynomials ⋮ DEGREE-ONE MAHLER FUNCTIONS: ASYMPTOTICS, APPLICATIONS AND SPECULATIONS ⋮ ARITHMETIC PROPERTIES OF INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS

Cites Work

• (Non)Automaticity of number theoretic functions
• A summation formula related to the binary digits
• Asymptotics of Mahler recurrences: The cyclotomic case
• Automatic Dirichlet series
• Newman's phenomenon for generalized Thue-Morse sequences
• Algebraic Independence of Infinite Products and Their Derivatives
• Values of cyclotomic polynomials at roots of unity.
• THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE
• On a Special Functional Equation

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