Representations of analytic functions as infinite products and their application to numerical computations

DOI10.1007/s11139-013-9546-3zbMath1317.30055arXiv1202.1335OpenAlexW2593997777MaRDI QIDQ457032

Bogdan V. Petrenko, Marcin Mazur

Publication date: 26 September 2014

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

Full work available at URL: https://arxiv.org/abs/1202.1335

zbMATH Keywords

Euler productinfinite productsapproximating constantscongruences for traces

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Approximation in the complex plane (30E10) Congruences; primitive roots; residue systems (11A07) Evaluation of number-theoretic constants (11Y60) Matrices, determinants in number theory (11C20) Convergence and divergence of infinite products (40A20) Function theory on the disc (30J99)

Related Items (1)

Cyclotomic coefficients: gaps and jumps

Cites Work

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• Generalizations of Arnold's version of Euler's theorem for matrices
• On congruences for the traces of powers of some matrices
• On the matricial version of Fermat-Euler congruences
• On some number-theoretic conjectures of V. Arnold
• Approximation of singular series and automata
• The product over all primes is \(4\pi^{2}\)
• On matrix analogs of Fermat's little theorem
• On the analytic continuation of Eulerian products
• The matrix Euler-Fermat theorem

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