Arithmetical sequences and systems of functional equations

DOI10.1007/BF02215966zbMath0881.39021MaRDI QIDQ675210

Lutz G. Lucht

Publication date: 6 March 1997

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137678

zbMATH Keywords

Dirichlet seriessystems of functional equationsholomorphic solutionsDirichlet convolutionaperiodic continuous solutionsarithmetical sequencesFourier-Lebesgue expansionperiodic integrable solutionstemperate sequences

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

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• Continuous replicative functions
• An application of Banach algebra techniques to multiplicative functions
• The gamma function as continuous solution of a system of Gauss functional equations
• Note on Absolutely Convergent Dirichlet Series
• Trigonometrische Reihen Über Multiplikativen Zahlenmengen. II

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