On a class of differential-difference equations arising in number theory

DOI10.1007/BF02788841zbMath0797.11072MaRDI QIDQ1317279

Gérald Tenenbaum, Adolf Hildebrand

Publication date: 20 October 1994

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

asymptotic behavioradjoint equationdifferential-difference equation

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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• Differential-difference equations
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• Two Differential-Difference Equations Arising in Number Theory
• A Differential Delay Equation Arising from the Sieve of Eratosthenes
• The Convolution Powers of the Dickman Function
• NOTES ON FUNCTIONS CONNECTED WITH THE SIEVE
• The Asymptotic Behavior of the Solutions of a Class of Differential-Difference Equations
• Rosser's sieve
• Oscillation Theorems for Primes in Arithmetic Progressions and for Sifting Functions
• The general sieve
• An improvement of Selberg's sieve method I
• Primes in short intervals

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