Two Differential-Difference Equations Arising in Number Theory

DOI10.2307/2001317zbMath0697.10035OpenAlexW4238402971MaRDI QIDQ3474724

Ferell S. Wheeler

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001317

zbMATH Keywords

integral relationsDickman functionretarded differential-difference equation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05) Distribution of primes (11N05) Sieves (11N35)

Related Items

A family of multiple integrals connected with relatives of the Dickman function, On Approximations of Small Jumps of Subordinators with Particular Emphasis on a Dickman-Type Limit, A difference differential equation of Euler-Cauchy type, One-dimensional distributions of subordinators with upper truncated Lévy measure, and applications, On the sieve parameters \(\alpha_\kappa\) and \(\beta_\kappa\) for large \(\kappa\), Exact asymptotics of positive solutions to Dickman equation, Some properties of the Ankeny-Onishi function, Random multiplicative walks on the residues modulo n, A pair of difference differential equations of Euler-Cauchy type, Nicolaas Govert de Bruijn, the enchanter of friable integers, Composite positive integers whose sum of prime factors is prime, Euler’s constant: Euler’s work and modern developments, Some arithmetic properties of the sum of proper divisors and the sum of prime divisors, On a class of differential-difference equations arising in number theory, Integers without large prime factors

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