A pair of difference differential equations of Euler-Cauchy type
From MaRDI portal
Publication:4425454
DOI10.1090/S0002-9947-03-03223-9zbMath1042.34097arXivmath/0310077MaRDI QIDQ4425454
Publication date: 10 September 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0310077
integral transformssievesdifference differential equationsDickman-de Bruijn functionadjoint relation
Asymptotic theory of functional-differential equations (34K25) Linear functional-differential equations (34K06) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The sum of \(\alpha^{\Omega(n)}\) over integers n\(\leq x\) with all prime factors between \(\alpha\) and y
- On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
- On difference-differential equations in the theory of sieves
- Combinatorial sieves of dimension exceeding one
- The cycle structure of random permutations
- Analysis of a simple factorization algorithm
- A boundary value problem for a pair of differential delay equations related to sieve theory. II
- On a class of differential-difference equations arising in number theory
- A boundary value problem for a pair of differential delay equations related to sieve theory. III
- A difference differential equation of Euler-Cauchy type
- Ordered cycle lengths in a random permutation
- On the distribution of large prime divisors
- An Erdös-Kac theorem for integers without large prime factors
- ESTIMATION OF THE SIEVE AUXILIARY FUNCTIONS qk IN THE RANGE 1 < k < 2
- Two Differential-Difference Equations Arising in Number Theory
- A Differential Delay Equation Arising from the Sieve of Eratosthenes
- The Asymptotic Behavior of the Solutions of a Class of Differential-Difference Equations
- Rosser's sieve
- The general sieve
- Ordered Cycle Lengths in a Random Permutation
- Cycle Length in a Random Function
- APPLICATION OF SOME INTEGRAL EQUATIONS TO PROBLEMS OF NUMBER THEORY
- Primes in short intervals
This page was built for publication: A pair of difference differential equations of Euler-Cauchy type