Chebyshev estimates for Beurling generalized prime numbers. I.
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Publication:448225
DOI10.1016/J.JNT.2012.04.019zbMath1266.11109arXiv1201.1405OpenAlexW2098490266MaRDI QIDQ448225
Publication date: 30 August 2012
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.1405
Other Dirichlet series and zeta functions (11M41) Distribution of primes (11N05) Generalized primes and integers (11N80)
Related Items (2)
Extensions of Beurling's prime number theorem ⋮ Density estimates for the zeros of the Beurling ζ function in the critical strip
Cites Work
- The role of Wiener's, Beurling's and Sobolev's algebras \(A\), \(A^\infty\) and \(H^1\) in the theory of Beurling's generalized prime numbers
- On Beurling's generalized prime numbers. Proof of a conjecture of Bateman and Diamond
- A set of generalized numbers showing Beurling's theorem to be sharp
- The prime number theorem for Beurling's generalized numbers. New cases
- Chebyshev Estimates for Beurling Generalized Prime Numbers
- Chebyshev Type Estimates for Beurling Generalized Prime Numbers
- Chebyshev Type Estimates for Beurling Generalized Prime Numbers. II
- Tauberian Theory
- Beurling Generalized Prime Number Systems in Which the Chebyshev Inequalities Fail
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