The prime number theorem for Beurling's generalized numbers. New cases
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Publication:2880462
DOI10.4064/AA153-3-5zbMath1300.11099OpenAlexW2039512837MaRDI QIDQ2880462
Jasson Vindas, Jan-Christoph Schlage-Puchta
Publication date: 13 April 2012
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1854/LU-3023509
Operations with distributions and generalized functions (46F10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Distribution of primes (11N05) Tauberian theorems (40E05) Generalized primes and integers (11N80) Tauberian theorems (11M45)
Related Items (8)
On PNT equivalences for Beurling numbers ⋮ Density estimates for the zeros of the Beurling ζ function in the critical strip ⋮ On General Prime Number Theorems with Remainder ⋮ Chebyshev estimates for Beurling generalized prime numbers. I. ⋮ On Diamond's \(L^1\) criterion for asymptotic density of Beurling generalized integers ⋮ Some examples in the theory of Beurling’s generalized prime numbers ⋮ Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior ⋮ A proof of a conjecture of Bateman and Diamond on Beurling generalized primes
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