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
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Publication:1266229
DOI10.5802/AIF.1632zbMath0905.11043OpenAlexW2332873143MaRDI QIDQ1266229
Publication date: 14 September 1998
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_3_611_0
Related Items (8)
On PNT equivalences for Beurling numbers ⋮ Extensions of Beurling's prime number theorem ⋮ Wiener-Ikehara theorems and the Beurling generalized primes ⋮ Density estimates for the zeros of the Beurling ζ function in the critical strip ⋮ Chebyshev estimates for Beurling generalized prime numbers. I. ⋮ Modified zeta functions as kernels of integral operators ⋮ On Diamond's \(L^1\) criterion for asymptotic density of Beurling generalized integers ⋮ A proof of a conjecture of Bateman and Diamond on Beurling generalized primes
Cites Work
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- On Beurling's generalized prime numbers. Proof of a conjecture of Bateman and Diamond
- Construction and analysis of some convolution algebras
- The prime number theorem for Beurling's generalized numbers
- A set of generalized numbers showing Beurling's theorem to be sharp
- Chebyshev Estimates for Beurling Generalized Prime Numbers
- Chebyshev Type Estimates for Beurling Generalized Prime Numbers
- Le rôle de l'algèbre H1 de Sobolev dans la théorie des nombres premiers généralisés de Beurling
- Beurling Generalized Prime Number Systems in Which the Chebyshev Inequalities Fail
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