Notes sur la fonctionζde Riemann, 1

Advances in Mathematics

Volumn 139, Issue 2, 1998, Pages 310-321

  Balazard, Michel ^a   Saias, Eric ^b  

^a CNRS   (France)

^b University of Paris VII LPSM partially supported by ERC Starting Grant 680275 MALIG   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039413712     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1998.1760     Document Type: Article

References (15)

1. Báez-Duarte L. On Beurling's real variable reformulation of the Riemann hypothesis. Adv. Maths. 101:1993;10-30.
2. Bercovici H., Foias C. A real variable restatement of Riemann's hypothesis. Israel J. Maths. 48:1984;57-68.
3. Beurling A. A closure problem related to the Riemann Zeta-function. Proc. Nat. Acad. Sci. 41:1955;312-314.
4. A. Blanchard, Initiation à la théorie analytique des nombres premiers, Dunod, 1969.
5. Donoghue W. F. Jr. Distributions and Fourier Transforms. Pure Appl. Math. 32:1969;Academic Press, San Diego.
6. Helson H. Convergence of Dirichlet series. L'analyse harmonique dans le domaine complexe. 1973;Springer Lecture Notes. p. 153-160.
7. Levinson N. Gap and Density Theorems. A.M.S. Coll. Publ. XXVI. 1940.
8. Nikolski N. Distance formulae and invariant subspaces, with an application to localization of zeroes of the Riemannζ Ann. Inst. Fourier. 45:1995;143-159.
9. Nyman B. On Some Groups and Semigroups of Translations. Thèse, Uppsala. 1950.
10. Paley R. E. A. C., Wiener N. The Fourier Transform in the Complex Domain. A.M.S. Coll. Publ. XIX. 1934.
11. Schwartz L. Etude des sommes d'exponentielles. 1959;Hermann, Paris.
12. Szász O. Über die Approximation stetiger Funktionen durch lineare Aggregate von Potenzen. Math. Ann. 77:1916;482-496.
13. Tenenbaum G. Introduction à la théorie analytique et probabiliste des nombres. Cours spécialisé S.M.F. 1:1996.
14. Titchmarsh E. C. The Theory of the Riemann Zeta-Function (revised by D. R. Heath-Brown). 1986;Clarendon Press, Oxford.
15. Vassiounine V. I. Sur un système biorthogonal relié à l'hypothèse de Riemann (en russe). Algebra i Annaliz. 7:1995;118-135.