References
S. Agmon,Lectures on elliptic boundary value problems, Van Nostrand, New Jersey, 1965.
A. Beurling,A closure problem related to the Riemann zeta-function, Proc. Nat. Acad. Sci.41 (1955), 312–314.
A. Blanchard,Initiation à la theorie analytique des nombres, Dunod, Paris 1969.
R.P. Boas,Entire Functions, Academic Press, New York, 1954.
T. Carleman,Zur Theorie der linearen Integralengleichungen, Math. Z. 9 (1921), 196–217.
J.B. Conrey,More than two fifths of the zeros of the Riemann zeta function are on the critical line. J. reine angew. Math.399 (1989), 1–26.
T. Craven, G. Csordas and W. Smith,The zeros of the derivatives of entire functions and the Polya-Wiman conjecture, Annals of Math.125, (1987), 405–431.
K. Deimling,Non linear functional analysis, Springer, Berlin 1985.
W.F. Donoghue,Distributions and Fourier transforms, Academic Press, New York, 1969.
I.C. Gohberg and M.G. Krein,Introduction to the theory of linear nonselfadjoint operators, A.M.S., Rhode Island, 1969.
K. Jörgens,Lineare Integraloperatoren. Teubner, Stuttgart, 1970.
Y.O. Kim,A proof of the Polya-Wiman conjecture, Proc. Amer. Math. Soc.109 (1990), 1045–1052.
B.J. Levin,Distributions of zeros of entire functions, A.M.S., Rhode Island, 1964.
A.S. Markus,Some criteria for the completeness of a system of root vectors of a linear operator in a Banach space. A.M.S. Transl. (2)85 (1969), 51–91.
A. Markushevich,Teoria de las Funciones Analiticas, Vol. II, Mir, Moscow, 1978.
A.M. Odlyzko and H.J. te Riele.Disproof of the Mertens conjecture, J. reine angew. Math.357 (1985), 138–260.
S.J. Patterson,The theory of the Riemann zeta function, Cambridge University Press, Cambridge, 1989.
G. Pólya and G. Szegö,Problems and theorems in Analysis, Vol. II, Springer, Berlin 1976.
H.J. te Riele, J. van der Lune and D.T. Winter,On the zeros of the Riemann zeta-function in the critical strip, IV, Math. of Computation46 (1986), 667–681.
W. Rudin,Real and complex analysis, Mc Graw Hill, New York, 1974.
S. Saks and A. Zygmund,Analytic functions, PWN, Warsaw, 1971.
H.H. Tchaefer,Topological vector spaces, Macmillan, New York, 1966.
E.C. Titchmarsh,The theory of functions, Oxford University Press, London, 1960.
A.C. Zaanen,Linear analysis, North Holland, Amsterdam, 1964.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Alcántara-Bode, J. An integral equation formulation of the Riemann Hypothesis. Integr equ oper theory 17, 151–168 (1993). https://doi.org/10.1007/BF01200216
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01200216