An effective disproof of the Mertens conjecture
Journées arithmétiques de Besançon, Astérisque, no. 147-148 (1987), pp. 325-333

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Pintz, J. An effective disproof of the Mertens conjecture, dans Journées arithmétiques de Besançon, Astérisque, no. 147-148 (1987), pp. 325-333. http://geodesic.mathdoc.fr/item/AST_1987__147-148__325_0/
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     year = {1987},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {147-148},
     zbl = {0623.10031},
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[1] A. E. Ingham, On two conjectures in the theory of numbers, Amer. J. Math. 64 (1942), 313-319. | Zbl | DOI

[2] W.B. Jurkat And A. Peyerimhoff, A constructive approach to Kronecker approximations and its application to the Mertens conjecture, J. reine angew. Math. 286/287 (1976), 322-340. | Zbl | EuDML

[3] A. K. Lenstra, H. W. Lenstra Jr., And L. Lovász, Factoring polynomials with rational coefficients, Math. Ann. 261 (1982), 515-534. | Zbl | EuDML | DOI

[4] H. Von Mangoldt, Zu Riemann's Abhandlung "über die Anzahl der Primzahlen unter einer gegebenen Grösse", J. reine angew. Math. 114 (1895), 255-305. | JFM | EuDML

[5] F. Mertens, Über eine zahlentheoretische Funktion, Sitzungsberichte Akad. Wien 106, Abt. 2a (1897), 761-830. | JFM

[6] A. M. Odlyzko And H. J. J. Te Riele, Disproof of the Mertens conjecture, J. reine angew. Math. 357 (1985), 138-160. | Zbl | EuDML

[7] J. Pintz, Oscillatory properties of M(x)= nxμ(n), I, Acta Arith. 42 (1982), 49-55. | Zbl | EuDML | DOI

[8] J. B. Rosser, J. M. Yohe And L. Schoenfeld, Rigorous computation and the zeros of the Riemann zeta-function, Information Processing 68 , Vol. 1: Mathematics, Software, pp.70-76, North-Holland, Amsterdam, 1969. | Zbl

[9] E. C.Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford Univ. Press, 1951. | Zbl