Ramanujan expansions of multiplicative functions
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Displaying 1 – 20 of 43
Ramanujan sums and almost periodic functions
P. Erdös, M. Kac, E. van Kampen, A. Wintner (1940)
Studia Mathematica
Ramanujan-Fourier series and the conjecture D of Hardy and Littlewood
H. Gopalakrishna Gadiyar, Ramanathan Padma (2014)
Czechoslovak Mathematical Journal
We give a heuristic proof of a conjecture of Hardy and Littlewood concerning the density of prime pairs to which twin primes and Sophie Germain primes are special cases. The method uses the Ramanujan-Fourier series for a modified von Mangoldt function and the Wiener-Khintchine theorem for arithmetical functions. The failing of the heuristic proof is due to the lack of justification of interchange of certain limits. Experimental evidence using computer calculations is provided for the plausibility...
Ramdom variables related to distributions of sums modulo an integer.
Sburlati, G. (2002)
Rendiconti del Seminario Matematico
Random generators and normal numbers.
Bailey, David H., Crandall, Richard E. (2002)
Experimental Mathematics
Rauzy tilings and bounded remainder sets on the torus.
Zhuravlev, V.G. (2005)
Journal of Mathematical Sciences (New York)
Recouvrement d'un cercle par des intervalles
M. Reversat (1974/1975)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Recouvrement optimal du cercle par les multiples d'un intervalle
M. Deleglise (1991)
Acta Arithmetica
Regular sets and conditional density: an extension of Benford's law
Rita Giuliano Antonini, Georges Grekos (2005)
Colloquium Mathematicae
We give an extension of Benford's law (first digit problem) by using the concept of conditional density, introduced by Fuchs and Letta. The main tool is the notion of regular subset of integers.
Regularities of distribution
Pierre Liardet (1987)
Compositio Mathematica
Regularity of distribution of (nα)-sequences
Johannes Schoissengeier (2008)
Acta Arithmetica
Relative Gleichverteilung in lokalkompakten Räumen II.
Peter Gerl (1971)
Monatshefte für Mathematik
Remark to a theorem of P. Erdös
P. Szüsz (1974)
Acta Arithmetica
Remarks on Invariant Measures for Number Theoretic Transformations.
Michael S. Waterman (1975)
Monatshefte für Mathematik
Remarks on several types of convergence of bounded sequences
Vladimír Baláž, Oto Strauch, Tibor Šalát (2006)
Acta Mathematica Universitatis Ostraviensis
In this paper we analyze relations among several types of convergences of bounded sequences, in particulars among statistical convergence, -convergence, -convergence, almost convergence, strong -Cesàro convergence and uniformly strong -Cesàro convergence.
Remarks on statistical independence of sequences
Peter J. Grabner, Robert Franz Tichy (1994)
Mathematica Slovaca
Remarks on Steinhaus’ property and ratio sets of sets of positive integers
Tibor Šalát (2000)
Czechoslovak Mathematical Journal
This paper is closely related to an earlier paper of the author and W. Narkiewicz (cf. [7]) and to some papers concerning ratio sets of positive integers (cf. [4], [5], [12], [13], [14]). The paper contains some new results completing results of the mentioned papers. Among other things a characterization of the Steinhaus property of sets of positive integers is given here by using the concept of ratio sets of positive integers.
Remarks on the Ergodic Theory of the Continued Fractions
Tibor Šalát (1967)
Matematický časopis
Remarks on the -density of sets of numbers. II
József Bukor, Pál Erdös, Tibor Šalát, János T. Tóth (1997)
Mathematica Slovaca
Remarks on the theorem of Elliott and Daboussi, and applications
Wolfgang Schwarz (1985)
Banach Center Publications
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