@incollection{AST_1987__147-148__95_0, author = {Hildebrand, Adolf}, title = {Recent progress in probabilistic number theory}, booktitle = {Journ\'ees arithm\'etiques de Besan\c{c}on}, series = {Ast\'erisque}, pages = {95--106}, publisher = {Soci\'et\'e math\'ematique de France}, number = {147-148}, year = {1987}, zbl = {0624.10045}, language = {en}, url = {http://www.numdam.org/item/AST_1987__147-148__95_0/} }
TY - CHAP AU - Hildebrand, Adolf TI - Recent progress in probabilistic number theory BT - Journées arithmétiques de Besançon AU - Collectif T3 - Astérisque PY - 1987 SP - 95 EP - 106 IS - 147-148 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1987__147-148__95_0/ LA - en ID - AST_1987__147-148__95_0 ER -
%0 Book Section %A Hildebrand, Adolf %T Recent progress in probabilistic number theory %B Journées arithmétiques de Besançon %A Collectif %S Astérisque %D 1987 %P 95-106 %N 147-148 %I Société mathématique de France %U http://www.numdam.org/item/AST_1987__147-148__95_0/ %G en %F AST_1987__147-148__95_0
Hildebrand, Adolf. Recent progress in probabilistic number theory, dans Journées arithmétiques de Besançon, Astérisque, no. 147-148 (1987), pp. 95-106. http://www.numdam.org/item/AST_1987__147-148__95_0/
[1] Sur les fonctions arithmétiques multiplicatives. Ann. Sci. Ec. Norm. Sup. 78 (1961), 273-304. | DOI | EuDML | Numdam | Zbl
,[2] Théorie probabiliste des nombres. Astérisque 94 (1982), 31-42. | Numdam | Zbl
,[3] Probabilistic Number Theory I, II. Springer. New York 1979, 1980. | Zbl
,[4] Arithmetic Functions and Integer Products. Springer. New York 1985. | DOI | Zbl
,[5] On the distribution of additive functions. Ann. Math. 47 (1946), 1-20. | DOI | Zbl
,[6] On the Gaussian law of errors in the theory of additive functions. Proc. Nat. Acad. Sci. U.S.A. 25 (1939), 206-207. | DOI | JFM
and ,[7] Über Mittelwerte zahlentheoretischer Funktionen. Acta Math. Acad. Sci. Hung. 19 (1968), 365-403. | DOI | Zbl
,[8] The normal number of prime factors of a number n. Quart. J. Math. (Oxford) 48 (1917), 76-92. | JFM
and ,[9] On Wirsing's mean value theorem for multiplicative functions. Bull. London Math. Soc., to appear. | Zbl
,[10] Multiplicative functions in short intervals. Preprint. | DOI | Zbl
,[11] Some results and problems in the theory of additive functions. Acta Sci. Math. (Szeged) 30 (1969), 305-311. | Zbl
,[12] On a problem of P. Erdös. J. Number Theory 2 (1970), 1-6. | DOI | Zbl
,[13] On random multiplicative functions. Acta Sci. Math. (Szeged) 33 (1972), 81-89. | Zbl
,[14] Probabilistic Methods in the Theory of Numbers. Am. Math. Soc. Transl. of Math. Monographs 11. Providence, 1964. | Zbl
,[15] Estimating the second central moment for arbitrary additive functions. Litovskii Mat. Sbornik 23 (1983) (2), 110-117. | Zbl
,[16] On the variance of an additive function. In: P. Erdös (Ed.), Studies in Pure Mathematics, to the memory of Paul Turán. Akademiai Kiado. Budapest 1983. | DOI | Zbl
,[17] Distribution functions of additive arithmetic functions. Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 426-430. | DOI | Zbl
,[18] On a theorem of Hardy and Ramanujan. J. London Math. Soc. 9 (1934), 274-276. | DOI | JFM | Zbl
,[19] Das asymptotische Verhalten von Summen über multiplikative Funktionen II. Acta Math. Sci. Hung. 18 (1967), 411-467. | DOI | Zbl
,[20] Characterization of the logarithm as an additive function. Am. Math. Soc. Proc. Symp. Pure Math. XX (1971), 375-381. | DOI | Zbl
,[21] Additive and completely additive functions with restricted growth. In: Recent Progress in Analytic Number Theory, Proc. of Symposium, Durham 1979. Vol. 2, 231-280. Academic Press, London 1981. | Zbl
,[22] Growth and differences of additive functions. Topics in Classical Number Theory. Colloquia Mathematica Societas Janos Bolyai 34, Budapest 1981, 1651-1661. | Zbl
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