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DISTRIBUTION OF BINOMIAL COEFFICIENTS AND DIGITAL FUNCTIONS

Published online by Cambridge University Press:  30 January 2002

GUY BARAT  and
PETER J. GRABNER
GUY BARAT
Affiliation:
20 rue Fourcroy, 75017 Paris, Francebarat@finanz.math.tu-graz.ac.at
PETER J. GRABNER
Affiliation:
Institut für Mathematik A, Technische Universität Graz, Steyrergasse 30, 8010 Graz, Austria; peter.grabner@tugraz.at
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Abstract

The distribution of binomial coefficients in residue classes modulo prime powers and with respect to the p-adic valuation is studied. For this purpose, general asymptotic results for arithmetic functions depending on blocks of digits with respect to q-ary expansions are established.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 523 - 547
Copyright
London Mathematical Society 2001

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