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Distribution of Binomial Coefficients and Digital Functions
Author(s) -
Barat Guy,
Grabner Peter J.
Publication year - 2001
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610701002630
Subject(s) - binomial coefficient , mathematics , modulo , negative binomial distribution , central binomial coefficient , binomial approximation , valuation (finance) , distribution (mathematics) , binomial distribution , multinomial distribution , arithmetic , discrete mathematics , statistics , mathematical analysis , poisson distribution , finance , economics
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.