Probability of digits by dividing random numbers: a \(\psi\) and \(\zeta\) functions approach

DOI10.1016/J.EXMATH.2012.03.001zbMath1277.11082OpenAlexW2143769460WikidataQ56068776 ScholiaQ56068776MaRDI QIDQ690434

Daniele Ritelli, Alessandro Gambini, Giovanni Mingari Scarpello

Publication date: 27 November 2012

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2012.03.001

zbMATH Keywords

Hurwitz \(\zeta\) functionelementary probabilityEuler \(\psi\) function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Radix representation; digital problems (11A63) Distribution theory (60E99) Hurwitz and Lerch zeta functions (11M35) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (1)

On the distribution of the digits of quotients of integers and primes

Cites Work

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• A statistical derivation of the significant-digit law
• Benford's law, values of L-functions and the 3x+1 problem
• Some properties of the gamma and psi functions, with applications

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