J. Sondow

activity

20022007

most citedThe generalized-Euler-constant function

γ (z)

and a generalization of Somos's quadratic recurrence constant

43 citations · 71 across the 8 of their papers we have counts for

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Showing 2005 · math.NTShow all

2 papers · 2 filters

math.NT2005

Summation of Series Defined by Counting Blocks of Digits

Jean-Paul Allouche, Jeffrey Shallit, Jonathan Sondow

We discuss the summation of certain series defined by counting blocks of digits in the $B$ -ary expansion of an integer. For example, if $s_{2} (n)$ denotes the sum of the base-2 digit…

math.NT2005

Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent

Jesus Guillera, Jonathan Sondow

The two-fold aim of the paper is to unify and generalize on the one hand the double integrals of Beukers for $ζ (2)$ and $ζ (3),$ and those of the second author for Euler's constant…