Michael Wallner

activity

20162022

most citedA half-normal distribution scheme for generating functions

14 citations · 87 across the 22 of their papers we have counts for

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math.NT2020

The binary digits of n+t

Lukas Spiegelhofer, Michael Wallner

The binary sum-of-digits function $s$ counts the number of ones in the binary expansion of a nonnegative integer. For any nonnegative integer $t$ , T.~W.~Cusick defined the asymptot…

math.NT2017★ 1 cited

Divisibility of binomial coefficients by powers of two

Lukas Spiegelhofer, Michael Wallner

For nonnegative integers $j$ and $n$ let $Θ (j, n)$ be the number of entries in the $n$ -th row of Pascal's triangle that are not divisible by $2^{j + 1}$ . In this paper we prove that t…

math.NT2016★ 2 cited

An explicit generating function arising in counting binomial coefficients divisible by powers of primes

Lukas Spiegelhofer, Michael Wallner

For a prime $p$ and nonnegative integers $j$ and $n$ let $ϑ_{p} (j, n)$ be the number of entries in the $n$ -th row of Pascal's triangle that are exactly divisible by $p^{j}$ . Mor…