arXiv subjects

Christian Ballot

Publications and source records attributed to Christian Ballot.

2 recordsLinked to original sources

arXiv2017

On a family of recurrences that includes the Fibonacci and the Narayana recurrences

We survey and prove properties a family of recurrences bears in relation to integer representations, compositions, the Pascal triangle, sums of digits, Nim games and Beatty sequences.

math.NT↗

arXiv2014

The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences

Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other related stronger congruences.

math.NT↗