A prototype of zero-sum theorems, the well-known theorem of Erdos, Ginzburg and Ziv says that for any positive integer n, any sequence a1, a2, . . . , a2n-1 of 2n-1 integers has a...
Sukumar Das Adhikari, Yong-Gao Chen, John Friedlan...
In this paper we prove that a transitive fuzzy relation R on a set X can be extended to a total transitive fuzzy relation Q on X preserving the irreflexivity of R. This generaliz...
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon&...
The seminal theorem of Cobham has given rise during the last 40 years to a lot of works around non-standard numeration systems and has been extended to many contexts. In this paper...
We will describe three kinds of probabilistic induction problems, and give general solutions for each , with associated convergence theorems that show they tend to give good proba...