<p style='text-indent:20px;'>We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed to be countable and space need separable. This generalizes a previous result of Bergelson, McCutcheon Zhang, complements Zorin-Kranich. We following two additional results: First, combinatorial application about triangular patterns certain subsets Cartesian squa...

Abstract Santiago Roth (1850–1924) was a naturalist that collected and sold fossils from the Pampean region (Argentina) in Europe. Much of specimens by are hosted at Paläontologisches Institut und Museum, Universität Zürich Muséun D’Histoire Naturelle Geneva Switzerland, but were never studied. In this article, we review order Carnivora under taxonomical temporal approach. We confirm presence 1...

We shall show that there is a effectively computable upper bound of the heights of solutions for an inequality in Roth-Ridout’s theorem.