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Integer Valued Definable Functions in $\mathbb{R}_{an,\exp}$
We give two variations on a result of Wilkie's on unary functions defianble in $\mathbb{R}_{an,\exp}$ that take integer values at positive integers. Provided that the functions grows slower than theExpand
Partitions , geometric progressions and a Putnam problem
Before giving a solution to this Putnam problem, we would like to introduce some terminology in the theory of partitions, the study of which can be dated back to the time of Euler. A partition of aExpand