4 papers
Finite sums of arithmetic progressions
Shahram Mohsenipour
We give a purely combinatorial proof for a two-fold generalization of van der Waerden-Brauer's theorem and Hindman's theorem. We also give tower bounds for a finite version of it.
Discrete orderings in the real spectrum
Shahram Mohsenipour
We study discrete orderings in the real spectrum of a commutative ring by defining discrete prime cones and give an algebro-geometric meaning to some kind of diophantine problems o…
On finitary Hindman's numbers
Shahram Mohsenipour, Saharon Shelah
Spencer asked whether the Paris-Harrington version of the Folkman-Sanders theorem has primitive recursive upper bounds. We give a positive answer to this question.
On a question of Silver about gap-two cardinal transfer principles
Mohammad Golshani, Shahram Mohsenipour
Assuming the existence of a Mahlo cardinal, we produce a generic extension of Gödel's constructible universe , in which the transfer principles $(\aleph_2, \aleph_0) \to (\aleph…