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cs.DM2013
Newton representation of functions over natural integers having integral difference ratios
Patrick Cegielski, Serge Grigorieff, Irene Guessarian
Different questions lead to the same class of functions from natural integers to integers: those which have integral difference ratios, i.e. verifying $f(a)-f(b)\equiv0 \pmod {(a-b…
cs.DM2013
On Lattices of Regular Sets of Natural Integers Closed under Decrementation
Patrick Cégielski, Serge Grigorieff, Irène Guessarian
We consider lattices of regular sets of non negative integers, i.e. of sets definable in Presbuger arithmetic. We prove that if such a lattice is closed under decrement then it is…