S. Grigorieff

activity

20082024

most citedSet theoretical Representations of Integers, I

3 citations · 8 across the 13 of their papers we have counts for

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math.NT2015

Arithmetical Congruence Preservation: from Finite to Infinite

Patrick Cégielski, Serge Grigorieff, Irène Guessarian

Various problems on integers lead to the class of congruence preserving functions on rings, i.e. functions verifying $a - b$ divides $f (a) - f (b)$ for all $a, b$ . We characterized these…

math.NT2015★ 2 cited

Characterizing congruence preserving functions $Z / n Z \to Z / m Z$ via rational polynomials

Patrick Cegielski, Serge Grigorieff, Irene Guessarian

We introduce a basis of rational polynomial-like functions $P_{0}, \dots, P_{n - 1}$ for the free module of functions $Z / n Z \to Z / m Z$ . We then characterize the subfamily of congruence pr…

Arithmetical Congruence Preservation: from Finite to Infinite

Characterizing congruence preserving functions Z/nZ→Z/mZ via rational polynomials

Characterizing congruence preserving functions $Z / n Z \to Z / m Z$ via rational polynomials