Cégielski, Patrick; Grigorieff, Serge; Guessarian, Irène Characterizing congruence preserving functions \(\mathbb Z/n\mathbb Z \to \mathbb Z/m\mathbb Z\) via rational polynomials. (English) Zbl 1377.11005 Integers 16, Paper A50, 13 p. (2016). Reviewer: Antonio M. Oller (Zaragoza) MSC: 11A07 05A15 PDFBibTeX XMLCite \textit{P. Cégielski} et al., Integers 16, Paper A50, 13 p. (2016; Zbl 1377.11005) Full Text: arXiv EMIS
Cégielski, Patrick; Grigorieff, Serge; Guessarian, Irène Newton representation of functions over natural integers having integral difference ratios. (English) Zbl 1395.11006 Int. J. Number Theory 11, No. 7, 2109-2139 (2015). MSC: 11A05 11B65 PDFBibTeX XMLCite \textit{P. Cégielski} et al., Int. J. Number Theory 11, No. 7, 2109--2139 (2015; Zbl 1395.11006) Full Text: DOI arXiv
Cégielski, Patrick; Grigorieff, Serge; Guessarian, Irène Arithmetical congruence preservation: from finite to infinite. (English) Zbl 1465.11031 Beklemishev, Lev D. (ed.) et al., Fields of logic and computation II. Essays dedicated to Yuri Gurevich on the occasion of his 75th birthday. Cham: Springer. Lect. Notes Comput. Sci. 9300, 210-225 (2015). MSC: 11A07 PDFBibTeX XMLCite \textit{P. Cégielski} et al., Lect. Notes Comput. Sci. 9300, 210--225 (2015; Zbl 1465.11031) Full Text: DOI arXiv
Cégielski, Patrick; Grigorieff, Serge; Guessarian, Irène Integral difference ratio functions on integers. (English) Zbl 1323.11002 Calude, Cristian S. (ed.) et al., Computing with new resources. Essays dedicated to Jozef Gruska on the occasion of his 80th birthday. Cham: Springer (ISBN 978-3-319-13349-2/pbk; 978-3-319-13350-8/ebook). Lecture Notes in Computer Science 8808, 277-291 (2014). MSC: 11A25 11B65 11B83 PDFBibTeX XMLCite \textit{P. Cégielski} et al., Lect. Notes Comput. Sci. 8808, 277--291 (2014; Zbl 1323.11002) Full Text: DOI HAL