q-diff


q-difference equations & related topics

Articles

  • G. Casale
    Simple meromorphic functions are algebraic, to appear in Boletim da Sociedade Brasileira de Matem ́atica.
  • C. De Concini, D. Hernandez, N. Reshetikhin
    Geometry of the analytic loop group, Advances in Mathematics 238 (2013), 290–321.
  • L. DiVizio, C. Hardouin
    Descent for differential Galois theory of difference equations. Confluence and q-dependency,
    Pacific Journal of Mathematics, Vol. 256 (2012), No. 1, 79—104.
  • S. Fischler, T. Rivoal
    On the values of G-functions, 27 pages, Commentarii Math. Helv., to appear.
  • C. Krattenthaler, T. Rivoal
    Analytic properties of mirror maps, 40 pages, J. Austr. Math. Soc., to appear.
  • A. Lastra, S. Malek, J. Sanz
    Continuous right inverses for the asymptotic Borel map in ultraholomorphic classes via a Laplace-type transform,
    Journal of Mathematical Analysis and Applications, vol 396, no. 2 (2012).
  • S. Malek
    Complex singularity analysis for linear partial q-difference-differential equations using nonlinear differential equations,
    J. Dynam. Control. Syst. 19 (2013), no. 1.
  • T. Rivoal, J. Roques
    Convergence and modular type properties of a twisted Riemann series, Uniform Distribution Theory 8 (2013), no.1, 97–119.
  • J. Roques
    Arithmetic properties of mirror maps associated with Gauss’s hypergeometric equations,
    Monatshefte fur Mathematik, to appear.
  • J. Roques
    On generalized hypergeometric equations and mirror maps, Proceedings of the American Mathematical Society, to appear.
  • G. Casale, J. Roques
    Nonintegrability by discrete quadratures. to appear in Crelles's Journal 「PDF」
  • L. Di Vizio, C. Hardouin
    Courbures, groupes de Galois génériques et D-groupoïdes de Galois d'un système aux D-différences.
    C. R. Math. Acad. Sci. Paris 348 (2010), no. 17-18, 951--954.「PDF」
  • C. Krattenthaler, T. Rivoal
    On the integrality of the Taylor coefficients of mirror maps, II. -- Commun. Number Theory Phys. 3.3 (2009), 555-591. 「PDF」
  • G. Casale, J. Roques
    Dynamic of rational mappings and difference Galois theory. -- Int. Math. Res. Notices 2008 (2008) 「PDF」