Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Integer Valued Functions on Products


Affiliations
1 Universite P.ET M. Crie (Paris VI), Institut Mathematique De Jussieu, Problems Diophantiens, Case 2474, Place Jussieu F-75252 Paris Cedex 05, France
     

   Subscribe/Renew Journal


Let X and Y be two infinite subsets of C and ∫ an entire function such that f(xy) ∈ Z for any x ∈ X and y ∈ Y. Assuming some growth conditions on/ (upper bound) and on the size of X and Y (lower*, bounds), we deduce that/must be a polynomial.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 315

PDF Views: 0




  • Integer Valued Functions on Products

Abstract Views: 315  |  PDF Views: 0

Authors

Michel Waldschmidt
Universite P.ET M. Crie (Paris VI), Institut Mathematique De Jussieu, Problems Diophantiens, Case 2474, Place Jussieu F-75252 Paris Cedex 05, France

Abstract


Let X and Y be two infinite subsets of C and ∫ an entire function such that f(xy) ∈ Z for any x ∈ X and y ∈ Y. Assuming some growth conditions on/ (upper bound) and on the size of X and Y (lower*, bounds), we deduce that/must be a polynomial.