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Abstract
As an undergraduate student, Manjul Bhargava gave a full answer to a question on polynomial functions on the integers. He immediately generalized this study to finite principal ideal rings, thanks to the amazingly simple notion of P-ordering. This tool, together with a beautiful generalization of factorials, allowed him to generalize many classical theorems. It turned out to be extremely useful for the study of integer-valued polynomials on subsets.
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Notes on contributors
Paul-Jean Cahen
PAUL-JEAN CAHEN received his Ph.D. in 1973 at the University Paris XI-Orsay with Pierre Samuel as adviser. He is currently retired.
Jean-Luc Chabert
JEAN-LUC CHABERT received his Ph.D. in 1973 at the University Paris XI-Orsay with Pierre Samuel as adviser. He is currently professor emeritus of the University of Picardie.
Kiran S. Kedlaya
KIRAN S. KEDLAYA received his Ph.D. in 2000 at MIT with Johan de Jong as adviser. He is currently a professor at the University of California, San Diego.