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Bhargava's Early Work: The Genesis of P-Orderings

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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Soumis le : lundi 28 mars 2022 - 09:37:49
Dernière modification le : mercredi 14 septembre 2022 - 17:02:26




Paul-Jean Cahen, Jean-Luc Chabert, Kiran S. Kedlaya. Bhargava's Early Work: The Genesis of P-Orderings. The American Mathematical Monthly, Mathematical Association of America, 2017, 124 (9), pp.773-790. ⟨10.4169/amer.math.monthly.124.9.773⟩. ⟨hal-03621214⟩



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