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Article Dans Une Revue The American Mathematical Monthly Année : 2017

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

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Résumé

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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hal-03621214 , version 1 (28-03-2022)

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