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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-07-02 and was most recently seen on 2026-07-02.
In mathematics, Bhargava's factorial function, or simply the Bhargava factorial, is a generalization of the factorial function developed by the Fields Medal winning mathematician Manjul Bhargava as part of his bachelor's thesis at Harvard University in 1996. Bhargava subsequently published a revised version in The American Mathematical Monthly in 2000. The Bhargava factorial has the property that many number-theoretic results involving the ordinary factorials remain true even when the factorials are replaced by the Bhargava factorials. Using an arbitrary infinite subset S of the set of integers, Bhargava associated a positive integer with every positive integer k, which he denoted by k !S, with the property that if one takes S = itself, then the integer associated with k, that is k ! , would turn out to be the ordinary factorial of k.
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