most citedThe Arithmetic Partial Derivative

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.NT2023

A Generalization of Arithmetic Derivative to -adic Fields and Number Fields

Brad Emmons, Xiao Xiao

The arithmetic derivative is a function from the natural numbers to itself that sends all prime numbers to and satisfies the Leibniz rule. The arithmetic partial derivative wit…

math.NT2022★ 1 cited

The Arithmetic Partial Derivative

Brad Emmons, Xiao Xiao

The arithmetic partial derivative (with respect to a prime ) is a function from the set of integers that sends to 1 and satisfies the Leibniz rule. In this paper, we prove t…