1 citations · 1 across the 3 of their papers we have counts for
3 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…
math.CA2010
Geometric-arithmetic averaging of dyadic weights
Jill Pipher, Lesley Ward, Xiao Xiao
The theory of (Muckenhoupt) weights arises in many areas of analysis, for example in connection with bounds for singular integrals and maximal functions on weighted spaces. We prov…