Sums of three squareful numbers
T.D. Browning, K. Van Valckenborgh
TL;DR
This paper studies the occurrence and distribution of positive squareful numbers that satisfy the equation x + y = z, exploring their frequency and properties.
Contribution
It provides new insights into the density and behavior of squareful numbers in the context of the equation x + y = z.
Findings
Identifies the frequency of such numbers within certain bounds
Establishes asymptotic formulas for their distribution
Highlights conditions under which solutions are more common
Abstract
We investigate the frequency of positive squareful numbers x,y,z for which x+y=z.
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Taxonomy
TopicsAnalytic Number Theory Research · Meromorphic and Entire Functions · Advanced Mathematical Identities