Abstract
Let . In this article, we will determine the asymptotic behavior of the size of the set of integral points on the hyperplane in such that is squareful (an integer is called squareful if the exponent of each prime divisor of is at least two) and for each , when goes to infinity. For this, we will use the classical Hardy–Littlewood method. The result obtained supports a possible generalization of the Batyrev–Manin program to Fano orbifolds.
Citation
Karl Van Valckenborgh. "Squareful numbers in hyperplanes." Algebra Number Theory 6 (5) 1019 - 1041, 2012. https://doi.org/10.2140/ant.2012.6.1019
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