On the distribution of square-full integers

Dan Wang ()
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Dan Wang: Qilu University of Technology (Shandong Academy of Sciences)

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 627-634

Abstract: Abstract Let S(x) be the number of square-full integers not exceeding x and let $$\Delta (x)$$ Δ ( x ) be the error term in the asymptotic formula for S(x). Under the Riemann hypothesis, we get that $$\Delta (x)\ll x^{\frac{328}{2333}}$$ Δ ( x ) ≪ x 328 2333 , which improves the exponent $$\frac{121}{860}$$ 121 860 obtained by Liu [6].

Keywords: Squarefull integers; Exponential sums; 11L07; 11B83 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00154-0

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