Theoretical analysis demonstrates the distribution of squarefree integers in special forms, indicating new bounds via exponential sum estimation.
This paper aims to study the squarefree numbers of the forms [Formula: see text] and [Formula: see text]. We will use the ‘Division Trick’ to detect the conditions [Formula: see text] and [Formula: see text]. Then we will prove our theorems by estimating the exponential sums.
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Yanbo Song (2026) studied this question.
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