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<p>We derive asymptotic estimates for some average values of the Jordan function evaluated over shifted smooth numbers in arithmetic progressions whose sum of digits is in arithmetic progression. In particular, we generalize an earlier work of Loiperdinger and Shparlinski.</p>

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On the average of Jordan’s Function over shifted smooth numbers under constraints on the sum of digits

  • 期刊论文

  • 发表日期：

    2026年3月23日

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  • Karam Aloui

摘要

We derive asymptotic estimates for some average values of the Jordan function evaluated over shifted smooth numbers in arithmetic progressions whose sum of digits is in arithmetic progression. In particular, we generalize an earlier work of Loiperdinger and Shparlinski.