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تسجيل مستخدم جديدOn the correlation between M{o}bius and polynomial phases in short arithmetic progressions
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تأليف
Fei Wei
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We obtain an estimate for the average value of the product of the Mobius function and any polynomial phase over short intervals and arithmetic progressions simultaneously. As a consequence, we prove that the product of M{o}bius and any polynomial phase is disjoint from arithmetic functions realized in certain rigid dynamical systems, such as any finite products of translations of Mobius squared.
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