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M{o}bius disjointness for a class of exponential functions

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 نشر من قبل Fei Wei Dr.
 تاريخ النشر 2020
  مجال البحث
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A vast class of exponential functions is showed to be deterministic. This class includes functions whose exponents are polynomial-like or piece-wise close to polynomials after differentiation. Many of these functions are indeed disjoint from the Mobius function. As a consequence, we show that Sarnaks Disjointness Conjecture for the Mobius function (from deterministic sequences) is equivalent to the disjointness in average over short intervals



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