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SUMMARY:Lukas Spiegelhofer (Montanuniversität Leoben)
DTSTART:20221011T120000Z
DTEND:20221011T130000Z
DTSTAMP:20260423T053131Z
UID:OWNS/95
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/95/">Pr
 imes as sums of Fibonacci numbers</a>\nby Lukas Spiegelhofer (Montanuniver
 sität Leoben) as part of One World Numeration seminar\n\n\nAbstract\nWe p
 rove that the Zeckendorf sum-of-digits function of prime numbers\, $z(p)$\
 , is uniformly distributed in residue classes.\nThe main ingredient that m
 ade this proof possible is the study of very sparse arithmetic subsequence
 s of $z(n)$. In other words\, we will meet the level of distribution.\nOur
  proof of this central result is based on a combination of the "Mauduit−
 Rivat−van der Corput method" for digital problems and an estimate of a G
 owers norm related to $z(n)$.\nOur method of proof yields examples of subs
 titutive sequences that are orthogonal to the Möbius function (cf. Sarnak
 's conjecture).\n\nThis is joint work with Michael Drmota and Clemens Mül
 lner (TU Wien).\n
LOCATION:https://researchseminars.org/talk/OWNS/95/
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