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UID:5913@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221018T110000
DTEND;TZID=Europe/Paris:20221018T120000
DTSTAMP:20241120T200655Z
URL:https://www.i2m.univ-amu.fr/evenements/primes-as-sums-of-fibonacci-num
 bers/
SUMMARY:Michael Drmota (TU Wien): Primes as sums of Fibonacci numbers
DESCRIPTION:Michael Drmota: The purpose of talk is to discuss the relations
 hip between prime numbers and sums of Fibonacci numbers. The main results 
 says that for every sufficiently large integer k there exists a prime numb
 er that can be represented as the sum of k different and non-consecutive F
 ibonacci numbers.\nThis property is closely related to\, and based on\, a 
 prime number theorem for certain morphic sequences. The proof uses Gowers 
 norms estimates that leads to level-of-distribution results as well as to 
 estimates of sums of type I and II. Furthermore a strong central limit the
 orem for the Zeckendorf sum-of-digits function along primes has to be esta
 blished.\nThis is joint work with Clemens Müllner and Lukas Spiegelhofer\
 n\nhttps://arxiv.org/abs/2109.04068
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/09/Michael_Drmota.png
CATEGORIES:Séminaire,Ernest
LOCATION:I2M Luminy - Ancienne BU\, Salle Séminaire2 (RdC)\, 163 Avenue de
  Luminy\, 13009 Marseille\, France\, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, 1300
 9 Marseille\, France\, ;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - Ancienne B
 U\, Salle Séminaire2 (RdC):geo:0,0
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