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UID:434@math.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20250512T170000

DTEND;TZID=Asia/Jerusalem:20250512T180000

DTSTAMP:20250407T103818Z

URL:https://math.technion.ac.il/events/sign-patterns-of-the-mobius-functio
 n/

SUMMARY:Sign patterns of the Mobius function
DESCRIPTION:Lecturer:Tamar Ziegler\n Location:Sego 1\n Abstract: The Mobius
  function is one of the most important arithmetic functions. There is a va
 gue yet well known principle regarding its randomness properties called th
 e “Mobius randomness law". It basically states that the Mobius function 
 should be orthogonal to any "structured" sequence. P. Sarnak suggested a f
 ar reaching conjecture as a possible formalization of this principle. He c
 onjectured that "structured sequences" should correspond to sequences aris
 ing from deterministic dynamical systems. Sarnak’s conjecture follows fr
 om Chowla’s conjecture - which is the mobius version of the prime tuple 
 conjecture. I will describe progress in recent years towards these conject
 ures\, building on major advances dynamics\, additive combinatorics\, and 
 analytic number theory.\n 
CATEGORIES:Netanyahu Memorial Lecture,Seminars
LOCATION:Sego 1

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DTSTART:20250328T030000

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