MUNI Seminar series  Tamar Ziegler  Sign patterns of the Mobius function 
Mathematics, Physics & Computer Science Seminar SeriesSeminář se koná 9.10.2024 od 16:30 v zasedací místnosti 300, Komenského náměstí 220/2 Tamar ZieglerSign patterns of the Mobius function The Mobius function is one of the most important arithmetic functions. There is a vague yet well known principle regarding its randomness properties called the “Mobius randomness law". It basically states that the Mobius function should be orthogonal to any "structured" sequence. P. Sarnak suggested a far reaching conjecture as a possible formalization of this principle. He conjectured that "structured sequences" should correspond to sequences arising from deterministic dynamical systems. Sarnak’s conjecture follows from Chowla’s conjecture  which is the mobius version of the prime tuple conjecture. I will describe progress in recent years towards these conjectures, building on major advances dynamics, additive combinatorics, and analytic number theory. Tamar Ziegler is an Israeli mathematician known for her work in ergodic theory, combinatorics and number theory. She received her Ph.D. from the Hebrew University in 2003 under the supervision of Hillel Furstenberg.

Aktualizováno Pátek, 04 Říjen 2024 10:52 
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