Lecture

Correlations of the Liouville function

Description

This lecture covers the correlations of the Liouville function along deterministic and independent sequences, exploring concepts such as the Möbius function, the Chowla conjecture, odd logarithmic Chowla, Furstenberg systems, and correlations along independent polynomials and sequences. The instructor presents key identities, theorems, and proofs related to these topics, highlighting the ergodic properties of sequences, F-systems, and theorems on independent sequences. The lecture concludes with open problems regarding special and general forms of independent sequences.

Official source

https://mediaspace.epfl.ch/media/0_fxt0vfd3

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Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

Algebra: Representation theory

Number theory: Topics in number theory

Systems science and engineering

Systems theory: Chaos theory

Logic

Classical logic: First-order logic

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