Correlations of multiplicative functions
Connections for Women: Analytic Number Theory February 02, 2017 - February 03, 2017
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
number theory
Green-Tao Type Theorem
multiplicative function
Fourier coefficients of automorphic forms
11G20 - Curves over finite and local fields [See also 14H25]
11E45 - Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
Correlations Of Multiplicative Functions
In this talk I will discuss correlations of the form sum_{n,d < x} h_1(n) h_2(n+d) ... h_{r+1}(n+rd) (and generalisations thereof) for multiplicative functions h_1, ..., h_{r+1}. In particular, I will describe a set of conditions under which such correlations can be evaluated asymptotically and discuss one or two applications
Matthiesen Notes
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Correlations Of Multiplicative Functions
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01-Matthiesen.mp4
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