Structure of multicorrelation sequences with integer part polynomial iterates along primes
Authors:
Andreas Koutsogiannis, Anh N. Le, Joel Moreira and Florian K. Richter
Journal:
Proc. Amer. Math. Soc. 149 (2021), 209-216
MSC (2010):
Primary 37A45, 37A15; Secondary 11B30
DOI:
https://doi.org/10.1090/proc/15185
Published electronically:
October 16, 2020
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a measure-preserving
-action on the probability space
let
be vector polynomials, and let
. For any
and multicorrelation sequences of the form
we show that there exists a nil-
sequence for which
and
This result simultaneously generalizes previous results of Frantzikinakis and the authors.
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Additional Information
Andreas Koutsogiannis
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, Ohio
Email:
koutsogiannis.1@osu.edu
Anh N. Le
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois
Email:
anhle@math.northwestern.edu
Joel Moreira
Affiliation:
Mathematics Institute, University of Warwick, Coventry, United Kingdom
Email:
joel.moreira@warwick.ac.uk
Florian K. Richter
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois
Email:
fkr@northwestern.edu
DOI:
https://doi.org/10.1090/proc/15185
Keywords:
Multicorrelation sequences,
nilsequences,
integer part polynomials,
prime numbers
Received by editor(s):
April 24, 2020
Published electronically:
October 16, 2020
Additional Notes:
The fourth author was supported by the National Science Foundation under grant number DMS 1901453.
Communicated by:
Katrin Gelfert
Article copyright:
© Copyright 2020
American Mathematical Society