Quantitative Equidistribution for Certain Quadruples in Quasi-Random Groups

Erratum

TIM AUSTIN

Research output: Contribution to journalArticle

Abstract

In my recent paper [1] there is a mistake in the proof of Corollary 3. The first line of the displayed equation in that proof asserts that (Formula presented.) However, since the paper uses complex-valued representations, the integrand on the right here may not retain the absolute value of that on the left. Without this equality, the proof of Corollary 3 can no longer be reduced to an application of Lemma 2. However, it can be proved directly from Schur Orthogonality along very similar lines to the proof of Lemma 2.

Original languageEnglish (US)
JournalCombinatorics Probability and Computing
DOIs
StateAccepted/In press - Sep 22 2015

Fingerprint

Equidistribution
Quadruple
Lemma
Corollary
Line
Integrand
Orthogonality
Absolute value
Equality

ASJC Scopus subject areas

  • Applied Mathematics
  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Statistics and Probability

Cite this

Quantitative Equidistribution for Certain Quadruples in Quasi-Random Groups : Erratum. / AUSTIN, TIM.

In: Combinatorics Probability and Computing, 22.09.2015.

Research output: Contribution to journalArticle

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