Pith. sign in

REVIEW 1 cited by

Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1603.00506 v1 pith:GU7OL5KD submitted 2016-03-01 math.FA

Estelle L. Basor , Torsten Ehrhardt This is my paper · ORCID
classification math.FA
keywords casecertaindeterminantshankelmatricessymbolstoeplitzasymptotic
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We compute the asymptotics of the determinants of certain $n\times n$ Toeplitz + Hankel matrices $T_n(a)+H_n(b)$ as $n\to\infty$ with symbols of Fisher-Hartwig type. More specifically we consider the case where $a$ has zeros and poles and where $b$ is related to $a$ in specific ways. Previous results of Deift, Its and Krasovsky dealt with the case where $a$ is even. We are generalizing this in a mild way to certain non-even symbols.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

    math-ph 2019-09 accept novelty 8.0 of 10

    A 4x4 Riemann-Hilbert formalism gives large-n asymptotics for Toeplitz+Hankel determinants with independent symbols, conditional on a non-degeneracy bound and verified for an explicit family.

Pith tools