Hawaii Conjecture Through the Lens of Cauchy Indices

Given a real polynomial $$p$$ , we study some properties of real critical points of its logarithmic derivative $$Q[p]=(p^{\prime}/p)^{\prime}$$ using the theory of Cauchy indices. As a by-product, we improve the lower bound for the number of these points.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-09-01
DOI
https://doi.org/10.1134/s1995080225610951
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
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article

Hawaii Conjecture Through the Lens of Cauchy Indices

M. Tyaglov, D. Gnatuyk
Lobachevskii Journal of Mathematics
Meromorphic and Entire Functions
article

Hawaii Conjecture Through the Lens of Cauchy Indices

M. Tyaglov, D. Gnatuyk
article en

Abstract

Given a real polynomial $$p$$ , we study some properties of real critical points of its logarithmic derivative $$Q[p]=(p^{\prime}/p)^{\prime}$$ using the theory of Cauchy indices. As a by-product, we improve the lower bound for the number of these points.

Lobachevskii Journal of MathematicsVol. 46(9)
St Petersburg University (RU)
Openalex Percentile: Top 20%
Meromorphic and Entire Functions
DOISourceOpenAlex
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Hawaii Conjecture Through the Lens of Cauchy Indices — M. Tyaglov, D. Gnatuyk · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS