Notes on asymptotic eigenvalues distribution on complex circles
arXiv:1807.065281 citationsh-index: 9
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It provides a theoretical bridge between number theory and linear algebra for researchers in asymptotic spectral analysis.
The paper connects the distribution of Frobenius roots in Zeta functions on curves over finite fields with spectral distributions in linear algebra, using measure theory and matrix sequence symbols.
With tools of measure theory and symbols of matrix sequences, we explore the results regarding curves on finite fields and Weil Systems. This document wants to draw a bridge between the two areas and link the concepts of distribution of Frobenius roots in the context of Zeta functions on curves, with the spectral distributions already studied in linear algebra.