AI Chat AI Image Generator AI Video Text to Speech

Bounding Zolotarev numbers using Faber rational functions

11/26/2019

∙

by Daniel Rubin, et al.

∙

∙

By closely following a construction by Ganelius, we construct Faber rational functions that allow us to derive tight and explicit bounds on Zolotarev numbers.

Daniel Rubin
23 publications
Alex Townsend
27 publications

page 1

page 2

page 3

page 4

research

∙ 02/06/2023

Bounds on the eigenvalues of matrix rational functions

Upper and lower bounds on absolute values of the eigenvalues of a matrix...

0 Pallavi B, et al. ∙

research

∙ 05/06/2020

Recurrence Relations for Values of the Riemann Zeta Function in Odd Integers

It is commonly known that ζ(2(k - 1)) = q_k - 1ζ(2k)/π^2 with known rati...

0 Tobias Kyrion, et al. ∙

research

∙ 11/23/2020

Arithmetic Expression Construction

When can n given numbers be combined using arithmetic operators from a g...

0 Leo Alcock, et al. ∙

research

∙ 05/11/2021

The explicit formula of the distributions of the nonoverlapping words and its applications to statistical tests for random numbers

Bassino et al. 2010 and Regnier et al. 1998 showed the generating functi...

0 Hayato Takahashi, et al. ∙

research

∙ 07/24/2022

AAA interpolation of equispaced data

We propose AAA rational approximation as a method for interpolating or a...

0 Daan Huybrechs, et al. ∙

research

∙ 01/24/2023

Word-Mappings of level 3

Sequences of numbers (either natural integers, or integers or rational) ...

0 G. Sénizergues, et al. ∙

research

∙ 05/26/2022

Exploring General Apéry Limits via the Zudilin-Straub t-transform

Inspired by a recent beautiful construction of Armin Straub and Wadim Zu...

0 Robert Dougherty-Bliss, et al. ∙