#Polynomials
you can fit polynomials to any data with enough polynomials
November 9, 2026 at 11:31 PM
In #MathsToday, a student remarked on how comparing coefficients of polynomials felt very like comparing components of vectors.

My work here is done.

#ALevelMaths #UKMathsChat #ITeachMaths
November 5, 2026 at 6:41 PM
Yi Li: A Moment Proof of the Hollman-Xiang Conjectures on Kloosterman Polynomials https://arxiv.org/abs/2611.13848 https://arxiv.org/pdf/2611.13848 https://arxiv.org/html/2611.13848
November 11, 2026 at 6:49 AM
Tonight me and my students are working on polynomials.
November 5, 2026 at 10:58 PM
Ruikai Chen: Permutation polynomials from quadratic and linear forms https://arxiv.org/abs/2611.09629 https://arxiv.org/pdf/2611.09629 https://arxiv.org/html/2611.09629
November 9, 2026 at 6:49 AM
Saeed Tafazolian, Jaap Top: A Complete Classification of Maximal Hyperelliptic Curves Related to Chebyshev Polynomials https://arxiv.org/abs/2611.14198 https://arxiv.org/pdf/2611.14198 https://arxiv.org/html/2611.14198
November 11, 2026 at 6:49 AM
I got something really cool but I don't think I proved Zaremba's conjecture for polynomials over finite fields...... yet. (Growth mindset 🌱)
November 5, 2026 at 3:30 PM
Borys Kadets, Dan Mangoubi: Root sharing and $2$-adic interpolation for Legendre polynomials https://arxiv.org/abs/2611.09312 https://arxiv.org/pdf/2611.09312 https://arxiv.org/html/2611.09312
November 9, 2026 at 6:49 AM
I'm surprised nobody at the previous job told us "just evaluate the polynomials using horner's method"
November 5, 2026 at 4:16 AM
Yu Pan - Augmentations and ruling polynomials - IPAM at UCLA
Institute for Pure & Applied Mathematics (IPAM)
youtu.be/uKJ1YEYhFYM?...
Yu Pan - Augmentations and ruling polynomials - IPAM at UCLA
YouTube video by Institute for Pure & Applied Mathematics (IPAM)
youtu.be
November 10, 2026 at 3:29 AM
you know how some kids will turn anything into Pokemon, well this is my Pokemon. gotta catch em all (infinite polynomials)
November 5, 2026 at 6:39 PM
Ruikai Chen
Permutation polynomials from quadratic and linear forms
https://arxiv.org/abs/2611.09629
November 9, 2026 at 10:44 AM
It feels like when you learn that vector spaces are a general thing. It smells like polynomials are vectors actually and the basis power vector well is the basis of the space of numbers econded in base-2
November 10, 2026 at 12:13 PM
Borys Kadets, Dan Mangoubi
Root sharing and $2$-adic interpolation for Legendre polynomials
https://arxiv.org/abs/2611.09312
November 9, 2026 at 12:46 PM
Alessandro Vegnuti: Solving polynomials in large pseudo-finite sets https://arxiv.org/abs/2611.08211 https://arxiv.org/pdf/2611.08211 https://arxiv.org/html/2611.08211
November 6, 2026 at 6:48 AM
Manjul Bhargava, Sameera Vemulapalli
The existence of small defining polynomials for number fields, II
https://arxiv.org/abs/2611.09031
November 9, 2026 at 12:48 PM
Erik Lundberg, Zvi Rosen, Teng Zhang: On the number of zeros of polyanalytic polynomials https://arxiv.org/abs/2611.13278 https://arxiv.org/pdf/2611.13278 https://arxiv.org/html/2611.13278
November 11, 2026 at 6:47 AM
An Editors' Pick via #OPG_OL: Fast eighth-order Padé schemes based on Chebyshev polynomials for the direct Zakharov–Shabat problem https://bit.ly/4sEogti #SignalProcessing #InverseScattering 💡⚛️
November 9, 2026 at 10:38 PM
Yosuke Kawamoto, Genki Shibukawa: Transforms between multivariate Laguerre and Meixner polynomials and their applications to gateways https://arxiv.org/abs/2611.13932 https://arxiv.org/pdf/2611.13932 https://arxiv.org/html/2611.13932
November 11, 2026 at 6:50 AM
Integral zeros of Krawtchouk polynomials and quantum entanglements
https://arxiv.org/pdf/2611.08518
Jaeseong Heo, Young-Hoon Kiem, Chul-hee Lee.
https://arxiv.org/abs/2611.08518
arXiv abstract link
arxiv.org
November 9, 2026 at 9:30 PM
Manjul Bhargava, Sameera Vemulapalli: The existence of small defining polynomials for number fields, II https://arxiv.org/abs/2611.09031 https://arxiv.org/pdf/2611.09031 https://arxiv.org/html/2611.09031
November 9, 2026 at 6:49 AM
Bernat Espigule: The closure of the nonreal roots of bounded-height polynomials is connected exactly at pronic heights https://arxiv.org/abs/2611.14517 https://arxiv.org/pdf/2611.14517 https://arxiv.org/html/2611.14517
November 11, 2026 at 6:47 AM
Jaeseong Heo, Young-Hoon Kiem, Chul-hee Lee: Integral zeros of Krawtchouk polynomials and quantum entanglements https://arxiv.org/abs/2611.08518 https://arxiv.org/pdf/2611.08518 https://arxiv.org/html/2611.08518
November 9, 2026 at 6:59 AM
Next lecture on modeling gene regulatory networks in my Intro to Math Modeling class @ucsdphysci.bsky.social @ucsandiego.bsky.social: fields, rings, ideals, and the ring of polynomials over F₂.
November 5, 2026 at 6:38 PM
As for combining polynomials if you had a tamper machine at the mayoracha factory this could indeed be the precursors to a quote sticky situation.
November 7, 2026 at 9:13 PM