months and years of man-hours spent factoring polynomials with still no known practical use
April 3, 2026 at 11:46 PM
months and years of man-hours spent factoring polynomials with still no known practical use
Polynomials
August 3, 2024 at 11:12 PM
Polynomials
Polynomials are cool. I like polynomials.
December 11, 2024 at 10:18 AM
Polynomials are cool. I like polynomials.
May 28, 2026 at 3:38 PM
May 28, 2026 at 3:38 PM
Polynomials > boys
Wearing a beaming smile as I realize I might be taking algebraic geometry in the fall
April 3, 2024 at 2:15 PM
Polynomials > boys
factor polynomials
October 5, 2023 at 2:15 PM
factor polynomials
I love polynomials
August 15, 2025 at 5:41 PM
I love polynomials
Claims assessor is here. I am making dinner while Kid explains cubic polynomials at me
May 4, 2026 at 8:20 AM
Claims assessor is here. I am making dinner while Kid explains cubic polynomials at me
Man I love thinking about polynomials
April 26, 2025 at 7:14 PM
Man I love thinking about polynomials
polynomials are the only good functions
what function is the biggest jumpscare to you. i'll go first, clear choice for me at least it's obviously the gamma function.
March 12, 2026 at 11:39 PM
polynomials are the only good functions
Woke up thinking about polynomials
October 27, 2024 at 2:19 PM
Woke up thinking about polynomials
Wow, more progress on the Riemann zeta function! We know in our bones that for all positive integers n,
ζ(n) = 1⁻ⁿ + 2⁻ⁿ + 3⁻ⁿ + ⋯
is irrational. But it's only been proved for n even, n = 3, .... and now, it seems, n = 5. This may seem small, but it's huge.
zenodo.org/records/2282...
ζ(n) = 1⁻ⁿ + 2⁻ⁿ + 3⁻ⁿ + ⋯
is irrational. But it's only been proved for n even, n = 3, .... and now, it seems, n = 5. This may seem small, but it's huge.
zenodo.org/records/2282...
ζ(5) is irrational
We prove that ζ(5) is irrational. The proof constructs integer polynomials Qₙ of degree 37n with 0 < Qₙ(ζ(5)) < exp(−139n²/5) for all sufficiently large n. These polynomials are rationally normalized ...
zenodo.org
September 24, 2026 at 2:27 PM
Wow, more progress on the Riemann zeta function! We know in our bones that for all positive integers n,
ζ(n) = 1⁻ⁿ + 2⁻ⁿ + 3⁻ⁿ + ⋯
is irrational. But it's only been proved for n even, n = 3, .... and now, it seems, n = 5. This may seem small, but it's huge.
zenodo.org/records/2282...
ζ(n) = 1⁻ⁿ + 2⁻ⁿ + 3⁻ⁿ + ⋯
is irrational. But it's only been proved for n even, n = 3, .... and now, it seems, n = 5. This may seem small, but it's huge.
zenodo.org/records/2282...
I've added an appendix to my "Enough Polynomials and Linear Algebra to Implement Kyber" article with the little extra needed to implement Dilithium/ML-DSA.
Maybe I'll stream an ML-DSA implementation tomorrow at www.twitch.tv/filosottile.
Maybe I'll stream an ML-DSA implementation tomorrow at www.twitch.tv/filosottile.
Enough Polynomials and Linear Algebra to Implement Kyber
How much linear algebra and polynomials do you need to know to implement Kyber? Turns out, very little!
words.filippo.io
October 26, 2025 at 12:55 AM
I've added an appendix to my "Enough Polynomials and Linear Algebra to Implement Kyber" article with the little extra needed to implement Dilithium/ML-DSA.
Maybe I'll stream an ML-DSA implementation tomorrow at www.twitch.tv/filosottile.
Maybe I'll stream an ML-DSA implementation tomorrow at www.twitch.tv/filosottile.
Oh no the refs angered Michigan grads re: polynomials
do you not understand parabolas, ref?
February 22, 2026 at 1:43 AM
Oh no the refs angered Michigan grads re: polynomials
polynomials? no thanks I'd rather make sure my lovers eat
November 23, 2024 at 3:10 AM
polynomials? no thanks I'd rather make sure my lovers eat
does anyone really remember how to long divide polynomials
Me: 5 years old and learning about division
Me: 40 years old and somehow still learning about division
Me: 40 years old and somehow still learning about division
August 20, 2025 at 10:31 AM
does anyone really remember how to long divide polynomials
Making progress on this piece, won’t be much longer now. This drawing is about the awesome power of polynomials at approximating things, can you spot it?
March 1, 2026 at 12:31 AM
Making progress on this piece, won’t be much longer now. This drawing is about the awesome power of polynomials at approximating things, can you spot it?
April 19, 2025 at 6:59 PM
April 13, 2025 at 9:22 PM
I love polynomials
September 21, 2025 at 9:01 PM
I love polynomials
Why yes I am going to include this drawing in my lecture about Taylor polynomials
Exciting news, I finished a drawing!
I still actually haven’t decided on a name yet, but I might call it Taylor’s Theorem. I am however open to (good) suggestions (emphasis on good)
I still actually haven’t decided on a name yet, but I might call it Taylor’s Theorem. I am however open to (good) suggestions (emphasis on good)
May 10, 2026 at 10:19 PM
Why yes I am going to include this drawing in my lecture about Taylor polynomials
Seen in the wild. Friends don't let friends fit interrupted time series with segmented polynomials.
February 14, 2025 at 6:46 AM
Seen in the wild. Friends don't let friends fit interrupted time series with segmented polynomials.
Exploring the roots of 177,147 polynomials with coefficients in {-1, 0, 1}
Each dot represents a root of a degree-10 polynomial, w/ brightness revealing its frequency across all polynomials constrained to [-1.6, 1.6] × [-1.6, 1.6].
#p5js #MathArt #VisualMath #SciArt #CreativeCoding #Mathematics
Each dot represents a root of a degree-10 polynomial, w/ brightness revealing its frequency across all polynomials constrained to [-1.6, 1.6] × [-1.6, 1.6].
#p5js #MathArt #VisualMath #SciArt #CreativeCoding #Mathematics
May 16, 2025 at 10:08 PM
Exploring the roots of 177,147 polynomials with coefficients in {-1, 0, 1}
Each dot represents a root of a degree-10 polynomial, w/ brightness revealing its frequency across all polynomials constrained to [-1.6, 1.6] × [-1.6, 1.6].
#p5js #MathArt #VisualMath #SciArt #CreativeCoding #Mathematics
Each dot represents a root of a degree-10 polynomial, w/ brightness revealing its frequency across all polynomials constrained to [-1.6, 1.6] × [-1.6, 1.6].
#p5js #MathArt #VisualMath #SciArt #CreativeCoding #Mathematics
real analysis is a scam because polynomials and their quotients are the only reasonable functions. just do calculus like a normal person
April 14, 2026 at 6:31 PM
real analysis is a scam because polynomials and their quotients are the only reasonable functions. just do calculus like a normal person