#Riemann's
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normalguymike.bsky.social
I'm not a mathematician but there is such a thing as experimental math in the sense that you form a hypothesis and then try to prove it right or wrong. Like Riemann's zeta hypothesis, for example.
December 16, 2025 at 8:16 PM
monniauxd.bsky.social
Ah, yes, that is akin to criticizing Riemann's integral in order to propose Lebesgue's, indeed.
December 13, 2025 at 5:02 PM
monniauxd.bsky.social
Mmh. Why did Lebesgue publish his definition for the integral? Because previous definitions, such as Riemann's, were criticized, right?
December 13, 2025 at 4:12 PM
fideldestro.bsky.social
No mortal could work their way through that 3rd paragraph. There is no reason for this to be the head of the article. This is so impenetrable that someone would just go... "Oh, right. Fuck math." Maybe it can't be explained to laymen, but.... try.
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined as ζ ( s ) = ∑ n = 1 ∞ 1 n s = 1 1 s + 1 2 s + 1 3 s + ⋯ {\displaystyle \zeta (s)=\sum _{n=1}^{\infty }{\frac {1}{n^{s}}}={\frac {1}{1^{s}}}+{\frac {1}{2^{s}}}+{\frac {1}{3^{s}}}+\cdots } for Re(s) > 1, and its analytic continuation elsewhere.[2] The Riemann zeta function plays a pivotal role in analytic number theory and has applications in physics, probability theory, and applied statistics. Leonhard Euler first introduced and studied the function over the reals in the first half of the eighteenth century. Bernhard Riemann's 1859 article "On the Number of Primes Less Than a Given Magnitude" extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation, and established a relation between its zeros and the distribution of prime numbers. This paper also contained the Riemann hypothesis, a conjecture about the distribution of complex zeros of the Riemann zeta function that many mathematicians consider the most important unsolved problem in pure mathematics.[3] The values of the Riemann zeta function at even positive integers were computed by Euler. The first of them, ζ(2), provides a solution to the Basel problem. In 1979 Roger Apéry proved the irrationality of ζ(3). The values at negative integer points, also found by Euler, are rational numbers and play an important role in the theory of modular forms. Many generalizations of the Riemann zeta function, such as Dirichlet series, Dirichlet L-functions and L-functions, are known.
December 4, 2025 at 6:55 AM
tesseract.bsky.gay
i'll be expecting your proof of riemann's integration theorem by monday, latex template available if needed
November 27, 2025 at 6:20 PM
danielketter.com
The first to come to mind for me is Victor Goldschmidt, “Harmony and Complication” or to be honest Jean Philippe Rameau. I’ll toss Riemann’s “undertone” fantasy in the heap. It’s to some extent cranks all the way down
November 24, 2025 at 4:08 AM
math.blaze.email
Student projects in complex function theory – The Prime Number Theorem and Riemann’s paper

https://noncommutativeanalysis.wordpress.com/2025/11/22/student-projects-in-complex-function-theory-the-prime-number-theorem-and-riemanns-paper/

#math #mathematics
Student projects in complex function theory – The Prime Number Theorem and Riemann’s paper
Summary: Final student projects on complex function theory: Prime Number Theorem, Riemann’s paper, and related topics presented as videos and reports
noncommutativeanalysis.wordpress.com
November 22, 2025 at 9:10 PM
kyungguk.com
“The term ‘manifold’ comes from Riemann’s Mannigfaltigkeit, which is German for variety or multiplicity.”

www.quantamagazine.org/what-is-a-ma...
What Is a Manifold? | Quanta Magazine
In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.
www.quantamagazine.org
November 8, 2025 at 12:14 AM
pier8bob.bsky.social
Bernhard Riemann's great discovery allowed mathematicians to explore higher-dimensional spaces — leading to the birth of modern topology and a paradigm-shifting new theory of gravity: general relativity.

www.quantamagazine.org/what-is-a-ma...
What Is a Manifold? | Quanta Magazine
In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.
www.quantamagazine.org
November 3, 2025 at 5:26 PM
clairecsmith.bsky.social
Happy #Riemann's Hypothoween Hallothesis 🧙‍♂️🪄 🎃 !

Have A Non Trivial #Halloween2025
Link to longer version from yrs ago
drive.google.com/file/d/1wN0J...
Link to Twitter/X version yrs back (other platform)
pic.x.com/ID3gA2rDRs
#Halloween
#Riemann's #Hypothesis
#Mathematics
#Hall🎃oween #HappyHalloween
October 31, 2025 at 8:21 PM
graveolens.bsky.social
arxiv.org/abs/2510.21099
/Tessellations of rational complex functions and the Riemann's existence theorem/
Alvaro Alvarez-Parrilla, Roberto Gutiérrez-Soto, Jesús Muciño-Raymundo
October 27, 2025 at 9:24 AM
mathcv-bot.bsky.social
Alvaro Alvarez-Parrilla, Roberto Guti\'errez-Soto, Jes\'us Muci\~no-Raymundo: Tessellations of rational complex functions and the Riemann's existence theorem https://arxiv.org/abs/2510.21099 https://arxiv.org/pdf/2510.21099 https://arxiv.org/html/2510.21099
October 27, 2025 at 6:37 AM
pedaloftheday.bsky.social
Come along with us as we journey into the unknown with the #DiscomfortDesigns Riemann's Grave Octave Bit Crusher Distortion Filter!! Full demo and review on our website and YT channel!!

linktr.ee/pedaloftheday

youtu.be/93QBVQawPrc

#pedaloftheday #guitardemo #guitarpedals
October 16, 2025 at 8:56 PM
pedaloftheday.bsky.social
Here’s the Discomfort Designs Riemann's Grave Octave Bit Crusher Distortion Filter!! This unit opens up new sonic possibilities and re-shaping your approach to musical creation...cheers!l

Demo: youtube.com/@pedaloftheday

Review/Info: www.pedal-of-the-day.com

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October 16, 2025 at 1:18 PM
nixnox191.bsky.social
Topology: Henri Poincaré, Bernhard Riemann’s. Differential Geometry: Riemann’s concepts (Riemannian geometry) and Élie Cartan’s work were crucial for modern physics, particularly Einstein’s theory of relativity.
September 30, 2025 at 6:32 PM
thequinch.bsky.social
Proof of Riemann's conjecture.
September 24, 2025 at 12:32 PM
structures-hd.bsky.social
Learn from our researchers at STRUCTURES about the impact that Riemann's insights have on their own work! 2/2

#Riemann #Mathematics #Physics #Relativity #Hydrodynamics #DataScience
September 17, 2025 at 9:34 AM
structures-hd.bsky.social
We are delighted to celebrate Riemann's birth anniversary by sharing some of the contributions through which he shaped the world of physics and mathematics. 1/2
September 17, 2025 at 9:32 AM
cubiclogic.bsky.social
Georg Friedrich Bernhard Riemann's birthday

mathshistory.st-andrews.ac.uk/Biographies/...
Bernhard Riemann - Biography
Bernhard Riemann's ideas concerning geometry of space had a profound effect on the development of modern theoretical physics. He clarified the notion of integral by defining what we now call the Riema...
mathshistory.st-andrews.ac.uk
September 17, 2025 at 8:26 AM
tseikkis.bsky.social
They're trying to get to intelligence by using a very good autocomplete function trained on the contents of Reddit. It can easily explain high school physics as this is relatively uncontroversial in the data but it's not going to solve Riemann's or even really use logic the way we understand it.
September 13, 2025 at 11:30 AM
timhenke.bsky.social
hot take(?): mathematicians should split up conjectures into two distinct things

I think the type of conjecture that's like "we have decent reason to think this is true, we found tons of examples and no counterexamples, etc." is more appropriately called a hypothesis (like Riemann's)
August 31, 2025 at 1:17 PM
jonathanrheaps.bsky.social
Lonergan on the late-arriving, but nevertheless-radical break of modern natural science from its classical predecessor (from his 1977 response to a Jesuit questionnaire on the state of philosophy):
This rule of empirical verification had ulterior implications. For if Newton, Laplace, Maxwell, not to mention the pamphleteers, expressed no serious doubts about the necessity of natural laws, it remains that Euclid, once assumed to be unique and indubitable, has given way to Riemann's manifold of geometries, Newton has yielded to Einstein, Laplace to Darwinian probabilities of emergence and survival, Maxwell to Heisenberg's principles of uncertainty or indeterminacy. Nor is this simply the rediscovery of the Scholastic distinction between metaphysical and physical necessity. What the empirical scientist discovers is not the intelligibility of what must be but the intelligibility of what may or may not be. For that reason, verification is of the essence of empirical science.
August 22, 2025 at 2:41 PM
mathnt-bot.bsky.social
Jan Moser: Jacob's ladders, our asymptotic formulae (1981) and next $\zeta$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $\zeta$-oscillators https://arxiv.org/abs/2508.10592 https://arxiv.org/pdf/2508.10592 https://arxiv.org/html/2508.10592
August 15, 2025 at 6:39 AM
arxiv-math-nt.bsky.social
Jan Moser
Jacob's ladders, our asymptotic formulae (1981) and next $\zeta$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $\zeta$-oscillators
https://arxiv.org/abs/2508.10592
August 15, 2025 at 5:25 AM