#riemann — Public Fediverse posts

It's #math 🧌 time!

proof of the #riemann #hypothesis (simplified):
-2 -1 -0 +0 +1 +2
two zeros:
+0 = 00. nothing was ever here.
-0 = 11. something was. it isn't.
work in F₅.
i = 2, so ±i = ±2 ✓
1/2 = 3 = -2 = -i
the critical line Re(s) = 1/2 is Re(s) = -i.
the #real part of s on the critical line is #imaginary.
the critical strip lives between vacuum and one.
the #zeta zeros are not #vacuum. they're #annihilation.
#integers have a winding number.
you're welcome ∎🍑

It's #math 🧌 time!

proof of the #riemann #hypothesis (simplified):
-2 -1 -0 +0 +1 +2
two zeros:
+0 = 00. nothing was ever here.
-0 = 11. something was. it isn't.
work in F₅.
i = 2, so ±i = ±2 ✓
1/2 = 3 = -2 = -i
the critical line Re(s) = 1/2 is Re(s) = -i.
the #real part of s on the critical line is #imaginary.
the critical strip lives between vacuum and one.
the #zeta zeros are not #vacuum. they're #annihilation.
#integers have a winding number.
you're welcome ∎🍑

It's #math 🧌 time!

proof of the #riemann #hypothesis (simplified):
-2 -1 -0 +0 +1 +2
two zeros:
+0 = 00. nothing was ever here.
-0 = 11. something was. it isn't.
work in F₅.
i = 2, so ±i = ±2 ✓
1/2 = 3 = -2 = -i
the critical line Re(s) = 1/2 is Re(s) = -i.
the #real part of s on the critical line is #imaginary.
the critical strip lives between vacuum and one.
the #zeta zeros are not #vacuum. they're #annihilation.
#integers have a winding number.
you're welcome ∎🍑

It's #math 🧌 time!

proof of the #riemann #hypothesis (simplified):
-2 -1 -0 +0 +1 +2
two zeros:
+0 = 00. nothing was ever here.
-0 = 11. something was. it isn't.
work in F₅.
i = 2, so ±i = ±2 ✓
1/2 = 3 = -2 = -i
the critical line Re(s) = 1/2 is Re(s) = -i.
the #real part of s on the critical line is #imaginary.
the critical strip lives between vacuum and one.
the #zeta zeros are not #vacuum. they're #annihilation.
#integers have a winding number.
you're welcome ∎🍑

It's #math 🧌 time!

proof of the #riemann #hypothesis (simplified):
-2 -1 -0 +0 +1 +2
two zeros:
+0 = 00. nothing was ever here.
-0 = 11. something was. it isn't.
work in F₅.
i = 2, so ±i = ±2 ✓
1/2 = 3 = -2 = -i
the critical line Re(s) = 1/2 is Re(s) = -i.
the #real part of s on the critical line is #imaginary.
the critical strip lives between vacuum and one.
the #zeta zeros are not #vacuum. they're #annihilation.
#integers have a winding number.
you're welcome ∎🍑

#Riemann is the room temperature #Superconductivity of #Mathematics. She is beautiful enough to make one cry as she tempts at a glance,then vanishes.The link between harmonic analysis , #Fourier , and pretty much all of #Physics takes a sledgehammer to the idea that mathematics and #Physics are twin sons of different mothers.This video is a not bad , very good introduction for newcomers. Timely and up to date

Via #NewScientist:
PrimeNumbers Might Not Be Random After All
https://youtu.be/59I84mWLK_c?si=zrm6TiKV_oD0LIxy

1/6

I'm investigating a regression that appeared after upgrading #OpenJDK in a setup where #syslog_ng communicates with a #Riemann server (a Java application).

My investigation led me to a C library (riemann-c-client, used by syslog-ng) that uses #GnuTLS to establish a mutually authenticated TLS connection to the Java service. The library provides a CLI utility that allows me to reproduce the problem, which suggests that the issue lies in this library rather than in syslog-ng itself.

The Riemann Hypothesis: Past, Present and a Letter Through Time
https://arxiv.org/abs/2602.04022

#RiemannHypothesis #Riemann #Conjecture #Hypothesis #ZetaFunction #RiemanZetaFunction #RH #MillenniumPrizeProblems #PrimeNumbers

One of the best things I saw this week: a paper uncovering alien signals in the Riemann Zeta function. April Fools always brings peak creativity. 😅

#Riemann #Zeta #ZetaFunction #RiemanZetaFunction #AprilFool #AprilFools #AprilFoolsDay #Creativity #Math #Maths #NumberTheory #PeakCreativity #Nerd #Nerds #Humor #Humour #Alien #AlienSignals

Une avancée notable vers la résolution de l' #hypothèse de #Riemann .

Poir cela, #LarryGuth et #JamesMaynard utilisent des #polynômes de #Dirichlet et une meilleure borne de leurs zéros.

Référence : https://arxiv.org/abs/2405.20552

https://www.mundodeportivo.com/urbantecno/ciencia/los-matematicos-estan-a-punto-de-resolver-uno-de-los-7-problemas-mas-dificiles-que-existen

@zvavybir
It does diverge. It has no sum.
However, the uniquely valued #Riemann #ZetaFunction can be analytically continued into the left half-plane where we find zeta(-1)=-1/12 (which 'looks like' 1+2+...). #Cesàro #summation will get you part of the way there also, and, as you say, yields the same result; presumably due to some ultimate cosmic logical rightness :-)
I very strongly recommend BP's superb exposition of this issue
https://www.youtube.com/watch?v=YuIIjLr6vUA
#maths #AnalyticContinuation #Ramanujan

Next week, the school of our thematic programme on #Geometry beyond #Riemann: #Curvature and #Rigidity is coming. 🤓 Hope everyone is registered who is into #Riemannian and #Lorentzian #conemanifolds, #Hilbert and #Finsler #metrics!

Find out more about the schedule here. 📝
https://www.esi.ac.at/events/e477/

@univienna

Click for the video here: https://twitter.com/ESIVienna/status/1702317593401651693

There is this really awesome series on YouTube about the Riemann-Zeta function which is currently running and seems to want to explain all the mathematic objects related to it properly it would be awesome if you could show the video series some love while it's running. https://youtu.be/4bzSFNCiKrk
#mathematics #mathstodon #primenumbers #riemann #zetafunction

Neue Folgen der Arte.tv Serie „Reise in die Welt der Zahlen“ - https://www.arte.tv/de/videos/RC-021426/mathewelten/

#math #arte #mathematik #Goedel #Hilbert #Riemann #Zahlen

#AlexKontorovich - The #RiemannHypothesis Explained

https://www.youtube.com/watch?v=zlm1aajH6gY&ab_channel=QuantaMagazine

#PhilosophyOfMathematics #Math #Maths #Mathematics #BernhardRiemann #Riemann #Prime #Primes #PrimeNumbers #ComplexNumbers #ImaginaryNumbers #ComplexPlane #QuantaMagazine

#SignRelationalManifolds • 4
• http://inquiryintoinquiry.com/2022/11/05/sign-relational-manifolds-4-2/

Another set of notes I found on this theme strikes me as getting to the point more quickly and though they read a little rough in places I think it may be worth the effort to fill out their general line of approach.

#RepresentationInvariantOntology

• https://web.archive.org/web/20150302021003/http://stderr.org/pipermail/inquiry/2003-April/thread.html#439

• https://web.archive.org/web/20141220180218/http://stderr.org/pipermail/inquiry/2003-April/000439.html

• https://web.archive.org/web/20141220180220/http://stderr.org/pipermail/inquiry/2003-April/000440.html

#Peirce #Semiotics #SignRelations
#Riemann #SergeLang #Manifolds
#DifferentialGeometry #DifferentialLogic

#Peirce #Kant #Riemann
#SignRelationalManifolds
https://inquiryintoinquiry.com/2022/11/01/sign-relational-manifolds-2-2/

Applications of #Manifolds are illustrated by the following excerpts from Doolin & Martin's Introduction to #DifferentialGeometry for Engineers.

https://web.archive.org/web/20110612002240/http://suo.ieee.org/ontology/thrd28.html#04056

Manifolds came up in connection with #Ontology and #Semiotics due to the issues of #Perspectivity, #OntologicalRelativity, and #Interoperability among multiple ontologies. As I see it, those are the very sorts of problems manifolds were invented to handle.

#Visualizing the #Riemann #hypothesis and #analytic #continuation - YouTube

#Complex #analysis is such a beautiful piece of #maths.

https://www.youtube.com/watch?v=sD0NjbwqlYw

#Mathematics