Möbius Function - Merten's conjecture
Loading...
Loading...
2,112
Loading...
9:40
Möbius Function - Introductionby donylee2,766 views- 7:02
Möbius Function - Identities and Mobidromesby donylee1,400 views
- 6:11
Möbius Function - Merten's functionby donylee768 views
- 2:24
The Quasicrystalline Conjectureby rufus161803398875,329 views
- 2:49
twin primes conjecture songby bugmenotaccount3,734 views
- 1:24
Collatz Conjecture Sequence Lengthsby devrand1810 views
- 6:30
Theory Of Everything - The Goldbach Conjectureby protheory7,239 views
- 4:27
The Poincaré Conjectureby rayuwish55,217 views
- 2:21
On a Conjecture of Alonby JournalNumberTheory1,350 views
- 2:16
NOVA scienceNOW | Twin Prime Conjecture | PBSby PBS62,147 views
- 0:53
The Analogue of Erdős-Turán Conjecture in Zm*by JournalNumberTheory4,061 views
- 6:59
Identify Patterns and Make Conjecturesby TenMarksInstructor835 views
- 10:01
Eureka! Another elementary proof of the goldbach conjecture!by elias121862,332 views
- 6:08
Último Teorema de Fermat - Documental BBC (Español) Parte 5/5by volunteersimplicity72,892 views
- 2:34
Moebius Transformations Revealedby jonathanrogness1,885,590 views
- 8:23
Geometry: 2-3: Using Deductive Reasoning to Verify Conjecturesby sirtylertarver2,061 views
- 4:59
A proof of twin prime conjectureby stevechung99713 views
- 0:25
4-Dimensional Rotationby TheHeadlessIndian54,348 views
- 0:12
Mertens Conjectureby wolframmathematica92 views
- 4:36
GEMM 55 Math and Schroedinger's Catby aeinstein19041,177 views
@Blackmaildesigns at least you are honest with yourself. i don't understand any of this.
TheSonjaxfactor 1 year ago
ah apologies. I didn't watch the video pertaining to Merten's Function.
R1ckr011 1 year ago
Pretty fascinating stuff. You've impressed me. However: why isn't the sum of the Möbius function 0?
R1ckr011 1 year ago
It must suck for people like this guy to have to live in a world with people like, well, me, who probably think he is just talking nonsense. I understand from your comments that he is brilliant. But it's truly amazing to go through life as a pretty bright guy and yet be so bewildered by another human's intellect.
Congratulations to you all - respect.
Blackmaildesigns 1 year ago
wow . . . what? O_O
zwartkatdre 2 years ago
Additionally, a certain assertion on the Mertens function's rate of growth is exactly equivalent to the Riemann Hypothesis.
Finally, one of my own observations (which is easily derived from Ramanujan's sum for the Mobius function) is that the Mertens function is exactly equal to the sum of the cosine function at points corresponding to fractions of one wavelength that are in the Farey sequence of order n.
Kenyai 3 years ago
This is a great video. Just in case anyone was wondering, the Mobius function mu(n) is defined in this way:
It is equal to 0 if n is divisible by a perfect square greater than 1.
It is equal to 1 if n is the product of an even number of distinct prime numbers.
(Note that mu(1) = 1)
It is equal to -1 if n is the product of an odd number of distinct prime numbers.
Kenyai 3 years ago
i get it now thanks
gniziemazity 4 years ago
cause he's not graphing the absolute value, so if abs(f)<1 then -1<f<1 .
alphachapmtl 4 years ago
this is very interesting, i have a question still, if you use the absolute values of the function, shouldn't the graphic be only above 0?
gniziemazity 4 years ago