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(Quanta Magazine)   Numerical mystery from the 19th century finally gets solved. Like a Gauss   (quantamagazine.org) divider line
    More: Spiffy, Prime number, Mathematics, Number theory, curious mathematical sums, cubic Gauss sums, quadratic Gauss sums, Brown University, Roger Heath-Brown  
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1138 clicks; posted to STEM » on 15 Aug 2022 at 2:13 PM (6 weeks ago)   |   Favorite    |   share:  Share on Twitter share via Email Share on Facebook



14 Comments     (+0 »)
View Voting Results: Smartest and Funniest
 
2022-08-15 1:59:59 PM  
IWasToldThereWouldBeNoMath.jpg
 
2022-08-15 2:27:58 PM  
"After plowing through 45 sums, corresponding to the first 45 non-trivial prime numbers, Kummer finally gave up."

That wasn't as fast as I gave up on that article. I now recall why I struggled with maths in the high school.
 
2022-08-15 2:31:46 PM  
Gauss would choose some prime number p, then sum up numbers of the form $latex e^{\frac{2iπn^2}{p}}$.


Aaaaaand I'm out.
 
2022-08-15 4:00:14 PM  
If that's supposed to rhyme with boss then you really don't know how to pronounce Gauss.
 
2022-08-15 4:46:06 PM  
"...And I was wrong - not for the first time."

That is the humility of a science/math outlook.  Richard Feynman was notorious for getting questioners to 1. Putting the problem into maths, and 2. To keep on simplifying the math.
 
2022-08-15 5:35:13 PM  

assjuice: If that's supposed to rhyme with boss then you really don't know how to pronounce Gauss.


If you know the Lonely Island song, it is closer to rhyming with Sowce (sauce, but a hard 'o' instead of 'ah').

Which admittedly is still a feminine rhyme, but closer.
 
2022-08-15 7:18:20 PM  

Quantumbunny: assjuice: If that's supposed to rhyme with boss then you really don't know how to pronounce Gauss.

If you know the Lonely Island song, it is closer to rhyming with Sowce (sauce, but a hard 'o' instead of 'ah').

Which admittedly is still a feminine rhyme, but closer.


Isn't it like mouse?
 
2022-08-15 7:34:51 PM  
The proof assumes the Riemann hypothesis is true? Kinda weird...
 
2022-08-15 10:07:00 PM  

covfefe: Quantumbunny: assjuice: If that's supposed to rhyme with boss then you really don't know how to pronounce Gauss.

If you know the Lonely Island song, it is closer to rhyming with Sowce (sauce, but a hard 'o' instead of 'ah').

Which admittedly is still a feminine rhyme, but closer.

Isn't it like mouse?


I found something that rhymes with Gauss: degauss.
 
2022-08-15 11:34:14 PM  
It sounds like "Gaos". Like the nemesis of Gamera. Who BTW, is a friend to all children.

Worse by far is Eular. People say it uler like ruler. But it's really "oiler".
 
2022-08-15 11:38:48 PM  

Pointy Tail of Satan: It sounds like "Gaos". Like the nemesis of Gamera. Who BTW, is a friend to all children.

Worse by far is Eular. People say it uler like ruler. But it's really "oiler".


Wait until you hear someone from Denmark pronounce Tycho Brahe.
I couldn't recognize a single syllable.
 
2022-08-16 12:42:31 AM  
So, I read this article and sent the following message to a friend:


There's such a thing as a trivial prime?!?!? I'm sorry, it's late, I got THC running through my brain, and I'm reading an article in Quanta Magazine, and it says "Selberg programmed it to calculate the cubic Gauss sums for all the non-trivial primes less than 10,000 - around 600 sums in all. " And I'm all like, "I beg your pardon, good sirs. I was misinformed as to the nature of prime numbers. I thought they were all important." And I just...the only human I know who would GET this and might possibly think this is funny is you. You don't even have to answer this. I just want you to know that knowing you makes me very, very happy.


I just couldn't get over that.
 
2022-08-16 12:09:58 PM  

Calamity Gin: So, I read this article and sent the following message to a friend:


There's such a thing as a trivial prime?!?!? I'm sorry, it's late, I got THC running through my brain, and I'm reading an article in Quanta Magazine, and it says "Selberg programmed it to calculate the cubic Gauss sums for all the non-trivial primes less than 10,000 - around 600 sums in all. " And I'm all like, "I beg your pardon, good sirs. I was misinformed as to the nature of prime numbers. I thought they were all important." And I just...the only human I know who would GET this and might possibly think this is funny is you. You don't even have to answer this. I just want you to know that knowing you makes me very, very happy.

I just couldn't get over that.


I didn't think there were any "non-trivial primes less than 10,000".  Aren't non-trivial primes, like, the really long ones used in cryptography that once you multiply them together you can never factor them out again?
 
2022-08-16 7:49:42 PM  
You know more than I do, good poster.
 
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