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/sci/ - Science & Math


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8653893 No.8653893 [Reply] [Original]

What is your favorite topic in mathematics and why is it Number Theory?

>> No.8653905

>>8653893
Number Theory is good, but it is just a trivial subset of the best topic in mathematics: Algebra.

All questions asked about integers can be generalized into questions about infinite rings.

>> No.8653909

Inter-universal Teichmüller theory

>> No.8653924

>>8653893
Geometry. Almost everything is geometry in some way, shape, or form.

>> No.8653932

>>8653905
there's far more to number theory than integers

>> No.8653948
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8653948

>>8653932
>there's far more to number theory than integers

>> No.8653958

>>8653948
>primarily
>implying there is more than just integers

Why do you do this to yourself

>> No.8653959

>>8653893

Any part of mathematics that I can directly apply to my area of study (cryptography).

>> No.8653960

>>8653932
>there's far more to number theory than integers

Yeah, they also tend to study rational numbers and some structures that are derived from integers.

BIG DEAL

It is still a subset of Algebra. Just like your IQ is a subset of my IQ.

>> No.8653985

>>8653960
how are zeta functions a subset of algebra?

>> No.8654004

>>8653985
Zeta functions are defined by varieties, varieties are defined by rings.

>> No.8654009

>>8654004
>>8654004
>Zeta functions are defined by varieties
[citation needed]

>> No.8654013

>>8654009
>[citation needed]
[citation needed]

>> No.8654043 [DELETED] 

>>8654009
https://en.wikipedia.org/wiki/Arithmetic_zeta_function

>> No.8654049
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8654049

>>8653893
Hey mathfags, can you redpill me on the Collatz Conjecture?

What does it mean? Is it some hidden pattern in numbers? Why can't we crack it?

>> No.8654055

>>8654009
https://en.wikipedia.org/wiki/Arithmetic_zeta_function

I should have said Schemes, (varieties are the case only sometimes), but the point still holds.

>> No.8654120

>>8654055
>all zeta functions are arithmetic zeta functions
wrong, the point doesn't hold

>> No.8654196

>>8654120
All the ones relevant to number theory are.

>> No.8654206

>>8654196
>All the ones relevant to number theory are.
are you even trying?
https://en.wikipedia.org/wiki/List_of_zeta_functions

>> No.8654237

>>8654206
and how many of those have anything to do with number theory?

>> No.8654261

>>8654049
shut UP!