Hey buds

>>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.

Inter-universal Teichmüller theory

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

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

File: nt.png (67KB, 1564x282px) Image search: [Google]

67KB, 1564x282px

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

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

Why do you do this to yourself

>>8653893

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

>>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.

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

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

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

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

File: pi-1.jpg (59KB, 639x388px) Image search: [Google]

59KB, 639x388px

>>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?

>>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.

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

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

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

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

>>8654049
shut UP!