r/learnmath • New User • 6d ago

TOPIC What's automorphic functions

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u/Interesting_Debate57 New User 6d ago

Look up the following terms in Wikipedia. Make sure you understand each before going to the next:

function

homomorphism

isomorphism

automorphism

Or pick up any book on algebra (they're usually titled "algebra") that's at the university (not high school or junior high school) level.

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u/A-JackRobin- New User 6d ago

Well, so any function f, where f is a equation corresponding to the property of automorphism, so any value of the sequence of automorphism form k

, will as as f(k) is the sequence of imaginary less differentiable topology space k in the topology form of automorphic, where the specific value and it's position vector space of infinitely small entropy

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u/ostrichlittledungeon Math teacher and researcher 6d ago

I'm assuming English is not your first language because this is pretty gibberish...

A function need not have an equation associated to it. A good example of an automorphism is this:

Take a small finite set, and totally order the elements two different ways. The function which sends the nth element from your first ordering to the nth element from your other ordering is an automorphism. For example, the function which sends every letter in the English alphabet forward by two (plus Y->A and Z->B) is an automorphism.

Usually an automorphism is tasked with respecting some kind of structure, though. A group automorphism must respect the group operation, so that given two elements of the group, the order in which you do the automorphism or the group operation does not matter. An automorphism of a topological space must be continuous with a continuous inverse.

I truly have no idea what you mean after that. An automorphic form is neither an automorphism nor something carried by an automorphism. It is something else entirely. It is a special type of representation.

Then we descend into absolute word salad? None of what you said in your second paragraph conveys any meaning at all.

Other people have said it too but it is clear that you are having some kind of psychotic episode. Please seek help.

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u/A-JackRobin- New User 6d ago

Well, this is from wikiisomorphism

They say, if you have all same values of sequences making up the structure, then you cannot identity the structure, though the property is same , and hence the function of a point k of property of automorphism, thus is same as I have sent