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user19161
5:00 AM
Of course, you need to paste the link right HERE.
 
user19161
Then we can click on it and view it without invading your privacy.
 
user19161
@anon I used up all my votes today, maybe tmr...
 
I jest.
 
user19161
I jasp.
 
user19161
Has Ethan been kidnapped already? LOL
 
5:15 AM
I guess I really am scary.
 
ok here
lol
wtf
 
link works
 
how
 
now we play the unregistered-user-waiting-game
@Ethan by clicking it
 
they all have individual links
should I just post them all?
 
5:21 AM
how many are there?
 
Here il just give you some
look at this one
 
you ain't answerin my questions brah
 
alot but il only send u some
look at that 1
 
you could have .rared them together and uploaded them as one file
 
how
 
5:22 AM
I will teach you the ways of computer if you are willing to listen :-)
are you using windows?
 
ok
i dont know
where am i
 
@Ethan is there a start menu at the bottom? what operating system are you using? what kind of PC / laptop?
 
its a pc
 
do you know what "Windows" is?
 
i dont have a formal definition
 
5:24 AM
Describe the very bottom of your screen.
Is there a bar there with icons and stuff?
 
there you go
the constants to the right are the generalized steijelis constants
 
these are pretty nice
 
they appear in the expansion of the hurrwitz zeta function
 
hardly readable, but I can tell they are nice
 
they show the infitude of primes congruent to 1,3 mod 4, 1,2 mod 3
obv
I have
more
 
5:27 AM
how did youf ind them?
 
Using
this explict
formula
the left are complex polylogarithms
can be evaluated at rational values
as I did on the previous page
I Can prove that one using a fourier series expansion and a little algebra
anon
r u their
 
yes
 
is any of this any goood?
 
are you on chat using a phone bro?
 
n
op
no
how about that identity
thats a picture of my face
 
5:33 AM
why are you posting a picture of your face
 
In your formulas, your denominators are all $p^2-1$
 
yes
there not 1/(p-1)
 
How did you handle that? In your second image, you have terms like $\frac{\Lambda(n)}{n}$, not $\frac{\Lambda(n)}{n-1}$
 
because certain
because certain modular quadratic equations have no solutions in primes, so no even powers show up
so instead of being 1/(p-1) its 1/(p-1)-1/p^2-1
to cancle out even powers
 
My question is not it not being $1/(p-1)$. Rather, I'm curious what your method is to handle $1/(p^2-1)$ or $1/(p-1)$ rather than $1/p^2$ or $1/p$
 
5:36 AM
err
i dnt understand
u wana see some euler products?
i found
 
Ah my bad, nothing.
You did say Hurwitz zeta functions, my bad.
 
I have
 
user19161
@Ethan HAHA, why have you decided to post yourself here? =)
 
y not
I have some awsome identitys for the hurrwitz zeta function
il upload some euler products I found also
m(n) is any completely multiplictive function, and the others are divisor functions and varrients
 
user19161
Gee, I now have a feeling this is all staged by anon and that ethan=anon. =)
 
5:39 AM
is any of my work good?
can someone give me some advice
A_k are eulerian polynomials
 
the last one in that picture is due to ramanujan
is youz trollin
 
no
 
user19161
Geezis, am I talking to the new Ramanujan?
 
want the case
for 3 differentant
divisor functions
 
but yes these are nice identities
 
5:41 AM
it cant be evaluated in terms of thezeta function
but it has a huge euler product
 
you will not be able to publish them without learning how to write, and then learning how to write papers in particular. ;)
 
is any of it worth publishing though
I have some much stronger identitys
I just dnt want
to post
 
user19161
@Ethan identities =)
 
ona
 
the ones on that last page though are closer to the level of textbook exercises
 
5:43 AM
The identities you posted so far are known I think, although if you have new methods of showing them, it might be interesting..
 
oh comeon the first few those cant be
 
The best way to get comments on your work though, is not to go on some random online chatrooms and talk to random people; go find a nearby university and talk to an analytic number theorist.
 
user19161
How long did you take to do all this @ethan?
 
last year
my
10th grade
year
 
user19161
And you picked up number theory on your own from where?
 
5:45 AM
I have books
sanchez but they wont wan to talk to a 17 yr old
will they?
 
user19161
@Ethan Just show them your paper.
 
ok here
 
Honestly, at least half of these seem to be about at the level of graduate textbook exercises. Which is of course publishable most likely if they are new, and even if not they are publishable as some sort of undergrad research thingie most likely.
 
user19161
If you are sincere about it, I am sure they will see you at least once...
 
So this is way above what a normal 10th grader can do.
 
5:46 AM
look at this integral
this isnt know i bet
 
@Ethan, try to talk to 10 people - there may also be some math circles in your area, go to them. There are definitely some professors who are willing to take a look.
 
user19161
I must say your handwriting sucks man @ethan!
 
1+2^2+...+24^2=70^2, I recognize that one definitely
it has to do with the leech lattice and string theory I believe
 
wtf
thats just a curriousity lol
atleast 4 me
 
24 is the only n such that 1+2^2+...+n^2 is a square
 
user19161
5:49 AM
@anon Unfortunately it's not 23.
 
@Ethan, from what books did you learn from?
 
I have an algorithm for calculating primorials
A freindly intro to number theory, and reading up online
 
user19161
I hope nobody steals your work from this chat room man.
 
would someone do that?
 
no
 
5:51 AM
ok good
look at that integral though
that cant be known
 
it is clear you are employing some roughly standard transformations for some of them, but others I cannot make heads or tails of (yes, that integral in particular)
 
@Ethan, seriously, talk to a professor. You won't get the help you need at a chatroom.
 
IS any of this worth publishing
where do i find a professor
 
Is there any university close to where you live?
 
the closest 1 is ucla
and its an half hour drive
 
5:53 AM
@Ethan which of them are worth publishing is something you and others would need to do a bit of research to find out about. you find a professor at the closest university, either hit them up in person or through email.
 
and i cant drive
 
Good enough - there are good number theorists there.
Find someone to take you there.
It'll b emuch better to talk to them in person.
 
I have some much better work also
would they listen to me
 
Let a professor judge them, not some random people at some random chatroom.
 
@Ethan how do you get places - public transportation? or do you have parents who can drive you?
 
5:54 AM
im only 17
 
user19161
@Sanchez A fields medallist there no less!
 
my mom
i live in an apartment with my mom and grandma
 
@Jasper, I was actually thinking about Professor Duke, although Professor Tao also has an interest of analytic number theory.
@Ethan, just try to go to UCLA math department, and talk to some professors there.
 
I don't want to come off as arogant
 
user19161
@Sanchez Well, that Tao guy probably knows every branch of math on the planet, LOL
 
5:55 AM
what do i say?
 
also make sure to pick the professor that knows analysis and number theory. you can probably just go to the local uni and ask around for where the math is at, then inside that building ask around for a professor that would be good with these topics. the uni might be closed for the holidays though.
yes, Tao is pretty awesome
 
@Jasper, definitely not so, although he's very brilliant.
 
And i just say what? look at my work plz?
 
yes
 
thats it
 
user19161
5:56 AM
Ladies and gentlemen, I am honoured to be in the presence of greatness.
 
Well, something like I am very interested in math, here's something I worked on my own, do you mind giving me some opniions.
 
user19161
The great Ethan!
 
@Ethan, and on this note, there are certain people you may want to email to.
There are a few people that have responded to your questions - you may want to email them for advice.
 
I have mostly b's in high school, could this help with collage
I spend most of my time working on it
 
user19161
Of course, maybe email before going to save yourself a trip in case nobody is around.
 
5:57 AM
college
 
user19161
@Ethan For math?
 
ya
What are good colleges to go to, if you want to major in math
 
user19161
Not a big problem. Stephen Smale got B's and C's too.
 
If I show them my work, will that help me with application
my*
 
@Ethan, you don't get advices from random people on the internet. Go talk to REAL people.
 
5:59 AM
I don't live near any body who is interested in math
 
Email some people who responded you in your questions.
 
user19161
@Ethan Right, so go to UCLA.
 
e.g. Greg Martin, Matt E.
 
sanchez
r u a student or a proffesor or somthing
 
Student - but I am not in a position to help you.
 
user19161
6:04 AM
I am nobody.
 
You don't find help at a place like this - so at the very least, send an email, or go to UCLA, that's better.
 
where do u go to school?
should I be hestitant in showing the work I have done to people I meet in person?
 
no
show what you have to the professors you meet.
 
if my work is 'good' in some context
could
that help me
into geting into a college
 
The professors will know, not us.
 
6:09 AM
sanchez
what school
college
do u go 2
 
why?
it has nothing to do with the question you have here.
 
what colleges should i look into going to
 
Let me reiterate this: you are not going to and should not try to find answers to those questions at a place like this.
 
user19161
@Sanchez I think we can all tell him what we think though.
 
oh
 
6:11 AM
Show your work to professors, ask for their comments, and they will be able to judge it far better than us here.
 
sanchez
 
user19161
@Ethan That's not too related to your work though.
 
@Jasper, sure, but most of his questions is out of reach for us. Does it help for college? It's not like we know him at all, or is able to judge his mathematical ability.
It's much more efficient for him to seek help from those who can help.
 
thx 4 advice
 
user19161
@ethan I cannot judge your work, but if it is something nontrivial then of course it would help in your application. That is just using my common sense.
 
6:14 AM
I have a c in english and spanish
but i have a's in ap chem and ap calc
will that out weight the other
 
user19161
@Ethan These are things the university will decide of course.
 
oh
jasper
 
user19161
Whoever makes the decision will take all these factors into account.
 
how old r u
 
user19161
Me, well, I prefer to keep some secrets now!
 
user19161
6:15 AM
I'll tell you more when I know you better, if you come to chat!
 
y so confined
y does no one talk about them selves
im not going to attack u
 
user19161
So what you need to do now @ethan is (1) talk to someone qualified about your work (2) decide which colleges you wanna apply (3) work hard and get there!
 
lol
facebook tracks your search history
i think
 
user19161
This has nothing to do with FB. =)
 
or somthing
the adds r taylored 2 me
 
user19161
6:17 AM
Many things track you like your browser.
 
taylor series
how do i know
in what region a given taylor series converges
to its
 
user19161
And to talk to someone qualified, I suggest you just visit UCLA since you are only a half hour drive @ethan. Make an appointment first.
 
actuial value
oh
How do u make an appointment
 
user19161
Email the department and say you would like to ask someone.
 
whats a department
how do i find the email
 
user19161
6:20 AM
Erm, go online and do a search?
 
lol
what kind of music do u listen 2
 
user19161
You can probably email the profs there directly for this kind of thing.
 
ok
 
user19161
Just look for the guys there who work in analytic number theory.
 
they will have beards.
 
6:21 AM
Il figure it out tomarrow
 
Pretty sure.
 
I gota write my stuff neatly too
most of its on scrap paper and old homework assignments
 
user19161
OK, I hope I have answered all your questions!
 
yes
what kinda music u listen 2
bitrex
 
user19161
@Ethan Mariah Carey.
 
6:23 AM
never heard of it let me look up
 
skrillex
all day
 
yes
have u heard unkle?
omfg mariha carey is horrible
jaspor u lie
 
user19161
@Ethan Are you kidding me? You don't know who Mariah Carey is?
 
u dnt listen 2 that
u lie
 
user19161
She is the greatest pop singer to me of all time.
 
6:25 AM
@JasperLoy for a 17 year old I wouldn't be surprised, he was 5 when her biggest album came out probably
 
user19161
There can be miracles when you believe --- Mariah Carey
 
I am offering spelling lessons for the day. I guess there's someone in this room who needs to consider.
 
thats good sound
no wait
 
@JasperLoy I've known teenagers who weren't aware of the Vietnam War, so...
 
6:26 AM
listen 2 this
these guys are good
I just started listening 2 them
 
user19161
@Ethan Sorry that sucks man.
 
wowowowow
how about uhm
have u heard of rammstein
german garble music
 
@Ethan: Your questions are, on the other hand, pretty cool with correct grammar. Do you have multiple personalities?
 
lol
 
if you like rammstein, you might like Eisbrecher
 
user19161
6:28 AM
OK I am out of this chat. Good luck @ethan!
 
Hi Jasper.
Bye Jasper.
 
ok
im listen 2 eisbrecher
1 sec
"
how old r u guys
 
Old as the hills.
Relatively.
Too old to be learning math, probably.
 
my lifes roughly 2/7ths over
lol
 
Mine's about half over, given the average male lifespan
 
6:33 AM
assumeing i live to 7*8.5
wait
thats like 56
 
59.5
 
lol
im retarded
im 17
 
Who knows...
 
1/5th over?
im not religous
 
Sounds more likely.
 
6:34 AM
in the dirt
nah
il be creameated
cream lol
r u guys students
 
@Ethan Neither am I, but I would be lying to suggest an $r$ such that $0<r<1$ gives the portion of my life elapsed to any approximation.
 
lol
isn't there a stats related job that calculates death proportions given certain conditions
acturaie
or somthing
 
Actuary.
 
deaths due to horse kicks in the Prussian cavalry
 
lol
that sounds like a fun job
 
6:37 AM
It gives $r$ for large populations, not me.
 
Poisson agrees
 
They have to take lots of long tests though i hear
I live with my mom and grandma, do u guys live by yourselves
y
im just a child
inside a mans body
insidea cats head
how do u know over wat region a taylor series converges 2 its actual value
 
user19161
7:08 AM
Hey @amwhy you are back! Still not sleeping?
 
user19161
Ladies and gentlemen, I have capped today, thanks for your support, over and out!
 
7:29 AM
@JasperLoy hi
Who Wants to Win a LaTeX Book?meta.tex.stackexchange.com/questions/2982/…
 
7:49 AM
@OldJohn Morning. Actually, can you remind me of your field of research? You told me before but I forgot.
 
8:02 AM
@MattN. Good morning - It was mainly about boundary behaviour of fine continuous functions in euclidean space
Hi @anon - now I understand it, that proof is fascinating
 
yes
 
@anon Do you know of any other proofs using p-adics for similar sorts of results?
 
there are generalizations of that particular triangulation argument, but nothing outside of that type of result
I need to check the details as to how the p-adic metric extends from Q to R. Like, where between $\Bbb Q,\Bbb Z_p,\Bbb Q_p,\overline{\Bbb Q}_p,\Bbb C_p$ do copies of $\Bbb R$ (ignoring topology and the Euclidean metric) lie, field-theoretically?
 
@anon Yep - I wasn't sure how extending the 2-adic metric to $\mathbb{R}$ actually worked - and it worries me a bit
 
8:52 AM
@robjohn I will! 8-) < delayed forgot to press enter.
 
@JonasTeuwen That was a long delay :-)
 
8-).
 
9:09 AM
Where is Bill Dubuque?
 
9:20 AM
Gone
 
Yeah, but was it because of this argument?
 
i'm not sure sorry
 

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