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Tyler Hilton


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awarded  Notable Question
Apr
13
awarded  Popular Question
Apr
9
comment complex analysis poles and residues
Okay, I am pretty confused about it. I will read it over and over. thanks for your help.
Apr
9
comment complex analysis poles and residues
Okay so you have that for all $n < D$ the denominator can not be zero. What if $n$ is a multiple of 2? wouldnt that make the denominator zero?
Apr
9
comment complex analysis poles and residues
Okay and last question. You say $z^k = 1$ iff $z = e^{2\pi i \frac{m}{k}}$ what is m in this case?
Apr
9
comment complex analysis poles and residues
Could you explain your last line. why is it analytic at $z = e^{2\pi i 1/d}$
Apr
9
accepted complex analysis poles and residues
Apr
9
comment complex analysis poles and residues
Is there a reason why the author does the "max" thing. ie what is the reasoning behind showing that $|F(z)| \leq A\frac{.}{.}$
Apr
9
asked complex analysis poles and residues
Apr
9
comment using Dirichlet transforms to show infinity of primes
The main paper is here, so maybe this can help you? math.uga.edu/~pollack/infprimes-final.pdf
Apr
9
comment using Dirichlet transforms to show infinity of primes
Could you share why the infinitude of primes follow?
Apr
8
asked using Dirichlet transforms to show infinity of primes
Apr
5
comment A proof that the Dirichlet and Möbius transforms are inverses of each other
I am confused by your answer. It would be appreciated if you can expand on it if you have time.
Apr
5
comment A proof that the Dirichlet and Möbius transforms are inverses of each other
Your last paragraph says that the product can be written as a Dirichlet series. Is there a reason why?
Mar
27
comment Jacobian and Newton's method
Is this Numerical methods by burden? if so, it does contain a fair bit of errors.
Mar
25
accepted Showing the sum over primes is equal to an integral
Mar
25
comment Showing the sum over primes is equal to an integral
I am very confused. Thats what I had though, no? I set f(n) = log(n)
Mar
25
comment Showing the sum over primes is equal to an integral
I believe I was thinking of $\log$. since the antiderivative of $1/u$ is $\log$ correct
Mar
25
comment Showing the sum over primes is equal to an integral
I see. What is the correct method I am looking for then?
Mar
25
comment Showing the sum over primes is equal to an integral
can i define it in terms of cases? log n if n is prime, 0 otherwise?