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11130
bio website math.stackexchange.com/users/…
location Vancouver, Canada
age 24
visits member for 2 years
seen Jul 22 at 3:08

The riddle does not exist. If a question can be put at all, then it can also be answered.

Ludwig Wittgenstein


When you have eliminated the impossible, whatever remains, however improbable, must be the truth.

Sir Arthur Conan Doyle (Sherlock Holmes)


Jul
23
awarded  Yearling
Jul
20
awarded  Notable Question
Jul
15
revised Parameter-dependent integral: Is the following statement true?
added 69 characters in body
Jul
15
revised Parameter-dependent integral: Is the following statement true?
added 190 characters in body
Jul
15
asked Parameter-dependent integral: Is the following statement true?
Jul
15
answered Prove this identity about limit of integral with parameter
Jul
14
answered Rearrangements of Dirichlet Eta Function
Jul
14
answered $\frac{1}{\sqrt{2\pi}}\int_\frac {1}{2}^0\exp(-x^2/2)dx$
Jul
14
awarded  Inquisitive
Jul
14
comment Interchanging limits with the prime counting function
@anomaly How is the limit on the left $\infty$ if $s > 1$? Note that $0 \leq \pi(x) x^{-s} \leq x^{1 - s}$ whenever $s > 1$.
Jul
14
revised Interchanging limits with the prime counting function
added 30 characters in body
Jul
14
revised Interchanging limits with the prime counting function
added 30 characters in body
Jul
13
asked Interchanging limits with the prime counting function
Jul
10
comment Interesting sum-integral equality
@PranavArora Yes, my proof is different, but like I said it is quite long. I do not want to LaTeX it just yet. By "standard" I meant that it is natural to use the Poisson summation formula (see, for example, this).
Jul
10
comment Interesting sum-integral equality
Short answer: Fourier analysis.
Jul
10
comment Interesting sum-integral equality
@PranavArora I think I concocted an elementary proof, but, unfortunately, it is rather long.
Jul
10
comment Interesting sum-integral equality
@PranavArora Nice answer, but you gave a "standard" proof, which is non-elementary as it uses the Poisson summation formula. I am looking for an elementary proof.
Jul
8
asked Interesting sum-integral equality
Jul
7
revised Reference Request: Fubini's theorem for non-negative functions
added 193 characters in body
Jul
7
comment Reference Request: Fubini's theorem for non-negative functions
I want to justify equalities similar to the one in this question without invoking theorems from measure theory.