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I am a graduate student in mathematics at Princeton university.

You can contact me at naslund [at] math [dot] princeton [dot] edu, or visit my website for more information.


Sep
16
comment Why do so many identities for the Logarithmic Integral begin with the terms $\log \log n + \gamma +…$?
Every identity you have stated involves $\text{li}(x)$, so there really aren't "many" identities involving $\log \log n+\gamma$. What is really happening is that you have just stated several identities for $\text{li}(x)-\log \log x-\gamma$, and it's not really surprising that we can write this in several different ways. The question that seems to be more natural is "why does $\log \log n+\gamma$ appear when looking at $\text{li}(n)$?"
Sep
16
comment If a series diverges, dividing it by the sequence of partial sums preserves divergence
@Umberto: The question states that the $x_i$ are positive, so no $s_n$ cannot be oscillating.
Sep
16
answered If a series diverges, dividing it by the sequence of partial sums preserves divergence
Sep
12
comment Prove that the sum can never be an integer
There are several solutions here: Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer? Please try searching to see if a question is a duplicate first.
Sep
12
comment Prove that the sum can never be an integer
This question has almost certainly been asked on this site before. The idea is to consider the denominator that is divisible by the highest power of two.
Sep
12
answered A question about the convergence of partial products of zeta of one.
Sep
10
accepted Evaluating a series with the Möbius function and greatest common divisor.
Sep
10
awarded  Nice Answer
Sep
8
awarded  Good Answer
Aug
24
awarded  Enlightened
Aug
24
awarded  Nice Answer
Aug
8
awarded  Great Answer
Jul
2
awarded  Curious
Jun
22
awarded  Good Answer
Jun
20
revised Uniform continuity
edited body
May
31
awarded  Enlightened
May
31
awarded  Nice Answer
May
24
awarded  Necromancer
May
11
answered State of art of prime numbers distribution
Apr
23
awarded  Nice Answer