5,670 reputation
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visits member for 3 years, 6 months
seen Jun 24 at 5:05

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.


Jul
9
awarded  Guru
Jul
2
awarded  Curious
Jun
22
awarded  Nice Answer
Apr
26
comment prime zeta function when $0<s<1$
"I will not be surprised if this question seems trivial in MO but i asked it first in MathSE and i did not get an answer." In fact, it has already been asked and answered several times on math.stackexchange. See here for a comprehensive answer which shows that for $k>-1$, $$\sum_{p\leq x}p^{k}=\text{li}\left(x^{k+1}\right)+O\left(x^{k+1}e^{-c\sqrt{\log x}}\right).$$ For this reason I vote to close this question.
Apr
18
revised Existence of a certain subset of natural numbers equidistributed modulo $m$ for every $m$
I added the analytic number theory tag, and the word "equidistributed" to the title.
Apr
18
revised Existence of a certain subset of natural numbers equidistributed modulo $m$ for every $m$
added 4 characters in body
Apr
17
revised Existence of a certain subset of natural numbers equidistributed modulo $m$ for every $m$
added 41 characters in body
Apr
17
answered Existence of a certain subset of natural numbers equidistributed modulo $m$ for every $m$
Apr
6
accepted The intersection of $n$ cylinders in $3$-dimensional space
Mar
14
accepted A sumset inequality
Mar
13
comment A sumset inequality
@Alvin, Seva: I checked all possible combinations $X\subsetneq A\subset \{1,2,3\dots, 10\}$ and the inequality always holds. I edit the question to this in.
Mar
13
revised A sumset inequality
added 33 characters in body
Mar
13
revised A sumset inequality
added 708 characters in body
Mar
13
comment A sumset inequality
@Seva I wrote a program which chooses $A$ as a random subset of $\{1,2,...,n\}$ and $X$ as a random subset of $A$, and for $1$ million trials with $n=100$, the inequality always holds. I'll write a program that checks all subsets of $\{1,\dots,10\}$ and all possibilities $X$ and test it.
Mar
13
awarded  Nice Question
Mar
13
asked A sumset inequality
Feb
21
comment What is/are the best bound/s on the sum of squares of degrees in a graph?
A quick search yields the paper New sharp bounds on the first Zagreb index, where they show that for connected graphs $G=(V,E)$, $$M_1(G) \leq e(e+1)$$ $$M_1(G) \leq n(2n-e+1)$$which are each sharp for some graphs. Cauchy-Schwarz yields the lower bound $$4e^2/n\leq M_1(G).$$ We are essentially trying to bound the second moment of a function $d:V\rightarrow \mathbb{N}$ by the first moment and the size of the domain $V$, so any simple bounds will not be tight in every case.
Jan
16
awarded  Nice Question
Jan
13
awarded  Good Question
Jan
13
comment The intersection of $n$ cylinders in $3$-dimensional space
Thanks, this is what I was looking for.