# Max Muller

Leiden, Netherlands

mathoverflow.net/users/5970/max-muller

Age: 22

I study mathematics at the University of Leiden. My interests include Analytic Number theory, Divergent Series, the Feynman Path Integral and mathematical games. I am also interested in how new media could be integrated to improve mathematics education, mathematical exposition and biographies of mathematicians.

My e-mail adres is maxmuller100 [at] hotmail [dot] com.

 Nov 28 asked How to prove that $\omega (n) = O\Big{(} \frac{\log(n)}{\log(\log(n))}\Big{)}$ as $n \to \infty$? Nov 26 comment How to answer the following question regarding a certain number of primes in a certain interval?@MarkBennet Nope, I haven't. Do you suspect that's a promising method? Nov 26 asked How to answer the following question regarding a certain number of primes in a certain interval? Nov 16 asked How to prove that $\zeta(s)<0$ for $s \in (0,1)$ using a particular expression for the Riemann zeta function? Nov 11 accepted How to prove that $\lim_{u \downarrow 1} (u-1) \zeta(u) =1$? Nov 11 comment How to prove that $\lim_{u \downarrow 1} (u-1) \zeta(u) =1$?I edited the question! Thanks. Nov 11 revised How to prove that $\lim_{u \downarrow 1} (u-1) \zeta(u) =1$?deleted 5 characters in body Nov 11 asked How to prove that $\lim_{u \downarrow 1} (u-1) \zeta(u) =1$? Oct 18 asked Is there an introductory book on Genetic Sequencing Theory for mathematicians? Oct 16 accepted Show that $\, 0 \leq \left \lfloor{\frac{2a}{b}}\right \rfloor - 2 \left \lfloor{\frac{a}{b}}\right \rfloor \leq 1$ Oct 16 asked Show that $\, 0 \leq \left \lfloor{\frac{2a}{b}}\right \rfloor - 2 \left \lfloor{\frac{a}{b}}\right \rfloor \leq 1$ Oct 13 accepted How to compute the average number of wedges and triangles present in the Erdős-Rényi random graph? Sep 30 accepted How to prove that $- \frac{\pi i}{2n} \sum_{k=0}^{n-1} e^{ \frac{\pi i}{2n} + \frac{k \pi i}{n}} = \frac{\pi}{2n \sin(\pi/2n)}$? Sep 29 asked How to prove that $- \frac{\pi i}{2n} \sum_{k=0}^{n-1} e^{ \frac{\pi i}{2n} + \frac{k \pi i}{n}} = \frac{\pi}{2n \sin(\pi/2n)}$? Sep 24 asked How to prove that $\int_{2}^{x} \frac{dt}{(log(t))^{k}} = O \Big{(} \frac{x}{(log(x))^{k}} \Big{)}$ as $x \to \infty$? Sep 16 comment How to compute the average number of wedges and triangles present in the Erdős-Rényi random graph?@Did It's from a booklet I was given for a course called "Complex Networks", which I'm following at Leiden University. I'd like to send you the link but it's only on Blackboard, so I think you won't be able to read it if I put the link over here. Sep 16 comment What does it mean for a stochastic sequence to be "stochastically smaller" than some other stochastic sequence?By the way, I wanted to tag this question with the "homework" tag, but it didn't pop up anymore. Has this tag been removed recently? Sep 16 comment What does it mean for a stochastic sequence to be "stochastically smaller" than some other stochastic sequence?@Did hm ok yes perhaps I did write down the answer to my own question. I just don't understand the definition very well, perhaps you or someone else can give a small example so I'll understand it better? But indeed, the actual focus of the question is on Question 2, but to put that question in the title wouldn't be very clear, I think, because one then has to guess as to what $N_{d}$ and $Ñ_{d}$ are. Sep 16 revised What does it mean for a stochastic sequence to be "stochastically smaller" than some other stochastic sequence?edited title Sep 16 asked How to compute the average number of wedges and triangles present in the Erdős-Rényi random graph?