MathOverflow

Let a and b are coprime positive integers. We know that from Dirichlet's theorem about primes in arithmetic progression there are infinitely many primes in the form a multiply n add b. I give a conjecture that for every a and a coprime integer b which...

I was wondering if there is a way to compute the following integral:
$$\int_{\pi/1024}^{\pi/8} \frac{\arcsin(\sqrt{x})}{\ln(\tan(x))\ln(\cos(x))}dx$$
In a closed form involving fundamental constants, gamma functions (and their variants), Clausen functions, or other mathematical objects.Or in a more general way,...

"A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories. One can imagine that the ultimate mathematician...

\documentclass[11pt]{amsart}\usepackage{amsmath,amssymb,amsthm}\usepackage{booktabs}\emergencystretch=1em
\newtheorem{theorem}{Theorem}\newtheorem{proposition}[theorem]{Proposition}\newtheorem{corollary}[theorem]{Corollary}\theoremstyle{remark}\newtheorem{remark}[theorem]{Remark}...