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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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Let $A$ be a $C^*$-algebra and $(a_{ij}) \in M_n(A)$ be a positive matrix. Does there exist a constant $C \ge 0$ (not depending on the $a_{ij}$) such that $$\lVert(a_{ij})\rVert \le C \Bigl\lVert\s...
Mathoverflow.net news digest
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0 days
strong version of Dirichlet's theorem
Let a and b are coprime positive integers. We know that from Dirichlet's theorem about primes in arithmetic progression there are infinitely many primes in the form a multiply n add b. I give a conjecture that for every a and a coprime integer b which...
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0 days
Possible closed forms for a reciprocal log-trigonometric integral
I was wondering if there is a way to compute the following integral:
$$\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,... -
16 years
"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...
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0 days
A closed-form formula for the dimension of Hodge classes on products of elliptic...
\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}...
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| Updated: | July 07, 2025 |
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| Created: | July 14, 2009 |
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