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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 $$\lVert(a_{ij})\rVert \le C \Bigl\lVert\s...
Mathoverflow.net news digest
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0 days
The sieve weight with the $d_i$ factor involved [closed]
consider the new form of the sieve method is as follows:$$S=\sum_{n\in I}\left(\sum_{1\le i\le k}\chi_{\mathbb P}(n+h_i)-\rho\right)\left(\sum_{\substack{d_1,\dots,d_k \\ a_1,\dots,a_k \\ d_i\mid n+h_i\forall i \\ a_i\mid d_i\forall i}}\lambda_{d_1,...
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0 days
Distribution of height of abelian varieties over function field
Let $K:=K(C)$ be the function field of a smooth proper curve $C$ over a finite field $k=\mathbb{F}_q$, where $q=p^r$.Let $X/K$ be an abelian variety of dimension $g$.
I can define the height of $X$ to be $$h(X):=\deg(\Omega^1_{\mathcal{X}/C}),$$where $\mathcal{X}$ is the Néron model of $X$. One of my recent research result works perfectly when $h(X)\leq \frac{p-1}{g-1}$. But I don't know does this happen often. The... -
7 years
Noether’s “set theoretic foundations” of algebra. Reference
In [C Mclarty] we read
[Noether] project was to get abstract algebra away from thinking about operations on elements, such as addition or multiplication of elements in groups or rings. Her algebra would describe structures in terms of the relations between selected subsets... -
0 days
How do I solve this progression problem?
On a board, a sequence of n + 1 real numbers is written, with n ≥ 1,formed by the number 1 followed by a geometric progression of n terms whose firstterm is equal to 1 and whose common ratio is equal to √2, that is, the numbers written on the board are...
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