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Results tagged with nt.number-theory
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user 119770
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
0
answers
69
views
Hecke convergence factor
I was reading a paper here. There the author define an infinite series
$$\sum_{ad-cb=1}(cz+d)^{-(k-j)}(az+b)^{-j}$$
where $k$ is an even integer bigger than 2 and $2\leqslant j\leqslant k-2$. Then thi …
- 275
1
vote
1
answer
217
views
Galois symbols and Milnor K-group
I was reading the paper Swan conductors for characters of degree one in the imperfect residue field case by Kato. Is it easy to prove the property that the symbol {...} has the property if any two ele …
- 275
3
votes
1
answer
375
views
The kernel from $A_\mathrm{inf}$ to $\mathcal{O}_{\mathbb{C}_K}$
I tried to understand this paper on page 31.
Let $K$ be an finite extension of $\mathbb Q_p$ and $\overline{K}$ be its algebraic closure; $\mathcal{O}_{\overline{K}}$ is the ring of integers of $\over …
- 275
4
votes
0
answers
218
views
Generate periods only by smooth varieties
Like explained in this passage that a period is a complex number whose real and imaginary parts are integrations of rational functions over $\mathbb{Q}$ on some $\mathbb{Q}$-semi-algebra set in $\math …
- 275