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Results tagged with soft-question
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user 37644
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
9
votes
Unexpected applications of transcendental number theory?
Tools from transcendence theory have been crucial to the most significant recent advances in problems of unlikely intersections. The strategy was first dreamed up by Zannier, I believe, and has been …
- 1,499
4
votes
number theory which is close to analysis
An area where analysis (especially the Fourier kind) is used quite heavily is in the study of so-called "Beurling-Selberg maximal functions," which have applications to several areas in number theory, …
2
votes
0
answers
165
views
algorithm to find a new point of small height in a number field extension
By the height of an algebraic number $\alpha$, I mean the absolute, logarithmic (additive) Weil height $h(\alpha)$; e.g. $h(2^{1/n}) = (\log 2)/n.$
If $K$ is a number field, let $\delta(K)$ denote …
- 1,499
6
votes
1
answer
668
views
Examples of "nice" properties of algebraic extensions of $\mathbb{Q}$
I am writing a short survey of some "nice'' properties of algebraic extensions of $\mathbb{Q}$. Let's say a property (P) is nice if
every finite extension of $\mathbb{Q}$ satisfies (P), and
if $K …