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Results tagged with nt.number-theory
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user 43951
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
15
votes
Accepted
Enriques surfaces over $\mathbb Z$
A preprint by Stefan Schröer came out today with the answer to this question: arXiv:2004.07025.
No such Enriques surface exists. In fact, there is no classical Enriques surface over $\mathbb F_2$ wit …
3
votes
0
answers
97
views
Supremum of certain modified zeta functions at 1
Let $D$ be an integer number and let $\chi$ be the Dirichlet character defined by
$$\chi(m) = 0 \text{ if $m$ even, } \chi(m) = (D/m) \text{ if $m$ odd,}$$
where $(D/m)$ denotes the Jacobi symbol. Le …
1
vote
Easiest way to distinguish $E_8 \oplus E_8$ from $E_{16}$
In sage, you can use the command .is_globally_equivalent_to(), which allows you to compare two quadratic forms. See the Quadratic Forms Overview.
2
votes
Accepted
A question regarding lines on a cubic surface
To each automorphism of the binary form there correspond actually $d$ lines, not only one. In case $d = 3$, since there are always 6 automorphisms, we get $6\cdot 3 = 18$ lines, which summed to the 9 …