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Results tagged with nt.number-theory
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user 2259
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
3
votes
Iwasawa mu-invariant for abelian extensions of quadratic number fields
If I am not mistaken, it proves that mu invariant of the Z_p times Z_p extension is 0 and this was Schneps's thesis. It is unfortunately not enough to show the conjecture of Iwasawa in this case even …
- 399
6
votes
Accepted
Characteristic Complexes in Iwasawa theory
The reason why one cannot take the class of $X$ in the relative $K_0$ when $G$ has $p$-torsion is because $X$ may not have finite resolution by finitely generated projective $\Lambda(G)$-modules. This …
- 399
20
votes
Accepted
What is a path in K-theory space?
I know nothing about Alexander polynomials but let me try to answer the Iwasawa theory part. As is well known, in classical Iwasawa theory one considers cyclotomic $\mathbb{Z}_p$ extension $F{\infty}$ …
- 399
3
votes
Galois groups vs. fundamental groups
@Ben can you provide a reference which systematically compares the theory of L-functions to the theory of spectrum of the Laplacians for a metric on varieties?
- 399