Zobrazeno 1 - 10
of 15
pro vyhledávání: '"11R42 (11R29)"'
Let $K$ be an imaginary quadratic field. For an order $\mathcal{O}$ in $K$ and a positive integer $N$, let $K_{\mathcal{O},\,N}$ be the ray class field of $\mathcal{O}$ modulo $N\mathcal{O}$. We deal with various subjects related to $K_{\mathcal{O},\
Externí odkaz:
http://arxiv.org/abs/2205.10754
Autor:
Atsuta, Mahiro, Kataoka, Takenori
The equivariant Tamagawa number conjecture (hereinafter called the eTNC) predicts close relationships between algebraic and analytic aspects of motives. In this paper, we prove a lot of new cases of the minus component of the eTNC for $\mathbb{G}_m$
Externí odkaz:
http://arxiv.org/abs/2112.04783
Autor:
Friedrichsen, Matthew, Keliher, Daniel
Publikováno v:
Proc. Amer. Math. Soc. 149 (2021), 2357-2369
When ordered by discriminant, it is known that about 83% of quartic fields over Q have associated Galois group S_4, while the remaining 17% have Galois group D_4. We study these proportions over a general number field F. We find that asymptotically 1
Externí odkaz:
http://arxiv.org/abs/1910.06388
Autor:
Braunling, Oliver
We propose a new formulation of the equivariant Tamagawa number conjecture (ETNC) for non-commutative coefficients. We remove Picard groupoids, determinant functors, virtual objects and relative K-groups. Our Tamagawa numbers lie in an idele group in
Externí odkaz:
http://arxiv.org/abs/1906.04686
Autor:
Ivanov, Alexander
Our main goal in the present article is to explain how one can reconstruct the decomposition subgroups and norms of points on an arithmetic curve inside its fundamental group if the following data are given: the fundamental group, a part of the cyclo
Externí odkaz:
http://arxiv.org/abs/1409.4909
Autor:
Mazur, Barry, Rubin, Karl
Publikováno v:
Compositio Math. 147 (2011) 56-74
We use the theory of Kolyvagin systems to prove (most of) a refined class number formula conjectured by Darmon. We show that for every odd prime $p$, each side of Darmon's conjectured formula (indexed by positive integers $n$) is "almost" a $p$-adic
Externí odkaz:
http://arxiv.org/abs/0909.3916
Autor:
Holden, Joshua
Publikováno v:
Mathematics of Computation, 71:863--871, 2002
In previous work, the author has extended the concept of regular and irregular primes to the setting of arbitrary totally real number fields k_{0}, using the values of the zeta function \zeta_{k_{0}} at negative integers as our ``higher Bernoulli num
Externí odkaz:
http://arxiv.org/abs/math/0010286
Autor:
Matthew Friedrichsen, Daniel Keliher
Publikováno v:
Proceedings of the American Mathematical Society. 149:2357-2369
When ordered by discriminant, it is known that about 83% of quartic fields over Q have associated Galois group S_4, while the remaining 17% have Galois group D_4. We study these proportions over a general number field F. We find that asymptotically 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::295651d86eb2eb588e3132e977c2177f
https://doi.org/10.1090/proc/15358
https://doi.org/10.1090/proc/15358
Let $K$ be an imaginary quadratic field. For an order $\mathcal{O}$ in $K$ and a positive integer $N$, let $K_{\mathcal{O},\,N}$ be the ray class field of $\mathcal{O}$ modulo $N\mathcal{O}$. We deal with various subjects related to $K_{\mathcal{O},\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::227c921a2eb9fcb7f7964cf7b7b5200e
http://arxiv.org/abs/2205.10754
http://arxiv.org/abs/2205.10754
Autor:
Stéphane R. Louboutin
Publikováno v:
Funct. Approx. Comment. Math. 56, no. 1 (2017), 109-116
Functiones et Approximatio Commentarii Mathematici
Functiones et Approximatio Commentarii Mathematici, Poznań : Wydawnictwo Naukowe Uniwersytet im. Adama Mickiewicza, 2017, 56 (1), pp.109-116. ⟨10.7169/facm/1598⟩
Functiones et Approximatio Commentarii Mathematici, 2017, 56 (1), pp.109-116. ⟨10.7169/facm/1598⟩
Functiones et Approximatio Commentarii Mathematici
Functiones et Approximatio Commentarii Mathematici, Poznań : Wydawnictwo Naukowe Uniwersytet im. Adama Mickiewicza, 2017, 56 (1), pp.109-116. ⟨10.7169/facm/1598⟩
Functiones et Approximatio Commentarii Mathematici, 2017, 56 (1), pp.109-116. ⟨10.7169/facm/1598⟩
International audience; Using Stechkin's lemma we derive explicit regions of the half complex plane R (s) = 1 - c = logd(K) and vertical bar gamma vertical bar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d2116e8a7924d51ceb2cd602861d1bc
http://projecteuclid.org/euclid.facm/1485486021
http://projecteuclid.org/euclid.facm/1485486021