Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Piotr Maciak"'
Autor:
Eva Bayer-Fluckiger, Piotr Maciak
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 27:689-697
Le but de cet article est de donner des bornes superieures pour les minima euclidiens de corps abeliens, en particulier dans le cas des corps abeliens de conducteurs des puissances de nombres premiers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a52ccbf15b19a5909bb87aaec74a660
https://doi.org/10.5802/jtnb.919
https://doi.org/10.5802/jtnb.919
Publikováno v:
Journal of Algebra. 399:693-702
In this paper, we define Euclidean minima for function fields and give some bound for this invariant. We furthermore show that the results are analogous to those obtained in the number field case. (C) 2013 The Authors. Published by Elsevier Inc. All
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::535c03c21385c658ba05c34d23a21362
https://doi.org/10.1016/j.jalgebra.2013.09.027
https://doi.org/10.1016/j.jalgebra.2013.09.027
Autor:
Eva Bayer-Fluckiger, Piotr Maciak
Publikováno v:
Mathematische Annalen. 357:1071-1089
The aim of this paper is to give upper bounds for the Euclidean minima of abelian fields of odd prime conductor. In particular, these bounds imply Minkowski's conjecture for totally real number fields of conductor p^r, where p is an odd prime and r i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb0c6b9edc9740956ed5b9a7f020da21
https://doi.org/10.1007/s00208-013-0932-3
https://doi.org/10.1007/s00208-013-0932-3
Autor:
Piotr Maciak, Jorge Morales
Let D be a square-free polynomial in F_q[t], where q is odd, and let G be a genus of definite ternary lattices over F_q[t] of determinant D. In this paper we give self-contained and relatively elementary proofs of Siegel's formulas for the weighted s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2656becfdc3d8d3f5e6f9949a05a7845
