ALGEBRAIC NUMBER
A note on free pro-$p$-extensions of algebraic number fields
... an algebraic number field, then by Lemma 2.1 we have where G sp is the Galois group of the maximal pro-p-extension of k which is unramified outside p (this notation is consistent with that introduced ...
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On a construction of $C^1(\mathbb{Z}_p)$ functionals from $\mathbb{Z}_p$-extensions of algebraic number fields
... [6] J. Lubin & J. Tate, “Formal complex multiplication in local fields”, Ann. of Math. 81 (1965), p. 380-387. [7] J. Neukirch, Algebraic number theory, Grundlehren der Mathematischen Wissenschaften, ...
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GiANT: Graphical Algebraic Number Theory
... 726 Aneesh Karve, Sebastian Pauli this regard, but nevertheless hope to have offered some ideas in the right direction. In its present state of development GiANT can be used for teach- ing and presentations. To use ...
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The distribution of powers of integers in algebraic number fields
... 100 73 )+ . 2. Auxiliary results and other preliminaries First of all, we reduce our task to a lattice point problem. To this end, we have to take care of multiple solutions of the equation γ p = z. Since, as is ...
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Isomorphisms of algebraic number fields
... de Bordeaux 24 (2012), 293-305 Isomorphisms of algebraic number fields par Mark VAN HOEIJ et Vivek PAL Résumé. Soient Q(α) et Q(β) des corps de nombres. Nous dé- crivons une nouvelle méthode permettant de ...
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On the order modulo $p$ of an algebraic number
... On the order modulo p of an algebraic number Tome 30, n o 1 (2018), p. 307-329. < http://jtnb.cedram.org/item?id=JTNB_2018__30_1_307_0 > © Société Arithmétique de Bordeaux, 2018, tous droits ...
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Bases of canonical number systems in quartic algebraic number fields
... of algebraic number fields In the sequel we denote by Q the field of rational numbers, by Z the set of integers and by N the set of nonnegative ...an algebraic integer γ we let µ γ ∈ Z[X] be its ...
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Topics in computational algebraic number theory
... given its largest squarefree divisor. (The “obvious” algorithm requires the factorization of the discriminant of P .) And second, the computation of Cl(K) and O K ∗ , for which one currently requires the truth of the ...
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A necessary and sufficient condition for an algebraic integer to be a Salem number
... must have even degree. It is well known [7] that τ n should also be a Salem number of degree d for any natural n. Fractional parts of τ n are dense in the unit interval [0, 1], but are not uniformly distributed ...
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Around rationality of algebraic cycles
... in algebraic cobordisms In this subsection, we briefly recall some properties of symmetric operations in algebraic ...of algebraic cobordisms Ω ∗ (X) with a natural surjective map pr : Ω ∗ (X) CH ∗ ...
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Blockers for the stability number and the chromatic number
... covering number θ(G) by at least d, ...covering number of a graph G is the minimum number of cliques in G such that every vertex belongs to at least one of these ...
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Algebraic Analysis of Branching Processes
... assets an equivalence conflicts (≡ con f ) between unfoldings and then Petri nets. Several perspectives are into progress. First, news theorems have to be established allowing to speed up the procedure of canonic ...
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Algebraic Analysis of Branching Processes
... assets an equivalence conflicts (≡ con f ) between unfoldings and then Petri nets. Several perspectives are into progress. First, news theorems have to be established allowing to speed up the procedure of canonic ...
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Notes on algebraic calculi of processes
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Algebraic Methods for Geometric Modeling
... 3.3. INTERSECTION 71 or tangency of intersecting surfaces, and thus provide incorrect connectivity. Marching methods involve generating point sequences of an intersection curve branch by stepping from a given point on ...
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Constructions of real algebraic surfaces
... volutions of four-dimensional smooth manifolds, and the arithmetic of integral quadratic forms. Funkcional. Anal. i Priložen., 5(3):1–9, 1971. [Bea83] A. Beauville : Complex algebraic surfaces, volume 68 de London ...
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Opetopes: Syntactic and Algebraic Aspects
... Lastly, in the third part of this thesis, we focus on the algebraic structures that can naturally be described by opetopes. So-called opetopic algebras include categories, planar operads, and Loday’s combinads ...
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COMPLEXITY OF SEMI-ALGEBRAIC PROOFS
... For these proof systems several interesting complexity lower bounds on the de- grees of the derived polynomials were obtained [Raz98, IPS99, BGIP01]. When the degree is close enough to linear (in fact, greater than the ...
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Algebraic renormalisation of regularity structures
... where the first ?-product is the convolution product on T + ∗ , while the second ?- product is given by the dual of the coaction ∆ + . This structure guarantees that all relevant expressions will be linear in the Πy, so ...
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