[PDF] Top 20 Sums of squares in $\mathbb {Z}[\sqrt{k}]$
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Sums of squares in $\mathbb {Z}[\sqrt{k}]$
... described in [Chl] but to ease references we prefer to give here a specific statement of the results that we need with a very brief comment about the underlying ...notation of [Iw2] and we also refer ... Voir le document complet
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Formal Proofs for Global Optimization -- Templates and Sums of Squares
... subdivision in order to reduce this gap: we divide the maximal width interval of K in two halves to get two sub-boxes K 1 and K 2 such that K = K 1 ∪ K 2 ... Voir le document complet
144
On using sums-of-squares for exact computations without strict feasibility
... y in this interior, assuming enough precision is ...also in the interior of S. Thus, F (y) is a solution of problem ...is in the relative interior of S — that is, the interior ... Voir le document complet
10
On a construction of $C^1(\mathbb{Z}_p)$ functionals from $\mathbb{Z}_p$-extensions of algebraic number fields
... Gauss sums τ (χψ) in an interesting light when the conductor of χψ is a p-power and χ is ...values of the Fourier transform of a distribution associate to a generating sequence for the ... Voir le document complet
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About the Decidability of Polyhedral Separability in the Lattice $\mathbb {Z}^d$
... purpose of the paper is to investigate the case where the family of shapes F is a set of polyhedra of R d ...set of all polyhedra of R d and P n the set of the polyhedra ... Voir le document complet
18
A Sums-of-Squares Extension of Policy Iterations
... composed of a vector bound computation using linear programming and the determination of a new policy when a fixpoint is not ...navigates in the set of postfixpoints of F R and needs to ... Voir le document complet
21
Pink-type results for general subgroups of $\operatorname{SL}_2(\mathbb{Z}_\ell )^n$
... power of ` admits a unique maximal element, which we denote again by N ...subgroup of G. Clearly π(N ) is an `-group that is normal in G(`), so it suffices to show that N (G(`)) is well-defined, for ... Voir le document complet
44
Existence and properties of equilibrium states of holomorphic endomorphisms of $\mathbb{P}^k$
... properties in Theorem ...requirements. In this assumption, some of the above properties were previously obtained with ad hoc arguments, see [PUZ89, DU91a, DU91b, DPU96, Hay99, DNS07, SUZ15] when ... Voir le document complet
66
Measurement of sigma(ppbar -> Z + X) Br(Z -> tau+tau-) at sqrt(s)=1.96 TeV
... results in a background rejection of almost a factor of 50 for all three tau ...sum of all types (from 52% without the NN output requirement), while maintaining a total efficiency of ... Voir le document complet
10
Explicit Laws for the Records of the Perturbed Random Walk on ℤ $$\mathbb {Z}$$
... those in [Se13] where we treated the case of the reflecting random walk perturbed at the ...will of course refer to this paper for several proofs which are identical to that ...address in the ... Voir le document complet
25
Multidimensional Gauss reduction theory for conjugacy classes of $\mathrm{SL}(n,\mathbb{Z})$
... diagonalizable in a certain complex basis, and in consequence they ...invariants of conjugacy ...matrices of Ξ(A) define nonequiva- lent shifts. So the matrix A ∈ GL(n, Z) is uniquely ... Voir le document complet
12
Anneaux d’entiers stablement libres sur $\mathbb {Z}[H_8 \times C_2]$
... étant congrus à 3 modulo 4, ce corps est complexe. Les extensions quadratiques de K, abéliennes sur Q et non ramifiées sur K sont donc au nombre de 8. Par composition avec Ni on obtient 8 corps ... Voir le document complet
40
$K_2$ et conjecture de Greenberg dans les $\mathbb{Z}_p$-extensions multiples
... , ce qui suffira pour conclure que K 2 O 0 K {p} capitule dans F c , donc dans ˜ K. Puisque s p (F c ) = 1, noyaux sauvages et noyaux mod´ er´ es co¨ıncident. La conjecture de Vandiver impli- quant ... Voir le document complet
21
Sudoku, the Golden Ratio, Determinants, Eigenvectors and Matrices In $\mathbb Z$
... put in various magazines and mathematical research is more and more interested in ...properties of the Sudoku, but not according to graphs’ ...number of clues,” but about Sudokus’ matrix ... Voir le document complet
14
The large sieve with square norm moduli in $\protect \mathbb{Z}[i]$
... The large sieve with square norm moduli in Z[i] Tome 30, n o 1 (2018), p. 93-115. < http://jtnb.cedram.org/item?id=JTNB_2018__30_1_93_0 > © Société Arithmétique de Bordeaux, 2018, tous droits ... Voir le document complet
24
K-theory and K-homology for semi-direct products of Z2 by Z
... Proof. In this proof, since we will only work with arcwise connected spaces and since only the isomorphism classes of their homotopy groups will be relevant, we can skip the use of ... Voir le document complet
141
Prompt K^0_s production in pp collisions at sqrt(s)=0.9 TeV
... downstream of the magnet. Particles traversing from the in- teraction region to the downstream tracking stations experience a bending-field integral of ...consists of silicon microstrip ... Voir le document complet
24
Measurement of Z/gamma*+jet+X$ angular distributions in ppbar collisions at sqrt{s}=1.96 TeV
... result of events migrating out of the mass ...number of generators available and the various tunes of those generators, a complete survey of the field would be ...implemented in ... Voir le document complet
15
Measurement of $Z\rightarrow\tau^+\tau^-$ production in proton-proton collisions at $\sqrt{s} = 8$ TeV
... The Z boson is reconstructed from τ particles decaying into leptonic (muons or electrons) or hadronic (one or three charged hadrons) final ...clusters of ECAL/HCAL cells and hits in the muon ...hits ... Voir le document complet
20
Tables de réseaux entiers unimodulaires construits comme $k$-voisins de $Z^n$
... Le vecteur kw appartient aussi Posons u = k 2V -~-1~2w. Une petite vérification montre qu’on a Preuve de la proposition 2. Soit E l’ensemble des classes d’isomor- phisme de tous les réseaux entiers unimodulaires ... Voir le document complet
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