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... g-additive functions have been extensively discussed in the literature, in particular their asymptotic distribution, see [1, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15]. We cite three of these results (in a slightly ... Lihat dokumen lengkap

... The reader will check easily that the conjecture is valid for all cyclic groups of prime order when it is equivalent to the Erd˝os-Heilbronn conjecture; for the infinite cyclic group the[r] ... Lihat dokumen lengkap

... A proof may be found in [2, section 5]. In fact, [2] makes a far more precise statement. In related work, [12] gives a more general uniform dis- tribution result about rational functions in arbitrarily many ... Lihat dokumen lengkap

... 2-dimensional ramification theory In this section we assume that K is a 2-dimensional complete discrete valuation field of characteristic p provided with an additional structure given b[r] ... Lihat dokumen lengkap

... On the one hand, for R´enyi’s classical β-expansions it is well-known that the set of real numbers with ultimately periodic representation is Q(β) whenever β is a Pisot number [1, 12]. On the other hand, for ... Lihat dokumen lengkap

... prefixed finite set; more restrictive local behaviors can also be forced to occur (see [12] and [22]). In this direction, the best possible situation would be that every (admissible) prescribed local behavior at ... Lihat dokumen lengkap

... The set UDr of point sets ofRn, n ≥1, having the property that their minimal interpoint distance is greater than a given strictly positive constantr > 0 is shown to be equippable by a m[r] ... Lihat dokumen lengkap

... i the given forms have a common nonsingular real solution, and either iia each form in the complex pencil has rank>4r2+ 4r, or iib each form in the rational pencil has rank >4r3+ 4r2.. [r] ... Lihat dokumen lengkap

... number p. If we take a positive number γ ∈ Q(α) such that σ(γ) = −γ , for instance, γ = α − σ(α) (one may replace α by −α, and so, we can suppose α − σ(α) > 0), then we have log(−σ(γ)/γ) = 0, and by (12), we ... Lihat dokumen lengkap

... IfK is a totally real cyclic number field of degreen= 2p= 22,26,34 or38 such that N ormK/KpUK =UKp andN ormK/K2UK =UK2, thenK contains a Minkowski unit if and only if the class of its [r] ... Lihat dokumen lengkap

... some suitably large power of p by lifting to the de Rham complex, where its action is given very explicitly, and performing some kind of cohomologi- cal reduction. This approach was first explored by Kedlaya, and seems ... Lihat dokumen lengkap

... where F ∈ Z [X, Y ] is a homogeneous irreducible polynomial of degree ≥ 3 and t 6= 0 a fixed integer. Equation (1.1) is called a Thue equation in honour of A. Thue, who proved in 1909 [20], that equation (1.1) has only ... Lihat dokumen lengkap

... At this step, we may finally complete the above list with several other values of the xi equal to 1 until we get a list with precisely t−1 numbers, which is possible by inequality 2.14 [r] ... Lihat dokumen lengkap

... We also dis-cuss the connections between the notion of Grassmannian design and the notion of design associated with the symmetric space of the totally isotropic subspaces in a binary qua[r] ... Lihat dokumen lengkap

... Remark that an imaginary quadratic order yields to consider definite bi-nary quadratic forms, and a real quadratic order yields to indefinite bibi-nary forms.. Therefore, by construction[r] ... Lihat dokumen lengkap

... A publication of the International Linear Algebra Society.[r] ... Lihat dokumen lengkap

... In this paper, we give another proof of this theorem making use of a general result Theorem 3.5 according to which the inverse of an n×n interval matrix can be computed from unique solut[r] ... Lihat dokumen lengkap

... pour toute 2-extension ab´elienne r´eelle K dont les premiers impairs ramifi´es sont congrus ` a 1 modulo 4 (th´eor`eme 5.5). Ce qui am´eliore le r´esultat de Fr¨ ohlich. Signalons de plus que le corps de genres ... Lihat dokumen lengkap

... From a block-ordered right coprime decomposition of a rational matrix of the given periodic collection, the corresponding block-ordered right coprime decompositions of the remaining matr[r] ... Lihat dokumen lengkap

... In Section 3, it is also shown that in a one-dimensional setting and with a uniformly continuous log π, the variance parameter S n is bounded away from zero. This fact is shown to imply, with the results in Saksman and ... Lihat dokumen lengkap