L’autel : fonctions, formes et éléments
نویسندگان
چکیده
منابع مشابه
Moyennes de fonctions arithmétiques de formes binaires
Extending classical results of Nair and Tenenbaum, we provide general, sharp upper bounds for sums of the type ∑ u<m u+v x<n x+y F (Q1(m, n), . . . , Qk(m, n)) where x, y, u, v have comparable logarithms, F belongs to a class defined by a weak form of sub-multiplicativity, and the Qj are arbitrary binary forms. A specific feature of the results is that the bounds are uniform within the F -class...
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On utilisera principalement cette fonction génératrice comme une fonction définie sur [0, 1]. gX est C∞ sur ]− 1, 1[ on a gX(0) = P(X = 0), gX(1) = 1,P(X = n) = g X (0)/n!. Proposition 1. Soient X et Y de variables aléatoires indépendantes, de fonctions génératrices respectives gX et gY . Alors la fonction génératrice de X + Y est gX+Y = gXgY . Démonstration. Pour tout s, gX+Y (s) = E[sX+Y ] = ...
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We say that a rational (resp. a subsequential) function tl from a free monoid into another one is in the variety of monoids V if it may realized by some unambiguous (resp. subsequential) transducer whose monoid of transitions is in V. We characterize these functions when V is the variety of aperiodic monoids, and the variety of groups. In the first case, the period of am ’ (15) divides that of ...
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(2π)Γ(s)Lτ (s) is invariant under s 7→ 12 − s. The Ramanujan conjecture affirms that the roots of the polynomial Hp are of absolute value p −11/2 (i.e. that |τ(p)| < 2p). These properties, proven or conjectural, are similar to conjectural properties of zeta functions of algebraic varieties over Q. Suggested by this, in a first approximation, it is tempting to interpret the function Lτ as the ze...
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1. Ircam, CNRS STMS UPMC Paris [email protected] 2. Institut Télécom, Télécom ParisTech, CNRS LTCI Paris [email protected] 3. METISS Project, IRISA-INRIA Rennes [email protected] 4. LMA, CNRS UPR 7051 Marseille [email protected] 5. Université de Bretagne Occidentale, UFR Sciences & Techniques, Brest [email protected] 6. Université Paris Diderot, I...
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ژورنال
عنوان ژورنال: In Situ
سال: 2001
ISSN: 1630-7305
DOI: 10.4000/insitu.1049