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Zoekopdracht: faculteit: "UvA" en publicatiejaar: "2001"

AuteurPieter Moree
TitelAsymptotically exact heuristics for (near) primitive roots. II
Instituut/afd.UvA: Universiteitsbibliotheek
TrefwoordNatural density, primitive root, residual index, exact
SamenvattingLet g be a non-zero rational number. Let N_{g,t}(x) denote the number of primes p<=x such that the subgroup of the multiplicative group of the finite field having p elements generated by g mod p is of residual index t. Under the Generalized Riemann Hypothesis we investigate the quantity N_{g,t}(x) and in particular simplify the work carried out in part I (which appeared in J. Number Theory 83 (2000), 155-181).SR4320821419191919On hidden Markov chains and finite stochastic systemsuva/uba/fnwi/kvi1145661027650;1;01;23960040;;;03;01;01-02-1999In this paper we study various properties of finite stochastic systems or hidden Markov chains as they are alternatively called. We discuss their construction following different approaches and we also derive recursive filtering formulas for the different systems that we consider. The key tool is a simple lemma on conditional expectations.SR4330821419191919Solving the Gleason problem on linearly convex domainsuva/uba/fnwi/kvi114567Lemmers;;Oscar;;Wiegerinck;;Jan.;;Let V be a bounded, connected linearly convex set in C^n with C^{1+\epsilon}-boundary. We show that in the ring of holomorphic functions that are bounded on V, as well as in the ring of holomorphic functions that are continuous up to the boundary of V, the maximal ideal consisting of all functions vanishing at p in V is generated by the coordinate functions z_1 - p_1, ..., z_n - p_n.SR4340821419191919Localization regions of local observablesuva/uba/fnwi/kvi114533Kuckert;;Bernd;;Exploiting the properties of the Jost-Lehmann-Dyson representation, it is shown that in 1+2 or more spacetime dimensions, a nonempty smallest localization region can be associated with each local observable in the sense of Araki, Haag, and Kastler. Necessary and sufficient conditions are given that observables with spacelike separated localization regions commute (locality of the net alone does not imply this yet).SR4350821419191919The Moduli Space of Abelian Varieties and the Singularities of the Theta Divisoruva/uba/fnwi/kvi114534Ciliberto;;C.;;van der Geer;;G.;;We give lower bounds on the codimension of the Andreotti-Mayer loci.SR4360821419191919On the expansion of the mean integrated squared error of a kernel density estimatoruva/uba/fnwi/kvi114555Van Es;;B.;;We give a new proof of the mean integrated squared error expansion for non smooth densities of Van Eeden. The proof exploits the Fourier representation of the mean integrated squared error.SR4370821419191919Hellinger and information processes in filtered experiments, part I: general conceptsuva/uba/fnwi/kvi114535Dzhaparidze;;Kacha;;Spreij;;Peter;;Valkeila;;Esko.;;In this paper we define randomized filtered experiments with an abstract parameter space and analyze some properties of this concept. To that end we introduce three special probability measures that dominate a given expirement, called geodesic measure, arithmetic and geometric mean measures, and a generalized Hellinger process for an abstract family of probability measures. We also introduce and analyze the Kullback-Leibler information process of a posterior distribution on the parameter space with respect to a prior and give an expression for this in terms of the concepts given above.SR4380821419191919Singular values of the Rogers-Ramanujan continued fractionuva/uba/fnwi/kvi114536Gee;;A.C.P.;;Honsbeek;;M;;Let $z\in\C$ be imaginary quadratic in the upper half plane. Then the Rogers-Ramanujan continued fraction evaluated at $q=e^{2\pi i z}$ is contained in a class field of $\Q(z)$. Ramanujan showed that for certain values of $z$, one can write these continued fractions as nested radicals. We use the Shimura reciprocity law to obtain such nested radicals whenever $z$ is imaginary quadratic.SR4390420519721972Blauwdruk voor overleving1-1/262uva/uba/fdrAmsterdamStichting Raad voor MilieudefensieM.D. Maandblad voor milieudefensie123782Goldsmith;;E.;;1020210;1;01;21122100;;;08;01;01-09-1977Jongejans-Meyer;;A.G.;;4400120519921992'Grand theories',
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