Dissertations / Theses on the topic 'Fonction zeta'
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Henocq, Thierry. "Jacobienne et fonction Zeta des courbes algébriques. Décodage des codes géométriques." Toulouse 3, 1994. http://www.theses.fr/1994TOU30185.
Full textTollis, Emmanuel. "Calculs dans les corps de nombres : étude algorithmique de la fonction zeta de Dedekind." Bordeaux 1, 1996. http://www.theses.fr/1996BOR10507.
Full textBel, Pierre. "Fonction Zêta de Hurwitz p-adique et irrationalité." Bordeaux 1, 2008. http://www.theses.fr/2008BOR16023.
Full textSankari, Abdulnasser. "Rationalité de la fonction zéta d'un système sofique et extension du logiciel automate." Rouen, 1995. http://www.theses.fr/1995ROUES015.
Full textFischler, Stéphane. "Contributions à l'étude diophantienne des polylogarithmes et des groupes algébriques." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2003. http://tel.archives-ouvertes.fr/tel-00002988.
Full textCampesato, Jean-Baptiste. "Une fonction zêta motivique pour l'étude des singularités réelles." Thesis, Nice, 2015. http://www.theses.fr/2015NICE4104/document.
Full textThe main purpose of this thesis is to study real singularities using arguments from motivic integration as initiated by S. Koike and A. Parusiński and then continued by G. Fichou. In order to classify real singularities, T.-C. Kuo introduced the blow-analytic equivalence which is an equivalence relation on real analytic germs without moduli for isolated singularities. This notion is closely related to the notion of arc-analytic maps introduced by K. Kurdyka, thus it is natural to adapt arguments from motivic integration to the study of the relation. The difficulty lies in finding efficient ways to prove that two germs are equivalent and in constructing invariants that distinguish germs which are not in the same class. We focus on the blow-Nash equivalence, a more algebraic notion which was introduced by G. Fichou. The first part of this thesis consists in an inverse theorem for blow-Nash maps. Under certain assumptions, this ensures that the inverse of a homeomorphism which is blow-Nash is also blow-Nash. Such maps are involved in the definition of the blow-Nash equivalence. In the second part, we associate a power series to an analytic germ, called the zeta function of the germ. This construction generalizes the zeta functions of Koike-Parusiński and Fichou. Furthermore, it admits a convolution formula while being an invariant for the blow-Nash equivalence
Dauguet, Simon. "Généralisations du critère d’indépendance linéaire de Nesterenko." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112085/document.
Full textThis Ph.D. thesis lies in the path opened by Apéry who proved the irrationality of ζ(3) andalready followed by Ball-Rivoal who proved that there are infinitely many odd integers at which Riemann zeta function takes irrational values. A fundamental tool in the proof of Ball-Rivoal is Nesterenko’s linear independence criterion. This criterion has been generalized by Fischler and Zudilin to use common divisors of the coefficients of linear forms, under some restrictive assumptions. Then Fischler gave another generalization for simultaneous approximations (instead of small Z-linear combinations).In this Ph.D. thesis, we improve this last result by greatly weakening the assumption on thedivisors. We prove also an analogous linear independence criterion in the spirit of Siegel. Inanother part joint with Zudilin, we construct simultaneous linear approximations to ζ(2) and ζ(3) using hypergeometric identitites. These linear approximations allow one to prove at thesame time the irrationality of ζ(2) and that of ζ(3). Then, using a criterion from the previouspart, we deduce a lower bound on Z-linear combinations of 1, ζ(2) and ζ(3), under somestrong divisibility hypotheses on the coefficients (so that the Q-linear independence of thesethree numbers still remains an open problem)
Ben, Yamin Rosen Barbara. "Fonction et régulation de l'ADN polymérase zêta au cours de la réplication de l'ADN : conséquences sur la stabilité du génome. DNA Polymerase Zeta Contributes to Heterochromatin Replication to Prevent Genome Instability." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASS031.
Full textDNA replication is a fundamental process that ensures accurate duplication of the genetic information. Various perturbations can impede replication fork progression, and thus threatening genome integrity. To prevent fork collapse, replicative DNA polymerases can be replaced by error-prone DNA polymerases called translesion (TLS) polymerases, able to bypass DNA damage at the cost of increased mutations. Among TLS polymerases, Polζ is unique because inactivation of its catalytic subunit, REV3L, leads to embryonic lethality in mice underscoring its biological importance. However, little is known about its function and regulation in mammalian cells. We showed that loss of REV3L impairs S phase progression with a disruption of replication timing at specific genomic loci that replicate in mid-late S-phase, and this is associated with increased mutagenic events and aberrant epigenetic landscape. We also revealed that REV3L interacts with heterochromatin components and localizes in pericentromeric regions, suggesting that Polζ contributes to replicate heterochromatin regions to limit genome instability. In a second part, we discovered that REV3L protein is proteolytically processed by the endopeptidase TASP1 to generate two polypeptides that heterodimerize to form a stable complex that associates with REV7, likely representing the active complex of Polζ. We also found that REV3L is finely regulated in physiological conditions and after genotoxic stress at multiple levels: (1) transcriptionally, (2) proteolytically by TASP1 and (3) post-translationally by phosphorylation. Altogether these findings highlight a unique mechanism to control the function of an error-prone polymerase in mammalian cells. These data are particularly important given that Polζ is an important factor for tumor resistance to chemotherapeutic agents
Loeser, François. "Fonctions zeta locales d'igusa et singularites." Paris 7, 1988. http://www.theses.fr/1988PA077193.
Full textVelasquez, Castanon Oswaldo Balazard Michel. "Sur la répartition des zéros de certaines fonctions méromorphes liées à la fonction zêta de Riemann." S. l. : Bordeaux 1, 2008. http://ori-oai.u-bordeaux1.fr/pdf/2008/VELASQUEZ_OSWALDO_2008.pdf.
Full textIezzi, Annamaria. "Nombre de points rationnels des courbes singulières sur les corps finis." Thesis, Aix-Marseille, 2016. http://www.theses.fr/2016AIXM4027/document.
Full textIn this PhD thesis, we focus on some issues about the maximum number of rational points on a singular curve defined over a finite field. This topic has been extensively discussed in the smooth case since Weil's works. We have split our study into two stages. First, we provide a construction of singular curves of prescribed genera and base field and with many rational points: such a construction, based on some notions and tools from algebraic geometry and commutative algebra, yields a method for constructing, given a smooth curve X, another curve X' with singularities, such that X is the normalization of X', and the added singularities are rational on the base field and with the prescribed singularity degree. Then, using a Euclidian approach, we prove a new bound for the number of closed points of degree two on a smooth curve defined over a finite field.Combining these two a priori independent results, we can study the following question: when is the Aubry-Perret bound (the analogue of the Weil bound in the singular case) reached? This leads naturally to the study of the properties of maximal curves and, when the cardinality of the base field is a square, to the analysis of the spectrum of their genera
Lazzarini, Giovanni. "Sur la hauteur de tores plats." Thesis, Bordeaux, 2015. http://www.theses.fr/2015BORD0018/document.
Full textIn this thesis we consider the Epstein zeta function of Euclidean lattices, in order to study the problem of the minima of the height of the flat torus associated to a lattice. The height is defined as the first derivative at the point s = 0 of the spectral zeta function of the torus ; this function coincides, up to a factor, with the Epstein zeta function of the dual lattice of the given lattice. We describe a sufficient condition for a given lattice to be a stationary point of the height. In particular, by means of the theory of spherical designs, we show that a lattice which has a spherical 2-design on every shell is a stationary point of the height. We give an algorithm to check whether a given lattice satisfies this 2-design condition or not, and we give some tables of results in dimension up to 7. Then, we show that a lattice which realises a local minimum of the height is necessarily irreducible. Finally, we deal with some tori defined over the imaginary quadratic number fields, and we show a formula which gives their height as a limit of a sequence of heights of discrete complex tori
AMROUN, ABDELHAMID. "Systemes dynamiques perturbes sur une classe de fonctions zeta dynamiques." Paris 6, 1995. http://www.theses.fr/1995PA066245.
Full textLoeser, François. "Fonctions zêta locales d'Igusa et singularités." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb37615292t.
Full textPit, Vincent. "Codage du flot géodésique sur les surfaces hyperboliques de volume fini." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2010. http://tel.archives-ouvertes.fr/tel-00553138.
Full textDupertuis, Michel-Stéphane. "Sommes de puissances des coefficients des fonctions zêta de Dedekind /." [S.l.] : [s.n.], 2005. http://library.epfl.ch/theses/?nr=3356.
Full textCherif, Habib. "Mesure d'irrationnalité de valeurs de la fonction zéta de Carlitz sur F2 (T)." Grenoble 2 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb376038996.
Full textKadiri, Habiba Queffélec Hervé Ramaré Olivier. "Une région explicite sans zéro pour les fonctions L de Dirichlet." [S.l.] : [s.n.], 2002. https://iris.univ-lille1.fr/dspace.
Full textShieh, Yih-Dar. "Arithmetic Aspects of Point Counting and Frobenius Distributions." Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4108/document.
Full textThis thesis consists of two parts. Part 1 studies the decomposition of cohomology groups induced by automorphisms for a family of non-hyperelliptic genus 3 curves with involution, and I investigate the benefit of such decomposition in the computation of Frobenius using Kedlaya's algorithm. The involution of a curve C in this family induces a degree 2 map to an elliptic curve E, which gives a decomposition of the Jacobian of C into E and an abelian surface A, from which the Frobenius on C can be recovered. On E, the characteristic polynomial of the Frobenius can be computed using an efficient and fast algorithm. By working with the cohomology subgroup V of $H^1_{MW}(C)$, we get a constant speed-up over a straightforward application of Kedlaya's method to C. To my knowledge, this is the first use of decomposition of the cohomology induced by an isogeny decomposition of the Jacobian in Kedlaya's algorithm. In Part 2, I propose a new approach to Frobenius distributions and Sato-Tate groups, which uses the orthogonality relations of the irreducible characters of the compact Lie group USp(2g) and its subgroups. To this purpose, I first present a simple method to compute the irreducible characters of USp(2g), then I develop an algorithm based on the Brauer-Klimyk formula. The advantages of this new approach to Sato-Tate groups are examined in detail. The results show that the error grows slowly. I also use the family of genus 3 curves studied in Part 1 as a case study. The analyses and comparisons show that the character theory approach is a more intrinsic and very promising tool for studying Sato-Tate groups
Laigle, Guillaume. "Zea mays outer cell layer 4 (ZmOCL4) : fonction moléculaire et association avec des traits agronomiques." Lyon, École normale supérieure (sciences), 2008. http://www.theses.fr/2008ENSL0485.
Full textFeng, Lu. "Connexion entre modèles dynamiques de communautés végétales et modèles architecture-fonction – cas du modèle GreenLab." Thesis, Montpellier 2, 2011. http://www.theses.fr/2011MON20190/document.
Full textPlant architecture implies the development of both topological and geometrical structure over time, which determines resource acquisition, in the meantime interacts with physiological processes. However it has long been overlooked in traditional community dynamics models. Based on plant architecture, functional-structural plant models (FSPM) have showed their particular capability in addressing questions like interactions between plant and environment (e.g. light interception), between structure development and growth (e.g. carbon allocation), as they take into account morphogenesis with organ-level explicit descriptions. Anyway, high demand of time and memory for simulation and inverse calculation prevents FSPM from further agricultural or sylvicultural practice. This thesis attempts the combination of a mathematic FSPM GreenLab and a crop model or an empirical forest model (EFM) to introduce individual-based architectural support for community growth study. In the case of maize, disagreement from stand level (by crop model PILOTE) and individual level (by GreenLab) growth simulations implies different emergence time of individuals, which is used to quantify the distribution. By supposing that theoretical projective area (Sp) is determined by the growth situation and the final size of individual architecture, the variance of Sp is reversely computed with the variance of organ compartment measurements to characterize individual variability. In the case of Black pine, architecture dynamics built in GreenLab according to Rauh's model (architecture model for pine tree) are adapted to the simulation of an EFM PNN. As a consequence, thinning scenarios are well incorporated in the final stand visualization. From these preliminary applications, following conclusions can be drawn: (i) FSPM is able to provide individual performances (i.e. organ development and expansion) inside an area of crop field for crop models. (ii) The crop model may regulate the combined form of individuals from integral level. Both aspects are significant to deepen understanding of stand growth. (iii) Architecture conceptions integrated in FSPM may be adapted to EFM simulations for a data-driven visualization. (iv) EFM can guarantee ecological/sylvicultural function for 3D stand visualization. To take into consideration biomass processes, additional observations are needed. As models are independent in combinations, the same methods can be extended to linkage with other stand models
Haloui, Safia-Christine. "Sur le nombre de points rationels des variétés abéliennes sur les corps finis." Thesis, Aix-Marseille 2, 2011. http://www.theses.fr/2011AIX22038/document.
Full textThe characteristic polynomial of an abelian variety over a finite field is defined to be the characteristic polynomial of its Frobenius endomorphism. The first part of this thesis is devoted to the study of the characteristic polynomials of abelian varieties of small dimension. We describe the set of polynomials which occur in dimension 3 and 4; the analogous problem for elliptic curves and abelian surfaces has been solved by Deuring, Waterhouse and Rück.In the second part, we give upper and lower bounds on the number of points on abelian varieties over finite fields. Next, we give lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum and minimum number of points on Jacobian surfaces
Ai, Xiaohua. "Arithmetic of values of L-functions and generalized multiple zeta values over number fields." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066394/document.
Full textThe principal objective of this thesis is to generalize multiple zeta values to the case when the ground field Q is replaced by an arbitrary number field. The motivation behind the construction comes from the work of A. Goncharov on Hodge correlators and the plectic philosophy of J. Nekovar and A. Scholl. We start by constructing the higher plectic Green functions. Hecke once proved that the integral of the restriction of a suitable Eisenstein series over $\mathbb{Q}$ to the idele class group of a given number field multipled an idele class character of finite order is equal to the L-function of this charator. By replacing Eisenstein seris with our higher plectic Green functions, a similar integration gives new results, which give the generalization of classical multiple zeta values and multiple polyloarithms. According to the plectic principle, a non-trivial subgroup of the ring of integers of a given number field plays an essential role in this work
Gautier-Baudhuit, Franck. "Etude du prolongement méromorphe de fonctions zëta spectrales grâce à la géométrie non commutative." Thesis, Université Clermont Auvergne (2017-2020), 2017. http://www.theses.fr/2017CLFAC042/document.
Full textThe thesis is about a families of zeta functions (Dirichlet series) that may be associated to certain algebras of Hilbert space operators. In this thesis, the main question in studying these zeta functions is to establish their meromorphic continuation from a half-plane in the complex plane to the full plane.Following an idea of Nigel Higson, we develop, in part I, a method for proving the existence of a meromorphic continuation for some spectral zeta functions. The method is based on algebras of generalized differential operators. The more important tool is the reduction sequence. The main theorem states, under some conditions, the existence of a meromorphic continuation, a localization of the poles in supports of arithmetic sequences and an upper bound of their order. A formulation of the method into the framework of Connes and Moscovici, the regular spectral triples, setting in part II. In the third part, we give an application for zeta functions associate to a Laplace-type operator on a smooth, closed manifold. This example was initially treated in this way by Nigel Higson in 2006. We give another application for zeta functions associate to the noncommutative torus. In part IV, using the work of Dominique Manchon on algebras of pseudodifferential operators associated to unitary representations of nilpotent Lie group, we construct new spectral triples. In part V, set the main application of the method. We applicate the reduction method for some algebras of generalized differential operators, arising from a Kirillov representation of a class of nilpotent Lie algebras
Winckler, Bruno. "Intersection arithmétique et problème de Lehmer elliptique." Thesis, Bordeaux, 2015. http://www.theses.fr/2015BORD0233/document.
Full textIn this thesis we consider the problem of lower bounds for the canonical height onelliptic curves, aiming for the conjecture of Lehmer. Our main diophantine result isan explicit version of a theorem of Laurent (who proved this conjecture for ellipticcurves with CM up to a " exponent) using arithmetic intersection, enlightening thedependence with parameters linked to the elliptic curve ; such a result can be motivatedby the conjecture of Lang, hoping for a lower bound proportional to, roughly,the Faltings height of the curve.Nevertheless, our dissertation begins with a part dedicated to a completely explicitversion of the density theorem of Chebotarev, along the lines of a previous workdue to Lagarias and Odlyzko, which will be crucial to investigate the elliptic Lehmerproblem. We also obtain upper bounds for Siegel zeros, and for the smallest primeideal whose Frobenius is in a fixed conjugacy class
Charvolin, Delphine. "Études structurales des protéines de transfert de lipides du mais et du blé : caractérisation de l'interaction entre protéine et lipide." Grenoble 1, 1997. http://www.theses.fr/1997GRE10008.
Full textLechasseur, Jean-Sébastien. "Mesure de Mahler supérieure de certaines fonctions rationelles." Thèse, 2012. http://hdl.handle.net/1866/8989.
Full textThe 2-higher and 3-higher Mahler measure of some rational functions are given in terms of special values of the Riemann zeta function, a Dirichlet L-function and multiple polylogarithms. Our results generalize those obtained in [10] for the classical Mahler measure. We improve one of our results by providing a reduction for a certain linear combination of multiple polylogarithms in terms of Dirichlet L-functions. We conclude by giving a complete reduction of a special case.
CHAUMARD, Laurent. "Sur la discrétisation des déterminants des opérateurs de Schrödinger." Phd thesis, 2003. http://tel.archives-ouvertes.fr/tel-00007117.
Full textOuimet, Frédéric. "Extremes of log-correlated random fields and the Riemann zeta function, and some asymptotic results for various estimators in statistics." Thèse, 2019. http://hdl.handle.net/1866/22667.
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