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Relevant bibliographies by topics / Mahler measure

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Dissertations / Theses

Academic literature on the topic 'Mahler measure'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 January 2023

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Dissertations / Theses on the topic "Mahler measure"

1

Rogers, Mathew D. "Hypergeometric functions and Mahler measure." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/1420.

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The logarithmic Mahler measure of an n-variable Laurent polynomial, P(x1,...,xn) is defined by [expression]. Using experimental methods, David Boyd conjectured a large number of explicit relations between Mahler measures of polynomials and special values of different types of L-series. This thesis contains four papers which either prove or attempt to prove conjectures due to Boyd. The introductory chapter contains an overview of the contents of each manuscript.

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2

Staines, Matthew. "On the inverse problem for Mahler Measure." Thesis, University of East Anglia, 2012. https://ueaeprints.uea.ac.uk/48118/.

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We investigate a number of aspects of the inverse problem for Mahler Measure. If β is an algebraic unit, we demonstrate how to determine if there are any reciprocal numbers with measure β. We also give a formula for the number of integer polynomials with measure β and given degree.

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3

Chern, Shey-jey. "Estimates for the number of polynomials with bounded degree and bounded Mahler measure /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.

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4

De, Silva Dilum P. "Lind-Lehmer constant for groups of the form Z[superscript]n[subscript]p." Diss., Kansas State University, 2013. http://hdl.handle.net/2097/16244.

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5

Mohamed, Ismail Mohamed Ishak. "Lower bounds for heights in cyclotomic extensions and related problems." Diss., Manhattan, Kan. : Kansas State University, 2009. http://hdl.handle.net/2097/2274.

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6

Mehrabdollahei, Mahya. "La mesure de Mahler d’une famille de polynômes exacts." Thesis, Sorbonne université, 2022. https://accesdistant.sorbonne-universite.fr/login?url=https://theses-intra.sorbonne-universite.fr/2022SORUS170.pdf.

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Dans cette thèse, nous étudions la suite de mesures de Mahler d’une famille de polynômes à deux variables exacts et réguliers, que nous notons Pd := P0≤i+j≤d xiyj . Elle n’est bornée ni en volume, ni en genre de la courbe algébrique sous-jacente. Nous obtenons une expression pour la mesure de Mahler de Pd comme somme finie de valeurs spéciales du dilogarithme de Bloch-Wigner. Nous utilisons SageMath pour approximer m(Pd) pour 1 ≤ d ≤ 1000. En recourant à trois méthodes différentes, nous prouvons que la limite de la suite de mesures de Mahler de cette famille converge vers 92π2 ζ(3). De plus, n

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7

Santos, Jefferson Marques. "Altura e equidistribuição de pontos algébricos." Universidade Federal de Goiás, 2017. http://repositorio.bc.ufg.br/tede/handle/tede/7564.

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Submitted by Cássia Santos (cassia.bcufg@gmail.com) on 2017-07-05T14:04:12Z No. of bitstreams: 2 Dissertação - Jefferson Marques Santos - 2017.pdf: 1510253 bytes, checksum: fa6dbf92bac6614d3ce705a47bbe41b8 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-07-10T14:31:22Z (GMT) No. of bitstreams: 2 Dissertação - Jefferson Marques Santos - 2017.pdf: 1510253 bytes, checksum: fa6dbf92bac6614d3ce705a47bbe41b8 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>M

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8

Fhlathuin, Brid ni. "Mahler's measure on Abelian varieties." Thesis, University of East Anglia, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.296951.

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This thesis is a study of the integration of proximity functions over certain compact groups. Mean values are found of the ultrametric valuation of certain rational functions associated with a divisor on an abelian variety, and it is shown how these may be expressed in terms of an integral, thus finding the analogue, for an abelian variety, of Mahler's definition of the measure of a polynomial. These integrals are shown to arise in a manner which mimics classical Riemann sums, and their relation with the global canonical height is investigated. It is shown that the measure is a rational multip

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9

Condon, John Donald. "Mahler measure evaluations in terms of polylogarithms." Thesis, 2004. http://hdl.handle.net/2152/1218.

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10

Condon, John Donald Rodríguez Villegas Fernando. "Mahler measure evaluations in terms of polylogarithms." 2004. http://wwwlib.umi.com/cr/utexas/fullcit?p3142710.

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