A note on a hyper-cubic Mahler measure and associated Bessel integral
Identifieur interne : 001404 ( PascalFrancis/Checkpoint ); précédent : 001403; suivant : 001405A note on a hyper-cubic Mahler measure and associated Bessel integral
Auteurs : M. L. Glasser [États-Unis]Source :
- Journal of physics. A, Mathematical and theoretical : (Print) [ 1751-8113 ] ; 2012.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
The Mahler measure for the n-variable polynomial k+Σ(xj + 1/xj) is reduced to a single integral of the n-th power of the modified Bessel function I0. Several special cases are examined in detail.
Affiliations:
Links toward previous steps (curation, corpus...)
Links to Exploration step
Pascal:13-0080434Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">A note on a hyper-cubic Mahler measure and associated Bessel integral</title><author><name sortKey="Glasser, M L" sort="Glasser, M L" uniqKey="Glasser M" first="M. L." last="Glasser">M. L. Glasser</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Physics, Clarkson University</s1><s2>Potsdam, NY 13699-5820</s2><s3>USA</s3><sZ>1 aut.</sZ></inist:fA14><country>États-Unis</country><wicri:noRegion>Potsdam, NY 13699-5820</wicri:noRegion></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">13-0080434</idno><date when="2012">2012</date><idno type="stanalyst">PASCAL 13-0080434 INIST</idno><idno type="RBID">Pascal:13-0080434</idno><idno type="wicri:Area/PascalFrancis/Corpus">000C42</idno><idno type="wicri:Area/PascalFrancis/Curation">005223</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">001404</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">001404</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">A note on a hyper-cubic Mahler measure and associated Bessel integral</title><author><name sortKey="Glasser, M L" sort="Glasser, M L" uniqKey="Glasser M" first="M. L." last="Glasser">M. L. Glasser</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Physics, Clarkson University</s1><s2>Potsdam, NY 13699-5820</s2><s3>USA</s3><sZ>1 aut.</sZ></inist:fA14><country>États-Unis</country><wicri:noRegion>Potsdam, NY 13699-5820</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Journal of physics. A, Mathematical and theoretical : (Print)</title><title level="j" type="abbreviated">J. phys., A, math. theor. : (Print)</title><idno type="ISSN">1751-8113</idno><imprint><date when="2012">2012</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Journal of physics. A, Mathematical and theoretical : (Print)</title><title level="j" type="abbreviated">J. phys., A, math. theor. : (Print)</title><idno type="ISSN">1751-8113</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Bessel functions</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Fonction Bessel</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The Mahler measure for the n-variable polynomial k+Σ(x<sub>j</sub> + 1/x<sub>j</sub>) is reduced to a single integral of the n-th power of the modified Bessel function I<sub>0</sub>. Several special cases are examined in detail.</div></front></TEI><inist><standard h6="B"><pA><fA01 i1="01" i2="1"><s0>1751-8113</s0></fA01><fA03 i2="1"><s0>J. phys., A, math. theor. : (Print)</s0></fA03><fA05><s2>45</s2></fA05><fA06><s2>49</s2></fA06><fA08 i1="01" i2="1" l="ENG"><s1>A note on a hyper-cubic Mahler measure and associated Bessel integral</s1></fA08><fA09 i1="01" i2="1" l="ENG"><s1>Lattice models and Integrability: a special Issue in honour of F Y Wu's 80th birthday</s1></fA09><fA11 i1="01" i2="1"><s1>GLASSER (M. L.)</s1></fA11><fA12 i1="01" i2="1"><s1>GUTTMANN (A.J.)</s1><s9>ed.</s9></fA12><fA12 i1="02" i2="1"><s1>JACOBSEN (J.L.)</s1><s9>ed.</s9></fA12><fA14 i1="01"><s1>Department of Physics, Clarkson University</s1><s2>Potsdam, NY 13699-5820</s2><s3>USA</s3><sZ>1 aut.</sZ></fA14><fA15 i1="01"><s1>University of Melbourne</s1><s2>Melbourne</s2><s3>AUS</s3><sZ>1 aut.</sZ></fA15><fA15 i1="02"><s1>Ecole Normale Supérieure de Paris</s1><s2>Paris</s2><s3>FRA</s3><sZ>2 aut.</sZ></fA15><fA20><s2>494002.01-494002.04</s2></fA20><fA21><s1>2012</s1></fA21><fA23 i1="01"><s0>ENG</s0></fA23><fA43 i1="01"><s1>INIST</s1><s2>577C</s2><s5>354000509022390020</s5></fA43><fA44><s0>0000</s0><s1>© 2013 INIST-CNRS. All rights reserved.</s1></fA44><fA45><s0>17 ref.</s0></fA45><fA47 i1="01" i2="1"><s0>13-0080434</s0></fA47><fA60><s1>P</s1></fA60><fA61><s0>A</s0></fA61><fA64 i1="01" i2="1"><s0>Journal of physics. A, Mathematical and theoretical : (Print)</s0></fA64><fA66 i1="01"><s0>GBR</s0></fA66><fC01 i1="01" l="ENG"><s0>The Mahler measure for the n-variable polynomial k+Σ(x<sub>j</sub> + 1/x<sub>j</sub>) is reduced to a single integral of the n-th power of the modified Bessel function I<sub>0</sub>. Several special cases are examined in detail.</s0></fC01><fC02 i1="01" i2="3"><s0>001B00</s0></fC02><fC03 i1="01" i2="3" l="FRE"><s0>Fonction Bessel</s0><s5>26</s5></fC03><fC03 i1="01" i2="3" l="ENG"><s0>Bessel functions</s0><s5>26</s5></fC03><fN21><s1>049</s1></fN21><fN44 i1="01"><s1>OTO</s1></fN44><fN82><s1>OTO</s1></fN82></pA></standard></inist><affiliations><list><country><li>États-Unis</li></country></list><tree><country name="États-Unis"><noRegion><name sortKey="Glasser, M L" sort="Glasser, M L" uniqKey="Glasser M" first="M. L." last="Glasser">M. L. Glasser</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Asie/explor/AustralieFrV1/Data/PascalFrancis/Checkpoint
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001404 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/PascalFrancis/Checkpoint/biblio.hfd -nk 001404 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Asie
|area= AustralieFrV1
|flux= PascalFrancis
|étape= Checkpoint
|type= RBID
|clé= Pascal:13-0080434
|texte= A note on a hyper-cubic Mahler measure and associated Bessel integral
}}
| This area was generated with Dilib version V0.6.33. |  |