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.
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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.
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<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>
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<fA08 i1="01" i2="1" l="ENG"><s1>A note on a hyper-cubic Mahler measure and associated Bessel integral</s1>
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<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>
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<s9>ed.</s9>
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<fA12 i1="02" i2="1"><s1>JACOBSEN (J.L.)</s1>
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<fA15 i1="01"><s1>University of Melbourne</s1>
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<fA15 i1="02"><s1>Ecole Normale Supérieure de Paris</s1>
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<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>
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