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On the work of Basil Gordon

Authors:	Krishnaswami Alladi George E. Andrews Ken Ono Richard J. McIntosh

Affiliation:	^a Department of Mathematics, University of Florida, Gainesville, FL 32611, USA ^b Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA ^c Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706, USA ^d Department of Mathematics, University of Regina, Regina, Saskatchewan, Canada

Abstract:	A review is given of several aspects of the work of Basil Gordon. These include: Rogers-Ramanujan identities, plane partitions, the method of weighted words, modular forms and partition congruences, and the asymptotics of partitions and related q-series.

Keywords:	mmlsi1" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0097316505001962& _mathId=si1.gif& _pii=S0097316505001962& _issn=00973165& _acct=C000069490& _version=1& _userid=6211566& md5=f6150aea0a5046a18c0a1be6b379a892')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > formulatext" title=" click to view the MathML source" >Partitions mmlsi2" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0097316505001962& _mathId=si2.gif& _pii=S0097316505001962& _issn=00973165& _acct=C000069490& _version=1& _userid=6211566& md5=a9ec21148b3d9fed72056120881d9487')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > formulatext" title=" click to view the MathML source" >Rogers-Ramanujan type identities mmlsi3" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0097316505001962& _mathId=si3.gif& _pii=S0097316505001962& _issn=00973165& _acct=C000069490& _version=1& _userid=6211566& md5=07229d8dee9d4827cceb81ca1706739a')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > 14" border=" 0" style=" vertical-align:bottom" width=" 57" alt=" View the MathML source" title=" View the MathML source" src=" http://ars.els-cdn.com/content/image/1-s2.0-S0097316505001962-si3.gif" > Schur's theorem Gö llnitz's theorem Plane partitions Pfaffian Bender-Knuth conjecture Mock theta functions Asymptotic expansions Modular forms Ramanujan congruences Dyson's rank Galois representations Maass forms
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