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Modularity of a certain Calabi-Yau threefold and combinatorial congruences
Authors:Eric?Mortenson  author-information"  >  author-information__contact u-icon-before"  >  mailto:mort@math.psu.edu"   title="  mort@math.psu.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics, University of Wisconsin, Madison, Wisconsin, 53706
Abstract:We prove a certain Calabi-Yau threefold is modular in the sense that the number of points on its reduction modulo p is expressed in terms of the pth coefficient of a weight 4 newform in S40(6)). We also give a mod p2 combinatorial expression for these coefficients. 2000 Mathematics Subject Classification: 11G25, 11G40
Keywords:Calabi-Yau threefold  Modular forms  Trace formula
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