Zeta functions of an infinite family of K3 surfaces

Scott Ahlgren, Ken Ono, David Penniston

Research output: Contribution to journalArticlepeer-review


We identify a parameterized family of K3 surfaces with generic Picard number 19, and we employ elementary methods to determine their local zeta functions. In addition, we explicitly determine those surfaces which are modular.

Original languageEnglish (US)
Pages (from-to)353-368
Number of pages16
JournalAmerican Journal of Mathematics
Issue number2
StatePublished - 2002

ASJC Scopus subject areas

  • Mathematics(all)


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