Exponential Sums On An. IV

Alan Adolphson, Steven Sperber

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We find new conditions on a polynomial over a finite field that guarantee that the exponential sum defined by the polynomial has only one nonvanishing p -adic cohomology group, hence the L-function associated to the exponential sum is a polynomial or the reciprocal of a polynomial.

Original languageEnglish (US)
Pages (from-to)747-764
Number of pages18
JournalInternational Journal of Number Theory
Issue number5
StatePublished - 2009


  • Exponential sum
  • L-function
  • p-adic cohomology


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