Exponential sums nondegenerate relative to a lattice

Alan Adolphson, Steven Sperber

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Our previous theorems on exponential sums often did not apply or did not give sharp results when certain powers of a variable appearing in the polynomial were divisible by p. We remedy that defect in this paper by systematically applying ppower reduction, making it possible to strengthen and extend our earlier results.

Original languageEnglish (US)
Pages (from-to)881-906
Number of pages26
JournalAlgebra and Number Theory
Issue number8
StatePublished - 2009


  • Exponential sums
  • P-adic cohomology


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