scientific article

zbMath0853.11067MaRDI QIDQ3141454

Alan Adolphson, Steven I. Sperber

Publication date: 9 January 1997

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002211041

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zbMATH Keywords

\(L\)-functionNewton polyhedramultiplicative characters\(p\)-adic Newton polygon\(l\)-adic cohomology groupsnumber of roots of the \(L\)-function having a given (archimedean) weighttwisted exponential sums

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Estimates on exponential sums (11L07) Exponential sums (11T23) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (15)

On the Newton polygons of twisted \(L\)-functions of binomials ⋮ \(\ell\)-adic GKZ hypergeometric sheaves and exponential sums ⋮ Generic twisted \(T\)-adic exponential sums of polynomials ⋮ Twisted exponential sums of polynomials in one variable ⋮ On inverted Kloosterman sums over finite fields ⋮ On the zeta function of a complete intersection ⋮ On \(L\)-functions of twisted \(T\)-adic exponential sums ⋮ Exponential sums and \(\ell\)-adic cohomology: A survey. ⋮ Generic twisted \(T\)-adic exponential sums of binomials ⋮ Exponential sums and polynomial congruences along \(p\)-adic submanifolds ⋮ The Burgess bound via a trivial delta method ⋮ The \(L\)-functions of twisted Witt extensions ⋮ Hypergeometric functions over finite fields ⋮ Weights of twisted exponential sums ⋮ p-Adic estimates of abelian Artin L-functions on curves

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