Exponential sums over finite fields (Q2235607)

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Language	Label	Description	Also known as
English	Exponential sums over finite fields	scientific article

Statements

scholarly article

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Exponential sums over finite fields (English)

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Journal of Systems Science and Complexity

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publication date

21 October 2021

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zbMATH Keywords

degrees of exponential sums

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finite fields

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Gauss sums

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Kloosterman sums

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\(L\)-functions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11424-021-0066-8

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Some Arithmetic Properties of the Minimal Polynomials of Gauss Sums

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On the Rationality of the Zeta Function of an Algebraic Variety

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On Exponential Sums in Finite Fields

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The determination of Gauss sums

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Period polynomials and Gauss sums for finite fields

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On the distribution of Kummer sums.

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La conjecture de Weil. II

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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)

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Minimal polynomials and distinctness of Kloosterman sums

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Gauss sums and the p-adic \(\Gamma\)-function

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On the p-adic Theory of Exponential Sums

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Zeroes of Polynomials Over Finite Fields

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On a Theorem of Ax

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An Elementary Proof of a Theorem of Katz

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A note on the proof of a theorem of Katz

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$p$-adic estimates for exponential sums and the theorem of Chevalley-Warning

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A note on the distinctness of some Kloosterman sums

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Improvements of the Chevalley-Warning and the Ax-Katz Theorems

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Valuation of exponential sums and the generic first slope for Artin-Schreier curves

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Degree matrices and divisibility of exponential sums over finite fields

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Improvements upon the Chevalley-Warning-Ax-Katz-type estimates

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New open problems related to old conjectures by Helleseth

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The distribution of polynomials over finite fields

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A new criterion for permutation polynomials

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Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory

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Lenstra's proof of the Carlitz-Wan conjecture on exceptional polynomials: An elementary version

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When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II

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Schur covers and Carlitz's conjecture

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On exponential sums in finite fields. II

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Newton polyhedra and the degree of the L-function associated to an exponential sum

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Sums of Betti numbers in arbitrary characteristic.

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Computing zeta functions of arithmetic schemes

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Exponential sums and Newton polyhedra: cohomology and estimates

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Weights of exponential sums, intersection cohomology, and Newton polyhedra

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Weights of twisted exponential sums

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Newton polygons of zeta functions and \(L\) functions

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Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums

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p-adic hypergeometric functions and their cohomology

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Newton polygons of \(L\) functions associated with exponential sums of polynomials of degree four over finite fields

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Newton polygons for \(L\)-functions of exponential sums of polynomials of degree six over finite fields.

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Newton polygons of \(L\)-functions of polynomials of the form \(X^{d}+\lambda X\).

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p -adic variation of L functions of one variable exponential sums, I

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Generic \(A\)-family of exponential sums

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NEWTON POLYGONS FOR CHARACTER SUMS AND POINCARÉ SERIES

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Newton polygons for a variant of the Kloosterman family

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Regular decomposition of ordinarity in generic exponential sums

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On \(L\)-functions of certain exponential sums

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Hasse polynomials of \(L\)-functions of certain exponential sums

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\(T\)-adic exponential sums over finite fields

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Newton slopes for Artin-Schreier-Witt towers

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Newton polygons of \(L\)-functions of polynomials \(x^d + a x^{d - 1}\) with \(p \equiv -1 \bmod d\)

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Newton polygons of \(L\) functions of polynomials \(x^{d}+ax\)

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On a conjecture of Wan about limiting Newton polygons

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The stable property of Newton slopes for general Witt towers

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On slopes of \(L\)-functions of \(\mathbb{Z}_p\)-covers over the projective line

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Slopes for higher rank Artin–Schreier–Witt towers

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Generic Newton polygon for exponential sums in n variables with parallelotope base

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Slopes of eigencurves over boundary disks

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The eigencurve over the boundary of weight space

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PARALLEL WEIGHT 2 POINTS ON HILBERT MODULAR EIGENVARIETIES AND THE PARITY CONJECTURE

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Identifiers

zbMATH Open document ID

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10.1007/s11424-021-0066-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2235607

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