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

DOI10.1016/j.jnt.2015.09.020zbMath1336.11076OpenAlexW2212760481MaRDI QIDQ897557

Jinbang Yang, Yi Ouyang

Publication date: 7 December 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.09.020

zbMATH Keywords

Newton polygon\(L\)-function exponential sum

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23)

Related Items (6)

On the Newton polygons of twisted \(L\)-functions of binomials ⋮ Newton polygons of \(L\)-functions of polynomials \(x^d + a x^{d - 1}\) with \(p \equiv -1 \bmod d\) ⋮ Newton polygon of \(L\) function of \(x^d + \lambda x^{d -1} + \mu x \) ⋮ Exponential sums over finite fields ⋮ On exponential sums of \(x^d+\lambda x^e\) with \(p\equiv e\pmod d\) ⋮ Newton polygon of exponential sums in two variables with triangular base

Cites Work

• Newton slopes for Artin-Schreier-Witt towers
• Generic twisted \(T\)-adic exponential sums of binomials
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• \(T\)-adic exponential sums over finite fields
• Newton polyhedra and the degree of the L-function associated to an exponential sum
• Newton polygons of \(L\)-functions of polynomials of the form \(X^{d}+\lambda X\).
• Newton polygons of zeta functions and \(L\) functions
• The \(L\)-functions of Witt coverings
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• p -adic variation of L functions of one variable exponential sums, I

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