Rationality of trace and norm \(L\)-functions
type: Item
instance of: scholarly article
title: Rationality of trace and norm \(L\)-functions
zbMATH Open document ID: 1298.14023
DOI: 10.1215/00127094-1593371
author: Antonio Rojas-León
published in: Duke Mathematical Journal
publication date: 2012-07-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/1007.5324
full work available at URL: https://projecteuclid.org/euclid.dmj/1338987168
Mathematics Subject Classification ID: 14F20
Mathematics Subject Classification ID: 11S40
Mathematics Subject Classification ID: 11L07
zbMATH DE Number: 6053749
zbMATH Keywords: \(L\)-function
zbMATH Keywords: convolution
MaRDI profile type: Publication
OpenAlex ID: W3124991743
arXiv ID: 1007.5324
cites work: Q3762606
cites work: Character sums, automorphic forms, equidistribution, and Ramanujan graphs. Part II. Eigenvalues of Terras
cites work: La conjecture de Weil. I
cites work: La conjecture de Weil. II
cites work: Hodge cycles, motives, and Shimura varieties
cites work: Moment \(L\)-functions, partial \(L\)-functions and partial exponential sums
cites work: Q4002278
cites work: \(\ell\)-adic perverse sheaves over a torus
cites work: On the monodromy groups attached to certain families of exponential sums
cites work: Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
cites work: Exponential Sums and Differential Equations. (AM-124)
cites work: Estimates for Soto-Andrade sums.
cites work: A note on exponential sums
cites work: Rigid Local Systems. (AM-139)
cites work: Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess
cites work: Convolution and Equidistribution
cites work: Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
cites work: Fourier transformat, constants of the functional equations and Weil conjecture
cites work: Character sums over norm groups
cites work: Improvements of the Weil bound for Artin-Schreier curves
Recommended article: On the norm of the trace functions and applications
Recommended article: On the trace of certain rational operator functions
Recommended article: Rational inner functions and their Dirichlet type norms
Recommended article: l-adic L-functions and rational function measures
Recommended article: Q5597388
Recommended article: Q5596001
Recommended article: Q3791687
Recommended article: Q3364130
Recommended article: Theorems on the traces and multipliers of functions from Lizorkin-Triebel spaces
Recommended article: [Russian Text Ignored]
reviewed by: Lei Fu
description: scientific article; zbMATH DE number 6053749