A correction to "Counting rational points on a certain exponential-algebraic surface''.

A correction to "Counting rational points on a certain exponential-algebraic surface''.

This note is to correct a part of the paper [1]. All the theorems remain correct (though some of the implied constants will be adversely affected). I am very grateful to John Armitage for pointing out my error. The mistake occurs in the early lines of the proof of Theorem 6.1, page 507.

Bibliografiske detaljer
Hovedforfatter:	Pila, J
Format:	Journal article
Udgivet:	Association des Annales de l'Institut Fourier 2017

Lignende værker

COUNTING RATIONAL POINTS ON A CERTAIN EXPONENTIAL-ALGEBRAIC SURFACE
af: Pila, J
Udgivet: (2010)

Counting rational points on algebraic varieties
af: Heath-Brown, D, et al.
Udgivet: (2006)

Counting rational points on algebraic varieties
af: Browning, T, et al.
Udgivet: (2006)

Counting rational points on algebraic varieties
af: Heath-Brown, D
Udgivet: (2006)

Counting rational points on algebraic varieties
af: Heath-Brown, D
Udgivet: (2006)

Rational points on a subanalytic surface
af: Pila, J
Udgivet: (2005)

Counting algebraic numbers in short intervals with rational points
af: Vasily I. Bernik, et al.
Udgivet: (2019-04-01)

Rational toral ranks in certain algebras
af: Yasusuke Kotani, et al.
Udgivet: (2004-01-01)

Counting rational points on quadric surfaces
af: Browning, T, et al.
Udgivet: (2018)

Counting rational points on quadric surfaces
af: Tim Browning, et al.
Udgivet: (2018-09-01)

Counting rational points of two classes of algebraic varieties over finite fields
af: Guangyan Zhu, et al.
Udgivet: (2023-11-01)

On the algebraic points of a definable set
af: Pila, J
Udgivet: (2009)

Note on the rational points of a pfaff curve
af: Pila, J
Udgivet: (2005)

The rational points of a definable set
af: Pila, J, et al.
Udgivet: (2006)

Counting rational points on hypersurfaces
af: Heath-Brown, D, et al.
Udgivet: (2005)

Counting rational points on hypersurfaces
af: Browning, T, et al.
Udgivet: (2005)

Rational points on a certain genus 2 curve
af: Nguyen, Xuan Tho
Udgivet: (2023-09-01)

The distribution of rational points on algebraic varieties
af: Heath-Brown, D
Udgivet: (2007)

Counting points on curves over families in polynomial time
af: Pila, J
Udgivet: (2005)

Counting rational points on smooth cyclic covers
af: Heath-Brown, D, et al.
Udgivet: (2012)

Counting rational points on smooth cyclic covers
af: Heath-Brown, D, et al.
Udgivet: (2012)

Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type
af: Pila, J
Udgivet: (2009)

Rational points in periodic analytic sets and the Manin-Mumford conjecture
af: Pila, J, et al.
Udgivet: (2008)

Rational points on Grassmannians and unlikely intersections in tori
af: Capuano, L, et al.
Udgivet: (2016)

A generic algebra associated to certain Hecke algebras
af: Doty, S, et al.
Udgivet: (2004)

A generic algebra associated to certain Hecke algebras
af: Doty, S, et al.
Udgivet: (2004)

Number theory - Rational points in periodic analytic sets and the Manin-Mumford conjecture
af: Pila, J, et al.
Udgivet: (2008)

Integer points on the dilation of a subanalytic surface
af: Pila, J
Udgivet: (2004)

On certain strongly quasihereditary algebras
af: Gomes Cipriano Nabais Conde, T
Udgivet: (2016)

Derivations of certain operator algebras
af: Jiankui Li, et al.
Udgivet: (2000-01-01)

The number of rational points of certain quartic diagonal hypersurfaces over finite fields
af: Junyong Zhao, et al.
Udgivet: (2020-03-01)

Certain integrals involving logarithmic and exponential functions
af: M. Aslam Chaudhry, et al.
Udgivet: (1994-01-01)

Certain exponential type m-convexity inequalities for fractional integrals with exponential kernels
af: Hao Wang, et al.
Udgivet: (2022-01-01)

Semi-integration of certain algebraic expressions
af: M.I. Qureshi, et al.
Udgivet: (2022-03-01)

Semi-integration of certain algebraic expressions
af: M.I. Qureshi, et al.
Udgivet: (2022-03-01)

O-minimality and certain atypical intersections
af: Habegger, P, et al.
Udgivet: (2016)

SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES
af: Pila, J
Udgivet: (2014)

Cyclic cohomology of certain nuclear Fréchet algebras and DF algebras
af: Lykova Zinaida
Udgivet: (2008-09-01)

A topological isomorphism invariant for certain AF algebras
af: Ryan J. Zerr
Udgivet: (2005-01-01)

Quasianalyticity in certain Banach function algebras
af: Feinstein, JF, et al.
Udgivet: (2017)