A Schanuel Condition For Weierstrass Equations

Journal of Symbolic Logic 70 (2):631-638 (2005)
  Copy   BIBTEX

Abstract

I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answering a question of Zilber, and show that the linear independence condition in the statement cannot be relaxed.

Categories

Keywords

Reprint years

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,440

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Corrigendum to “A Schanuel Condition for Weierstrass Equations”.Jonathan Kirby - 2005 - Journal of Symbolic Logic 70 (3):1023-1023.
Modular Ax–Lindemann–Weierstrass with Derivatives.Jonathan Pila - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):553-565.
Consequences of Schanuel's condition for zeros of exponential terms.Helmut Wolter - 1993 - Mathematical Logic Quarterly 39 (1):559-565.
Some remarks on Schanuel's conjecture.Ricardo Bianconi - 2001 - Annals of Pure and Applied Logic 108 (1-3):15-18.
A Note on the Axioms for Zilber’s Pseudo-Exponential Fields.Jonathan Kirby - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):509-520.
Real Closed Exponential Subfields of Pseudo-Exponential Fields.Ahuva C. Shkop - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):591-601.
Das Fotoalbum fur Weierstrass. A Photo Album for Weierstrass.R. Bolling & I. Grattan-Guinness - 1995 - Annals of Science 52 (5):527-527.
Briefwechsel zwischen Karl Weierstrass und Sofja Kowalewskaja. Karl Weierstrass, Sofja Kowalewskaja, Reinhard Bolling.Karin Reich - 1995 - Isis 86 (4):672-673.
Henson and Rubel's theorem for Zilber's pseudoexponentiation.Ahuva C. Shkop - 2012 - Journal of Symbolic Logic 77 (2):423-432.
On the computational complexity of integral equations.Ker-I. Ko - 1992 - Annals of Pure and Applied Logic 58 (3):201-228.
Bi-Coloured Fields on the Complex Numbers.B. Zilber - 2004 - Journal of Symbolic Logic 69 (4):1171 - 1186.
Bi-coloured fields on the complex numbers.B. Zilber - 2004 - Journal of Symbolic Logic 69 (4):1171-1186.
Einstein equations and Fierz-Pauli equations with self-interaction in quantum gravity.H. -H. V. Borzeszkowski & H. -J. Treder - 1994 - Foundations of Physics 24 (6):949-962.
Model theory of special subvarieties and Schanuel-type conjectures.Boris Zilber - 2016 - Annals of Pure and Applied Logic 167 (10):1000-1028.
Briefwechsel zwischen Karl Weierstrass und Sofja Kowalewskaja by Karl Weierstrass; Sofja Kowalewskaja; Reinhard Bolling. [REVIEW]Karin Reich - 1995 - Isis 86:672-673.

Analytics

Added to PP
2010-08-24

Downloads
32 (#490,373)

6 months
12 (#203,198)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

A note on a theorem of Ax.Piotr Kowalski - 2008 - Annals of Pure and Applied Logic 156 (1):96-109.

Add more citations

References found in this work

A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.

Add more references