Some consequences of Schanuel's conjecture

A pseudoexponential-like structure on the algebraic numbers

Mantova, V

December 2015

Pseudoexponential fields are exponential fields similar to complex exponentiation which satisfy the ...

Multiplicative independence of algebraic numbers and expressions

Richardson, Daniel

October 2001

AbstractA list of complex numbers is multiplicatively independent if no integral–exponent power prod...

Conditions for the algebraic independence of certain series involving continued fractions and generated by linear recurrences

Tanaka, Taka-aki

December 2009

AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...

Some consequences of Schanuel's conjecture

Cheng, Chuangxun
Dietel, Brian
Herblot, Mathilde
Huang, Jingjing
Krieger, Holly
Marques, Diego
Mason, Jonathan
Mereb, Martin
Wilson, S. Robert

June 2009

AbstractWe study the algebraic independence of two inductively defined sets. Under the hypothesis of...

Some consequences of schanuel's conjecture in exponential rings

Terzo G.

January 2008

In last years Schanuel's Conjecture has played a fundamental role in Transcendental Number Theory an...

Some consequences of Schanuel's Conjecture in exponential rings

TERZO, Giuseppina

January 2008

In last years Schanuel's Conjecture has played a fundamental role in Transcendental Number Theory an...

A Schanuel property for exponentially transcendental powers

Bays, Martin
Kirby, Jonathan
Wilkie, A. J.

January 2010

We prove the analogue of Schanuel's conjecture for raising to the power of an exponentially transcen...

A Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields

Kuhlmann, Salma
Matusinski, Mickael,
Shkop, Ahuva C.

January 2012

We consider a valued field of characteristic 0 with embedded residue field. We fix an additive compl...

A Schanuel Property for Exponetially Transcendental Powers

Bays, Martin
Kirby, Jonathan
Wilkie, A.J.

October 2009

We prove the analogue of Schanuel’s conjecture for raising to the power of an exponentially transcen...

Exponential sums equations and the Schanuel conjecture

Zilber, B

February 2002

A uniform version of the Schanuel conjecture is discussed that has some model-theoretical motivation...

A note on the decidability of exponential terms

D'Aquino P.
Terzo G.

January 2007

In this paper we prove, modulo Schanuel's Conjecture, that there are algorithms which decide if two ...

Exponential algebraicity in exponential fields

Kirby, J

January 2010

The exponential algebraic closure operator in an exponential field is always a pregeometry and its d...

On a variant of Schanuel conjecture for the Carlitz exponential

Pellarin, F

March 2017

Small modificationsWe introduce and discuss a variant of Schanuel conjecture in the framework of the...

Interpolation Formulas and Auxiliary Functions

Roy, Damien

June 2002

AbstractWe prove an interpolation formula for “semi-cartesian products” and use it to study several ...

Polynomial–exponential equations and Zilber's conjecture

Mantova, V
Zannier, U

April 2016

Assuming Schanuel's conjecture, we prove that any polynomial–exponential equation in one variable mu...

A pseudoexponential-like structure on the algebraic numbers

Mantova, V

December 2015

Pseudoexponential fields are exponential fields similar to complex exponentiation which satisfy the ...

Multiplicative independence of algebraic numbers and expressions

Richardson, Daniel

October 2001

AbstractA list of complex numbers is multiplicatively independent if no integral–exponent power prod...

Conditions for the algebraic independence of certain series involving continued fractions and generated by linear recurrences

Tanaka, Taka-aki

December 2009

AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...

Some consequences of Schanuel's conjecture

Cheng, Chuangxun
Dietel, Brian
Herblot, Mathilde
Huang, Jingjing
Krieger, Holly
Marques, Diego
Mason, Jonathan
Mereb, Martin
Wilson, S. Robert

June 2009

AbstractWe study the algebraic independence of two inductively defined sets. Under the hypothesis of...

Some consequences of schanuel's conjecture in exponential rings

Terzo G.

January 2008

In last years Schanuel's Conjecture has played a fundamental role in Transcendental Number Theory an...

Some consequences of Schanuel's Conjecture in exponential rings

TERZO, Giuseppina

January 2008

In last years Schanuel's Conjecture has played a fundamental role in Transcendental Number Theory an...

A Schanuel property for exponentially transcendental powers

Bays, Martin
Kirby, Jonathan
Wilkie, A. J.

January 2010

We prove the analogue of Schanuel's conjecture for raising to the power of an exponentially transcen...

A Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields

Kuhlmann, Salma
Matusinski, Mickael,
Shkop, Ahuva C.

January 2012

We consider a valued field of characteristic 0 with embedded residue field. We fix an additive compl...

A Schanuel Property for Exponetially Transcendental Powers

Bays, Martin
Kirby, Jonathan
Wilkie, A.J.

October 2009

We prove the analogue of Schanuel’s conjecture for raising to the power of an exponentially transcen...

Exponential sums equations and the Schanuel conjecture

Zilber, B

February 2002

A uniform version of the Schanuel conjecture is discussed that has some model-theoretical motivation...

A note on the decidability of exponential terms

D'Aquino P.
Terzo G.

January 2007

In this paper we prove, modulo Schanuel's Conjecture, that there are algorithms which decide if two ...

Exponential algebraicity in exponential fields

Kirby, J

January 2010

The exponential algebraic closure operator in an exponential field is always a pregeometry and its d...

On a variant of Schanuel conjecture for the Carlitz exponential

Pellarin, F

March 2017

Small modificationsWe introduce and discuss a variant of Schanuel conjecture in the framework of the...

Interpolation Formulas and Auxiliary Functions

Roy, Damien

June 2002

AbstractWe prove an interpolation formula for “semi-cartesian products” and use it to study several ...

Polynomial–exponential equations and Zilber's conjecture

Mantova, V
Zannier, U

April 2016

Assuming Schanuel's conjecture, we prove that any polynomial–exponential equation in one variable mu...

A pseudoexponential-like structure on the algebraic numbers

Mantova, V

December 2015

Pseudoexponential fields are exponential fields similar to complex exponentiation which satisfy the ...

Multiplicative independence of algebraic numbers and expressions

Richardson, Daniel

October 2001

AbstractA list of complex numbers is multiplicatively independent if no integral–exponent power prod...

Conditions for the algebraic independence of certain series involving continued fractions and generated by linear recurrences

Tanaka, Taka-aki

December 2009

AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...

Some consequences of Schanuel's conjecture

Abstract

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Some consequences of Schanuel's conjecture

Abstract

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