Add to ORKGwebsupport1.citytech.cuny.edu/faculty/hschoutens/ Abstract. We construct a computable, computably categorical field of infinite transcendence degree over the rational numbers, using the Fermat polynomials and assorted results from algebraic geometry. We also show that this field has an intrinsically computable (infinite) transcendence basis
International audienceThe paper is aimed at recalling the notion of transcendence order over l Q p a...
Let $b \ge 2$ be an integer. We prove that the $b$-adic expansion of every irrational algebraic numb...
Our objects of study are infinite sequences and how they can be transformed into each other. As tran...
© 2019, Springer Nature Switzerland AG. We show that for both the unary relation of transcendence an...
AbstractUsing a constructive field-ideal correspondence it is shown how to compute the transcendence...
The effective content of ordered fields is investigated using tools of computability theory and reve...
Given any field K, there is a function field F/K in one variable containing definable transcendental...
Using a constructive field-ideal correspondence it is shown how to compute the transcendence degree ...
This tutorial will introduce listeners to many questions that can be asked about computable processe...
In [2], Downey and Greenberg use the ordinals below ε0 to bound the number of mind-changes of comput...
AbstractConfirming a conjecture of Hjorth and Kechris (Ann. Pure Appl. Logic 82 (1996) 221–272), we ...
Boris Adamczewski and Yann Bugeaud Let b ≥ 2 be an integer. We prove that the b-ary expansion of eve...
We study transcendence properties of certain infinite products of cyclotomic polynomials. In particu...
© 2020, Springer Science+Business Media, LLC, part of Springer Nature. It is proved that the field o...
AbstractBy means of Gröbner basis techniques algorithms for solving various problems concerning subf...
International audienceThe paper is aimed at recalling the notion of transcendence order over l Q p a...
Let $b \ge 2$ be an integer. We prove that the $b$-adic expansion of every irrational algebraic numb...
Our objects of study are infinite sequences and how they can be transformed into each other. As tran...
© 2019, Springer Nature Switzerland AG. We show that for both the unary relation of transcendence an...
AbstractUsing a constructive field-ideal correspondence it is shown how to compute the transcendence...
The effective content of ordered fields is investigated using tools of computability theory and reve...
Given any field K, there is a function field F/K in one variable containing definable transcendental...
Using a constructive field-ideal correspondence it is shown how to compute the transcendence degree ...
This tutorial will introduce listeners to many questions that can be asked about computable processe...
In [2], Downey and Greenberg use the ordinals below ε0 to bound the number of mind-changes of comput...
AbstractConfirming a conjecture of Hjorth and Kechris (Ann. Pure Appl. Logic 82 (1996) 221–272), we ...
Boris Adamczewski and Yann Bugeaud Let b ≥ 2 be an integer. We prove that the b-ary expansion of eve...
We study transcendence properties of certain infinite products of cyclotomic polynomials. In particu...
© 2020, Springer Science+Business Media, LLC, part of Springer Nature. It is proved that the field o...
AbstractBy means of Gröbner basis techniques algorithms for solving various problems concerning subf...
International audienceThe paper is aimed at recalling the notion of transcendence order over l Q p a...
Let $b \ge 2$ be an integer. We prove that the $b$-adic expansion of every irrational algebraic numb...
Our objects of study are infinite sequences and how they can be transformed into each other. As tran...