Transcendental number theory is a branch of number theory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation...

In mathematics, a transcendental number is a real or complex number that is not algebraic: that is, not the root of a non-zero polynomial with integer...

obtained by a similar method. Diophantine approximations and transcendental number theory are very close areas that share many theorems and methods. Diophantine...

interest in transcendental number theory: if a number can be approximated better than any algebraic number, then it is a transcendental number. It is by...

In transcendental number theory, a mathematical discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms...

In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent...

In transcendental number theory, the Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. It states...

irrational and even transcendental. The question about the irrationality of Euler's constant γ is a long standing open problem in number theory. Other important...

In mathematics, specifically transcendental number theory, the six exponentials theorem is a result that, given the right conditions on the exponents,...

discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...

In mathematics, specifically transcendental number theory, Schanuel's conjecture is a conjecture about the transcendence degree of certain field extensions...

analytic subgroup theorem is a significant result in modern transcendental number theory. It may be seen as a generalisation of Baker's theorem on linear...

arithmetic conditions on the coefficients. They are of interest in transcendental number theory, and are closely related to G-functions. A power series with...

logarithms of several algebraic numbers is in the domain of transcendental number theory. If the restriction that a and b be algebraic is removed, the...

identity, meaning that any number multiplied by 1 equals the same number. 1 is by convention not considered a prime number. In digital technology, 1 represents...

mathematics, the Siegel G-functions are a class of functions in transcendental number theory introduced by C. L. Siegel. They satisfy a linear differential...

year numbering, the year 1 BC is numbered 0, the year 2 BC is numbered −1, and so forth. Grammatical number Mathematical constant Number theory Peano...

for his work on effective methods in number theory, in particular those arising from transcendental number theory. Alan Baker was born in London on 19...

In mathematics, specifically the field of transcendental number theory, the four exponentials conjecture is a conjecture which, given the right conditions...

or transcendental in Wiktionary, the free dictionary. Transcendence, transcendent, or transcendental may refer to: Transcendental number, a number that...

mathematics, auxiliary functions are an important construction in transcendental number theory. They are functions that appear in most proofs in this area of...

1988) was a German mathematician who worked in the fields of transcendental number theory, diophantine approximation, p-adic analysis, and the geometry...

Surgery theory Teichmüller theory Theory of equations Theory of statistics Topos theory Transcendental number theory Twistor theory Type theory Wheel theory...

mathematician who has written papers in algebraic independence theory and transcendental number theory. In 1997, he was awarded the Ostrowski Prize for his proof...

(number theory) Franel–Landau theorem (number theory) Gelfond–Schneider theorem (transcendental number theory) Glaisher's theorem (number theory) Green–Tao...

internationally known for his fundamental contributions to number theory (in the field of transcendental number theory, Diophantine approximation) and arithmetic geometry...

Aristotle's substance theory (being a substance belongs to being qua being) has been interpreted as a theory of transcendentals. Aristotle discusses only...

Also, global function fields are transcendental extensions of degree one of a finite field, and play in number theory in positive characteristic a role...

transcendental numbers. Closed-form numbers can be studied via transcendental number theory, in which a major result is the Gelfond–Schneider theorem, and...

In number theory, a Liouville number is a real number x {\displaystyle x} with the property that, for every positive integer n {\displaystyle n} , there...