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Transcendental number theory information


Transcendental number theory is a branch of number theory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation with rational coefficients), in both qualitative and quantitative ways.

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Transcendental number theory

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

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Transcendental number

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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 of finite degree...

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Transcendental function

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In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function. In...

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List of mathematical theories

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

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Transcendental extension

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

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Liouville number

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Precisely, these are transcendental numbers that can be more closely approximated by rational numbers than any algebraic irrational number can be. In 1844...

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Diophantine approximation

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

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Number theory

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

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1

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is not a number, but the source of number. He also believed the number two is the embodiment of the origin of otherness. His number theory was recovered...

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Four exponentials conjecture

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

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0

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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...

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Auxiliary function

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

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Algebraic number theory

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Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations...

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Transcendentals

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The transcendentals (Latin: transcendentalia, from transcendere "to exceed") are "properties of being", nowadays commonly considered to be truth, unity...

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Transcendence

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

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Six exponentials theorem

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

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Class number problem

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Computational Algebraic Number Theory, Berlin: Springer, ISBN 978-3-540-55640-4 Baker, Alan (1990), Transcendental number theory, Cambridge Mathematical...

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Kurt Mahler

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

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David Masser

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Science at the University of Basel. He is known for his work in transcendental number theory, Diophantine approximation, and Diophantine geometry. With Joseph...

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List of theorems

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theorem (transcendental number theory) Sklar's theorem (statistics) Skoda–El Mir theorem (complex geometry) Skolem–Mahler–Lech theorem (number theory) Skolem–Noether...

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