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Hilbert's seventh problem

Index Hilbert's seventh problem

Hilbert's seventh problem is one of David Hilbert's list of open mathematical problems posed in 1900. [1]

15 relations: Alan Baker (mathematician), Alexander Gelfond, Algebraic number, American Mathematical Society, Angle, Baker's theorem, David Hilbert, Fields Medal, Gelfond–Schneider constant, Gelfond–Schneider theorem, Hilbert's problems, Irrational number, Isosceles triangle, Theodor Schneider, Transcendental number.

Alan Baker (mathematician)

Alan Baker (19 August 1939 – 4 February 2018) was an English mathematician, known for his work on effective methods in number theory, in particular those arising from transcendental number theory.

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Alexander Gelfond

Alexander Osipovich Gelfond (Алекса́ндр О́сипович Ге́льфонд; 24 October 1906 – 7 November 1968) was a Soviet mathematician.

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Algebraic number

An algebraic number is any complex number (including real numbers) that is a root of a non-zero polynomial (that is, a value which causes the polynomial to equal 0) in one variable with rational coefficients (or equivalently – by clearing denominators – with integer coefficients).

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Angle

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

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Baker's theorem

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

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

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Fields Medal

The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years.

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Gelfond–Schneider constant

The Gelfond–Schneider constant or Hilbert number is two to the power of the square root of two: which was proved to be a transcendental number by Rodion Kuzmin in 1930.

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Gelfond–Schneider theorem

In mathematics, the Gelfond–Schneider theorem establishes the transcendence of a large class of numbers.

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Hilbert's problems

Hilbert's problems are twenty-three problems in mathematics published by German mathematician David Hilbert in 1900.

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Irrational number

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.

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Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

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Theodor Schneider

Theodor Schneider (7 May 1911, Frankfurt am Main – 31 October 1988, Freiburg im Breisgau) was a German mathematician, best known for providing proof of what is now known as the Gelfond–Schneider theorem.

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Transcendental number

In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a nonzero polynomial equation with integer (or, equivalently, rational) coefficients.

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References

[1] https://en.wikipedia.org/wiki/Hilbert's_seventh_problem

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