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Cyclotomic field and Euler's totient function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Cyclotomic field and Euler's totient function

Cyclotomic field vs. Euler's totient function

In number theory, a cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to, the field of rational numbers. In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to.

Similarities between Cyclotomic field and Euler's totient function

Cyclotomic field and Euler's totient function have 8 things in common (in Unionpedia): Carl Friedrich Gauss, Coprime integers, Euler's totient function, Fermat number, Fundamental theorem of arithmetic, Number theory, Prime number, Springer Science+Business Media.

Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.

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Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

Coprime integers and Cyclotomic field · Coprime integers and Euler's totient function · See more »

Euler's totient function

In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to.

Cyclotomic field and Euler's totient function · Euler's totient function and Euler's totient function · See more »

Fermat number

In mathematics a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the form where n is a nonnegative integer.

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Fundamental theorem of arithmetic

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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The list above answers the following questions

Cyclotomic field and Euler's totient function Comparison

Cyclotomic field has 50 relations, while Euler's totient function has 74. As they have in common 8, the Jaccard index is 6.45% = 8 / (50 + 74).

References

This article shows the relationship between Cyclotomic field and Euler's totient function. To access each article from which the information was extracted, please visit:

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