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Euler's totient function and Number theory

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

Difference between Euler's totient function and Number theory

Euler's totient function vs. Number theory

In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to. Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

Similarities between Euler's totient function and Number theory

Euler's totient function and Number theory have 18 things in common (in Unionpedia): An Introduction to the Theory of Numbers, Carl Friedrich Gauss, Chinese remainder theorem, D. C. Heath and Company, Disquisitiones Arithmeticae, E (mathematical constant), Fermat's little theorem, Greatest common divisor, Lagrange's theorem (group theory), Leonhard Euler, Order (group theory), Oxford University Press, Prime number, Prime number theorem, Riemann hypothesis, Riemann zeta function, Ring (mathematics), RSA (cryptosystem).

An Introduction to the Theory of Numbers

An Introduction to the Theory of Numbers is a classic book in the field of number theory, by G. H. Hardy and E. M. Wright.

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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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Chinese remainder theorem

The Chinese remainder theorem is a theorem of number theory, which states that if one knows the remainders of the Euclidean division of an integer by several integers, then one can determine uniquely the remainder of the division of by the product of these integers, under the condition that the divisors are pairwise coprime.

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D. C. Heath and Company

D.C. Heath and Company was an American publishing company located at 125 Spring Street in Lexington, Massachusetts, specializing in textbooks.

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Disquisitiones Arithmeticae

The Disquisitiones Arithmeticae (Latin for "Arithmetical Investigations") is a textbook of number theory written in Latin by Carl Friedrich Gauss in 1798 when Gauss was 21 and first published in 1801 when he was 24.

Disquisitiones Arithmeticae and Euler's totient function · Disquisitiones Arithmeticae and Number theory · See more »

E (mathematical constant)

The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.

E (mathematical constant) and Euler's totient function · E (mathematical constant) and Number theory · See more »

Fermat's little theorem

Fermat's little theorem states that if is a prime number, then for any integer, the number is an integer multiple of.

Euler's totient function and Fermat's little theorem · Fermat's little theorem and Number theory · See more »

Greatest common divisor

In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

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Lagrange's theorem (group theory)

Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order (number of elements) of every subgroup H of G divides the order of G. The theorem is named after Joseph-Louis Lagrange.

Euler's totient function and Lagrange's theorem (group theory) · Lagrange's theorem (group theory) and Number theory · See more »

Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Order (group theory)

In group theory, a branch of mathematics, the term order is used in two unrelated senses.

Euler's totient function and Order (group theory) · Number theory and Order (group theory) · See more »

Oxford University Press

Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.

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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.

Euler's totient function and Prime number · Number theory and Prime number · See more »

Prime number theorem

In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers.

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Riemann hypothesis

In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part.

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Riemann zeta function

The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.

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Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

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RSA (cryptosystem)

RSA (Rivest–Shamir–Adleman) is one of the first public-key cryptosystems and is widely used for secure data transmission.

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The list above answers the following questions

Euler's totient function and Number theory Comparison

Euler's totient function has 74 relations, while Number theory has 216. As they have in common 18, the Jaccard index is 6.21% = 18 / (74 + 216).

References

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

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