Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Bernhard Riemann and Number theory

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

Difference between Bernhard Riemann and Number theory

Bernhard Riemann vs. Number theory

Georg Friedrich Bernhard Riemann (17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry. Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

Similarities between Bernhard Riemann and Number theory

Bernhard Riemann and Number theory have 11 things in common (in Unionpedia): Analytic number theory, Carl Friedrich Gauss, Complex analysis, Elliptic integral, Gotthold Eisenstein, Leonhard Euler, Peter Gustav Lejeune Dirichlet, Prime number, Prime number theorem, Riemann hypothesis, Riemann zeta function.

Analytic number theory

In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers.

Analytic number theory and Bernhard Riemann · Analytic number theory and Number theory · See more »

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.

Bernhard Riemann and Carl Friedrich Gauss · Carl Friedrich Gauss and Number theory · See more »

Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

Bernhard Riemann and Complex analysis · Complex analysis and Number theory · See more »

Elliptic integral

In integral calculus, elliptic integrals originally arose in connection with the problem of giving the arc length of an ellipse.

Bernhard Riemann and Elliptic integral · Elliptic integral and Number theory · See more »

Gotthold Eisenstein

Ferdinand Gotthold Max Eisenstein (16 April 1823 – 11 October 1852) was a German mathematician.

Bernhard Riemann and Gotthold Eisenstein · Gotthold Eisenstein 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.

Bernhard Riemann and Leonhard Euler · Leonhard Euler and Number theory · See more »

Peter Gustav Lejeune Dirichlet

Johann Peter Gustav Lejeune Dirichlet (13 February 1805 – 5 May 1859) was a German mathematician who made deep contributions to number theory (including creating the field of analytic number theory), and to the theory of Fourier series and other topics in mathematical analysis; he is credited with being one of the first mathematicians to give the modern formal definition of a function.

Bernhard Riemann and Peter Gustav Lejeune Dirichlet · Number theory and Peter Gustav Lejeune Dirichlet · See more »

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.

Bernhard Riemann 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.

Bernhard Riemann and Prime number theorem · Number theory and Prime number theorem · See more »

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.

Bernhard Riemann and Riemann hypothesis · Number theory and Riemann hypothesis · See more »

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.

Bernhard Riemann and Riemann zeta function · Number theory and Riemann zeta function · See more »

The list above answers the following questions

Bernhard Riemann and Number theory Comparison

Bernhard Riemann has 105 relations, while Number theory has 216. As they have in common 11, the Jaccard index is 3.43% = 11 / (105 + 216).

References

This article shows the relationship between Bernhard Riemann and Number theory. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »