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

Birch and Swinnerton-Dyer conjecture and Hilbert's problems

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

Difference between Birch and Swinnerton-Dyer conjecture and Hilbert's problems

Birch and Swinnerton-Dyer conjecture vs. Hilbert's problems

In mathematics, the Birch and Swinnerton-Dyer conjecture describes the set of rational solutions to equations defining an elliptic curve. Hilbert's problems are twenty-three problems in mathematics published by German mathematician David Hilbert in 1900.

Similarities between Birch and Swinnerton-Dyer conjecture and Hilbert's problems

Birch and Swinnerton-Dyer conjecture and Hilbert's problems have 8 things in common (in Unionpedia): Abelian extension, Algebraic number field, Clay Mathematics Institute, Mathematics, Millennium Prize Problems, Quadratic form, Riemann hypothesis, Riemann zeta function.

Abelian extension

In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian.

Abelian extension and Birch and Swinnerton-Dyer conjecture · Abelian extension and Hilbert's problems · See more »

Algebraic number field

In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.

Algebraic number field and Birch and Swinnerton-Dyer conjecture · Algebraic number field and Hilbert's problems · See more »

Clay Mathematics Institute

The Clay Mathematics Institute (CMI) is a private, non-profit foundation, based in Peterborough, New Hampshire, United States.

Birch and Swinnerton-Dyer conjecture and Clay Mathematics Institute · Clay Mathematics Institute and Hilbert's problems · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Birch and Swinnerton-Dyer conjecture and Mathematics · Hilbert's problems and Mathematics · See more »

Millennium Prize Problems

The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000.

Birch and Swinnerton-Dyer conjecture and Millennium Prize Problems · Hilbert's problems and Millennium Prize Problems · See more »

Quadratic form

In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables.

Birch and Swinnerton-Dyer conjecture and Quadratic form · Hilbert's problems and Quadratic form · 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.

Birch and Swinnerton-Dyer conjecture and Riemann hypothesis · Hilbert's problems 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.

Birch and Swinnerton-Dyer conjecture and Riemann zeta function · Hilbert's problems and Riemann zeta function · See more »

The list above answers the following questions

Birch and Swinnerton-Dyer conjecture and Hilbert's problems Comparison

Birch and Swinnerton-Dyer conjecture has 55 relations, while Hilbert's problems has 149. As they have in common 8, the Jaccard index is 3.92% = 8 / (55 + 149).

References

This article shows the relationship between Birch and Swinnerton-Dyer conjecture and Hilbert's problems. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »