Faster access than browser!Similarities between Birch and Swinnerton-Dyer conjecture and Hasse–Weil zeta function
Birch and Swinnerton-Dyer conjecture and Hasse–Weil zeta function have 10 things in common (in Unionpedia): Algebraic number field, Analytic continuation, Euler product, Helmut Hasse, Mathematics, Modularity theorem, Number theory, Prime number, Riemann zeta function, Springer Science+Business Media.
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 Hasse–Weil zeta function ·
Analytic continuation
In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function.
Analytic continuation and Birch and Swinnerton-Dyer conjecture · Analytic continuation and Hasse–Weil zeta function ·
Euler product
In number theory, an Euler product is an expansion of a Dirichlet series into an infinite product indexed by prime numbers.
Birch and Swinnerton-Dyer conjecture and Euler product · Euler product and Hasse–Weil zeta function ·
Helmut Hasse
Helmut Hasse (25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory, the application of p-adic numbers to local class field theory and diophantine geometry (Hasse principle), and to local zeta functions.
Birch and Swinnerton-Dyer conjecture and Helmut Hasse · Hasse–Weil zeta function and Helmut Hasse ·
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 · Hasse–Weil zeta function and Mathematics ·
Modularity theorem
In mathematics, the modularity theorem (formerly called the Taniyama–Shimura conjecture or related names like Taniyama–Shimura–Weil conjecture due to rediscovery) states that elliptic curves over the field of rational numbers are related to modular forms.
Birch and Swinnerton-Dyer conjecture and Modularity theorem · Hasse–Weil zeta function and Modularity theorem ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Birch and Swinnerton-Dyer conjecture and Number theory · Hasse–Weil zeta function and Number theory ·
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.
Birch and Swinnerton-Dyer conjecture and Prime number · Hasse–Weil zeta function and Prime number ·
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 · Hasse–Weil zeta function and Riemann zeta function ·
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.
Birch and Swinnerton-Dyer conjecture and Springer Science+Business Media · Hasse–Weil zeta function and Springer Science+Business Media ·
The list above answers the following questions
- What Birch and Swinnerton-Dyer conjecture and Hasse–Weil zeta function have in common
- What are the similarities between Birch and Swinnerton-Dyer conjecture and Hasse–Weil zeta function
Birch and Swinnerton-Dyer conjecture and Hasse–Weil zeta function Comparison
Birch and Swinnerton-Dyer conjecture has 55 relations, while Hasse–Weil zeta function has 40. As they have in common 10, the Jaccard index is 10.53% = 10 / (55 + 40).
References
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