: Matemáticas: Hasse-Weil zeta function

geometry > algebraic geometry > algebraic variety > Hasse-Weil zeta function

number > number theory > analytic number theory > L-function > Hasse-Weil zeta function

mathematical analysis > complex analysis > meromorphic function > L-function > Hasse-Weil zeta function

mathematical analysis > functional analysis > geometry of numbers > arithmetic geometry > Hasse-Weil zeta function

number > number theory > geometry of numbers > arithmetic geometry > Hasse-Weil zeta function

geometry > discrete geometry > geometry of numbers > arithmetic geometry > Hasse-Weil zeta function

... > real number > Diophantine approximation > geometry of numbers > arithmetic geometry > Hasse-Weil zeta function

Hasse-Weil zeta function

In mathematics, the Hasse–Weil zeta function attached to an algebraic variety V defined over an algebraic number field K is a meromorphic function on the complex plane defined in terms of the number of points on the variety after reducing modulo each prime number p. It is a global L-function defined as an Euler product of local zeta functions.
Hasse–Weil L-functions form one of the two major classes of global L-functions, alongside the L-functions associated to automorphic representations. Conjecturally, these two types of global L-functions are actually two descriptions of the same type of global L-function; this would be a vast generalisation of the Taniyama-Weil conjecture, itself an important result in number theory.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hasse%E2%80%93Weil_zeta_function)

http://data.loterre.fr/ark:/67375/PSR-RQFB184X-1

RDF/XML TURTLE JSON-LD Creado 4/8/23, última modificación 18/10/24

Loterre