- ID: gauss

## Knowls

Alina Bucur has contributed to these Knowls:
A history of L-functions,
Abelian number field,
Algebraic closure of a field,
Algebraic curve,
Algebraic variety ,
Analytic order of Ш,
Basic properties of Dirichlet characters,
Birch and Swinnerton-Dyer conjecture,
Birch and Swinnerton-Dyer invariants of an elliptic curve/$\mathbb{Q}$,
Canonical defining polynomial for number fields,
Central value of an L-function,
Character of a modular form,
Conductor of a Dirichlet character,
Conductor of a Dirichlet character from its Conrey label,
Conductor of an abelian number field,
Conrey index of a Dirichlet character,
Conrey label of Dirichlet characters,
Conrey primitive generator modulo $p$,
Cremona label,
Critical line of an L-function,
Critical strip,
Defining Polynomial of a Number Field,
Degree of a number field,
Degree of an L-function,
Dirichlet character,
Dirichlet character group,
Dirichlet group of an Abelian number field,
Dirichlet series,
Discriminant exponent of a local field,
Discriminant of a number field,
Discriminant of an elliptic curve over $\Q$,
Elliptic curve invariants,
Elliptic curve over $\mathbb Q$ ,
Elliptic curve over a field,
Euler product for the Riemann zeta function,
Field of values of a Dirichlet character,
Fixed field of a Dirichlet character,
Frobenius-Schur indicator of a representation,
Functional equation of an L-function,
Galois closure of an extension,
Galois group,
Galois orbit of a Dirichlet character,
Gauss sum,
Generalized Riemann hypothesis,
Generator of a number field,
Generators of a Dirichlet character group,
Genus of a smooth curve ,
How to cite the LMFDB,
Ideal class group of a number field,
Image of the representation,
Induced Dirichlet character,
Integral basis of a number field,
Integral points,
Intermediate fields,
Introduction,
Isogeny between elliptic curves ,
Isogeny class of an elliptic curve,
Jacobi sum,
Jacobi symbol,
Kloosterman sum,
Kodaira symbol,
Kronecker symbol,
Label for an elliptic curve over $\mathbb Q$,
Langlands program,
Laplace-Beltrami operator (hyperbolic),
Legendre symbol,
Level of a modular form,
Local algebra,
Local field invariants,
Maass form on GL2(R) with trivial character,
Maass forms on PSL(2,Z[i]),
Management board,
Minimal Weierstrass equation over $\mathbb Q$,
Minimal polynomial,
Modular degree of an elliptic curve over $\mathbb Q$,
Modular form associated to an elliptic curve/$\mathbb Q$,
Modular parametrization of an elliptic curve over $\mathbb Q$,
Modulus of a Dirichlet character,
Monomial order,
Mordell-Weil group,
Narrow class group,
Narrow class number,
Non-singular point (definition),
Normalization of defining polynomials for number fields,
Number field,
Number field invariants,
Number field label,
Number field nicknames,
Number field not in the database,
Optimal elliptic curve over $\mathbb Q$,
Order of a Dirichlet character,
Order of a Dirichlet character from its label,
Order of a Dirichlet character group,
Parity of a Dirichlet character,
Parity of a Dirichlet character from its Conrey label,
Primitive Dirichlet character,
Primitive element,
Ramified (rational) prime of a number field,
Rank of a number field,
Rank of an elliptic curve over a number field,
Real Dirichlet character,
Reduction type of an elliptic curve over $\mathbb Q$,
Regulator of a number field,
Regulator of elliptic curve,
Riemann zeta-function,
Ring of integers of a number field,
Root discriminant of a number field,
Saito-Kurokawa lift,
Selberg class of L-functions,
Selberg data for the functional equation of an L-function,
Sibling fields and algebras,
Sign of an L-function,
Signature of a number field,
Signature of an L-function,
Smoothness of an algebraic curve,
Special value of an elliptic curve L-function,
Structure of a Dirichlet group,
Symmetric power of an L-function,
Tamagawa numbers for an elliptic curve ,
Torsion order of an elliptic curve,
Torsion subgroup of an elliptic curve,
Torsion subgroup of an elliptic curve over $\mathbb Q$,
Totally imaginary,
Totally positive,
Totally real,
Underlying object of an L-function,
Underlying unit group for a Dirichlet character,
Unit group of a number field,
Unramified (rational) prime of a number field,
Values of a Dirichlet character,
Values of a Dirichlet character on generators,
Weil height,
Z-function of an L-function,
Zeros of an L-function,
j-invariant of a rational elliptic curve