Dirichlet
Phrases with the word
Examples
Class number related Peter Gustav Lejeune Dirichlet discovered formulas that relate the class number h of quadratic number fields to the Jacobi symbol.
Fourier did not, however, settle the question of convergence of his series, a matter left for Cauchy (1826) to attempt and for Dirichlet (1829) to handle in a thoroughly scientific manner (see convergence of Fourier series ).
Dirichlet has shown this for continuous, piecewise-differentiable functions (thus with countably many non-differentiable points).
Generalizations of the symbol include the Jacobi symbol and Dirichlet characters of higher order.
Another "Poisson's integral" is the solution for the Green function for Laplace's equation with Dirichlet condition over a circular disk: : where : : :φ is a boundary condition holding on the disk's boundary.
He had visited Dirichlet in 1852.