Dirichlet

Some articles on dirichlet:

Timeline Of Number Theory - 19th Century
1825 - Peter Gustav Lejeune Dirichlet and Adrien-Marie Legendre prove Fermat's Last Theorem for n = 5. 1832 - Lejeune Dirichlet proves Fermat's Last Theorem for n = 14. 1835 - Lejeune Dirichlet proves Dirichlet's theorem about prime numbers in arithmetical progressions ...
Dirichlet's Test
... In mathematics, Dirichlet's test is a method of testing for the convergence of a series ... It is named after mathematician Johann Dirichlet who published it in the Journal de Mathématiques Pures et Appliquées in 1862 ...
P-adic L-function - Dirichlet L-functions
... The Dirichlet L-function is given by the analytic continuation of The Dirichlet L-function at negative integers is given by where Bn,χ is a generalized Bernoulli number defined by for χ a ...
Categorical Distribution - With A Conjugate Prior - Posterior Conditional Distribution
... In networks that include categorical variables with Dirichlet priors (e.g ... mixture models and models including mixture components), the Dirichlet distributions are often "collapsed out" (marginalized out) of the network, which introduces ...
Dirichlet Density - Properties
... of A less than N)/(number of primes less than N) then it also has a Dirichlet density, and the two densities are the same ... For example, in proving Dirichlet's theorem on arithmetic progressions, it is easy to show that the Dirichlet density of primes in an arithmetic progression a + nb (for a, b ... Roughly speaking, proving that some set of primes has a non-zero Dirichlet density usually involves showing that certain L-functions do not vanish at the point s = 1, while ...