KnowraDirichlet L-functionLinked fromLinked fromThe 14 pages that link to Dirichlet L-function, each with the reason it gives.All 14Broader topic 5Related 7Compared with 2Riemann hypothesisRelated: The generalized Riemann hypothesis extends the same zero-location claim to these functions.Multiplicative functionRelated: Complete multiplicativity of χ gives this series an Euler product.Dirichlet characterRelated: A Dirichlet character supplies the coefficients that encode arithmetic in an L-function.Prime number theorem for arithmetic progressionsRelated: The theorem’s error term and proof depend on zeros of these functions.Bombieri–Vinogradov theoremRelated: Its zeros encode cancellation in character sums governing primes in progressions.Linnik's theoremRelated: Its zeros and values control the prime-counting estimates behind the bound.Siegel–Walfisz theoremRelated: The theorem’s proof relies on zero-free regions for these functions.