Linked from

The 14 pages that link to Dirichlet L-function, each with the reason it gives.

• Riemann zeta functionCompared with: These functions generalize ζ(s) and analyze primes in arithmetic progressions.

• Riemann hypothesisRelated: The generalized Riemann hypothesis extends the same zero-location claim to these functions.

• Dirichlet's theorem on arithmetic progressionsBroader topic: Nonvanishing of these functions at 1 underpins the theorem’s infinitude claim.

• Dirichlet seriesBroader topic: Character-valued coefficients create series that distinguish residue classes of primes.

• Euler productBroader topic: Its Euler product incorporates the character values at each prime.

• Multiplicative functionRelated: Complete multiplicativity of χ gives this series an Euler product.

• Dedekind zeta functionCompared with: Its character weights distinguish residue classes, unlike the unweighted ideal count.

• 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.

• Generalized Riemann hypothesisBroader topic: These functions supply the standard number-theoretic cases of the generalized conjecture.

• 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.

• Peter Gustav Lejeune DirichletBroader topic: Its nonzero values at one are central to the proof of the prime progression theorem.

• Siegel–Walfisz theoremRelated: The theorem’s proof relies on zero-free regions for these functions.