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The Dirichlet series L(s, χ) attached to a Dirichlet character χ, including their Euler products, functional equation, non-vanishing results, zero locations, and special values. Claims whose object is a Dirichlet L-function itself belong here; general prime-distribution claims that merely use them do not.

All non-trivial zeros of every Dirichlet L-function have real part equal to 1/2.

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →mathematicalA proposition of mathematics: true or false by proof rather than by observation. Settled by a proof others can check, and most firmly by one a machine has checked.constitution →Number theory Generalized Riemann hypothesisimportance · notableImportance 0.60, from 0 to 1 · notable: a contested point in a live debate (also the default before judging). Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

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