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ShowingImportancePrizesTopicGeneralized Riemann hypothesis1 claim

The conjecture (GRH, or Extended Riemann Hypothesis) that all non-trivial zeros of Dirichlet L-functions, and more generally of L-functions attached to characters and algebraic number fields, have real part equal to 1/2 (the critical line). Claims about its statement, truth, partial results, and consequences of it belong here; claims about the zeta function itself belong to the Riemann hypothesis

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 →Dirichlet L-functionsNumber theoryimportance · 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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