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1 claim

The Weil conjectures (1949) on zeta functions of varieties over finite fields: rationality, functional equation, and the analogue of the Riemann hypothesis (Frobenius eigenvalues of absolute value q^(n/2)), proven in full by Deligne (1974). Claims about the conjectures, their proofs, analogues for other function-field zeta/L-functions, and their applications belong here; the classical Riemann hypo

The analogue of the Riemann hypothesis for zeta functions of varieties over finite fields is a proven theorem.

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 theoryimportance · settledImportance 0.15, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

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