ConceptGRH / Generalized Riemann Hypothesis
Generalized Riemann Hypothesis
One of the most important unsolved conjectures in number theory and a generalization of the original Riemann Hypothesis. It asserts that all non-trivial zeros of every Dirichlet L-function lie on the critical line Re(s) = 1/2 in the complex plane, with close connections to the distribution of primes in arithmetic progressions.
Timeline (last 90 days)
Sep 26
In 2024, mathematician Alexander proved that a weakened proposition based on the Liouville function holds, but only on the condition that it applies solely to sufficiently large even numbers and requires the assumption that the Generalized Riemann Hypothesis holds.
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