The Riemann hypothesis over finite fields: from Weil to the present day
The Riemann hypothesis over finite fields: from Weil to the present day
The statement of the Riemann hypothesis makes sense for all global fields, not just the rational numbers. For function fields, it has a natural restatement in terms of the associated curve. Weil’s work on the Riemann hypothesis for curves over finite fields led him to state his famous “Weil conjectures”, …