September 1999

URSUS smooth

Congettura of Riemann.

Commisioned to my friend Prof. Giogio Tomaso Bagni from Treviso Italy.

Some questions about the Riemann zeta function are very important in the History of Mathematics, particularly as regards the link between zeta function and prime numbers, based on a famous product (1737) by Leonhard Euler (1707-1783). In 1859, Bernhard Riemann (1826-1866)defined the zeta function for complex numbers; he conjectured that all nontrivial zeroes of zeta(x) are on the line Re(x) = ½; this fundamental conjecture (the famous "Riemann Conjecture") has never been proved (1999); a lot of computations of the zeroes of have been made, and the first 1,500,000,001 nontrivial zeroes of are on the line Re(x) = ½ (1986).

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