Explicit Formula
In mathematics, the explicit formula for L-functions are relations between sums over the complex number zeroes of an L-function and sums over prime powers, introduced by Riemann (1859) for the Riemann zeta function. Such explicit formulae have been applied also to questions on bounding the discriminant of an algebraic number field, and the conductor of a number field.
Read more about Explicit Formula: Riemann's Explicit Formula, Weil's Explicit Formula, Generalizations, Applications, Hilbert–Pólya Conjecture
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