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Explicit formulae for L-functions

In mathematics, the explicit formulae 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…

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Riemann's explicit formula

Weil's explicit formula

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Hilbert–Pólya conjecture

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Explicit formulae for L-functions

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function formula explicit zeros prime zeta sum riemann number transform primes given terms zbl also fourier formulae mathematics term displaystyle

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