Explicit formulae for L-functions: Difference between revisions

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In [[mathematics]], the '''explicit formulae for [[L-function]]s''' are relations between sums over the complex number zeroes of an L-function and sums over prime powers, introduced by {{harvtxt|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]]. The explicit formula is a(n)=a1+d(n-1) which means n=the number of the term you are looking for so the number it is in the sequence. A1 is the first term in the sequence. D is the common difference.

==Riemann's explicit formula==