Explicit formulae for L-functions: Difference between revisions

Revision as of 11:55, 12 July 2024

Revision as of 07:57, 13 September 2024

Line 1:

{{Short description|Mathematical concept}}

In [[mathematics]], the '''[[Closed-form expression|explicit formulae]] for [[L-function]]s''' are relations between sums over the [[complex number]] zeroes of an [[L-function]] and sums over [[Prime number|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]].