An L-function is a complex function given by an Euler product (generally, an infinite product of reciprocals of polynomials in an exponential) continued to an entire function, except for finitely many poles on the vertical line through 1, which in addition satisfies a functional equation. The Riemann zeta function is the prototype. Here, the author surveys the notion of L-function and presents some computations regarding a recent discovery.
|Translated title of the contribution||Uncovering a new L-function|
|Pages (from-to)||1088 - 1094|
|Number of pages||7|
|Journal||Notices of the American Mathematical Society|
|Volume||55, issue 9|
|Publication status||Published - 2008|