Automorphic L-functions lie at the confluence of number theory, harmonic analysis and representation theory. These functions generalise the classical Riemann zeta function and are constructed from ...

L-functions, also known as zeta functions, are continuous functions that can be attached to discrete problems, shedding considerable light on them, Sakellaridis says.

In particular, the three mathematicians prove the duality between periods and L -functions over number systems that arise in geometry called function fields, rather than over number fields — like the ...

Joseph Bernstein, Andre Reznikov, Subconvexity bounds for triple L-functions and representation theory, Annals of Mathematics, Second Series, Vol. 172, No. 3 (November, 2010), pp. 1679-1718 ...

We prove new explicit formulas for the p-adic L-functions of totally real number fields and show how these formulas can be used to compute values and representations of p-adic L-functions. Journal ...