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 ...

Mladen Dimitrov, AUTOMORPHIC SYMBOLS, p-ADIC L-FUNCTIONS AND ORDINARY COHOMOLOGY OF HILBERT MODULAR VARIETIES, American Journal of Mathematics, Vol. 135, No. 4 (August 2013), pp. 1117-1155 ...

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

Scott Ahlgren, Matthew Boylan, Central Critical Values of Modular L-Functions and Coefficients of Half-Integral Weight Modular Forms Modulo l, American Journal of Mathematics, Vol. 129, No. 2 (Apr., ...

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 ...