1549380232-Automorphic_Forms_and_Applications__Sarnak_

LECTURE 4. GLOBAL £-FUNCTIONS 145

Even in the simplest case of n = 1 and 7r = 1 the trivial representation this
reduces to the Riemann hypothesis for the Riemann zeta function!
For an interesting survey on these and other conjectures on L-functions and
their relation to number theoretic problems, we refer the reader to the survey of
Iwaniec and Sarnak [36].