Holmstrom N30 L-functions

Explain what L-functions and zeta functions are, and the main types of problems concerning them.

Look at all the articles in the Motives vol 1, from page 517 and onwards.

Deninger cohomology, Dynamical cohomology, Archimedean cohomology

Special values of L-functions

Arakelov motivic cohomology

Elliptic Bloch groups

Weil-etale cohomology and Frobenius cohomology

nLab page on N30 L-functions