Á. Tóth

Fractal zeta functions for $$p$$-adic affine variaties

Abstract We investigate the fractal zeta function of a $$p$$ p -adic affine variety. We identify it with the distance zeta function. We also prove that for smooth varieties with good reduction it is a rational function of $t=p^{-s}$ t = p - s and that the abscissa of convergence...