# Spectral theory of the riemann zeta-function pdf

30.01.2021 | By Goltikora | Filed in: Adventure.

Eisenstein series are functions which appear already in classical number theory as well as in the spectral theory of surfaces with cusps. Our function Z(s) can be seen to be an importantfudgefactor(alsocalledscatteringdeterminant)fortheEisensteinseries,thiscomes fromSelbergbut hedoesnot realize thatit isitselfa spectral zetafunctionand writes just 6. The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function webarchive.icu by: On he other hand, it is proved that on the real axis of complex plane, the algebraic equation of Riemannian Zeta function holds only at the point Re(s)=1/2 (s=a+ib). However, at this point, the Author: Jorma Jormakka.