Masatoshi Suzuki
Published 2004-12-11Version 1
As automorphic $L$-functions or Artin $L$-functions, several classes of $L$-functions have Euler products and functional equations. In this paper we study the zeros of $L$-functions which have the Euler products and functional equations. We show that there exists some relation between the zeros of the Riemann zeta-function and the zeros of such $L$-functions. As a special case of our results, we find the relations between the zeros of the Riemann zeta-function and the zeros of automorphic $L$-functions attached to elliptic modular forms or the zeros of Rankin-Selberg $L$-functions attached to two elliptic modular forms.
Zeros of $L(s)+L(2s)+\cdots+L(Ns)$ in the region of absolute convergence
Lifting from pairs of two elliptic modular forms to Siegel modular forms of half-integral weight of even degree
A note on the number of coefficients of automorphic $L-$functions for $GL_m$ with same signs
![QR code for arXiv:math/0412224 [math.NT]](http://oss.arxitics.com/images/favicon.svg)