On Zeros of Some Combinations of Dirichlet L-Functions and Hurwitz Zeta-Functions

Abstract

In the paper, we obtain that certain linear and more general combinations of Dirichlet L-functions and Hurwitz zeta-functions have infinitely many zeros in the critical strip. For the proof, universality of those combinations is applied.

Keywords:

• Dirichlet L-function
• Hurwitz zeta-function
• Mergelyan theorem
• Rouché theorem
• universality

AMS Subject Classification:

• 11M06
• 11M85