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Abstract

Since the function G(s)L(s) is real-valued for s real, its zeros lie symmetrically about both the line Re(s) = 1/2 and the real axis.In line with the general conjectures of A. Selberg [S, p. 50], one expects that all zeros of G(s)L(s) satisfy Re(s) = 1/2. The coefficients a n are difficult to get hold of, and, to the best of our knowledge, no one has yet checked any zeros even for very modest s.