Regularized Product for The Zeros of L-Functions in the Selberg Class

In this paper, we use the Weil explicit formulas written in the context of the Selberg class to prove some results about the regularized product of the non-trivial zeros of L-functions from the Selberg class with polynomial Euler product. These results continue the investigations of Deninger [2], Illies [4], Schr¨oter & Soul´e [12] and Voros [13–17]. Furthermore, we give a new reformulation of the Riemann hypothesis.