Variants of the Li-Type Criteria for the Generalized Riemann Hypothesis
摘要
In the past 25 years, the Li coefficients attached to a broad class of zeta and L-functions and their generalizations have been studied by many mathematicians, due to their close connection to the distribution of zeros of those functions. The connection is described through the Li-type criteria for the generalized Riemann hypothesis and for zero-free regions of zeta and L-functions. In this chapter, we give a survey of theoretical and numerical results on variants of the Li coefficients and the Li-type criteria for broad classes of L-functions.