Joint value distribution of $L$-functions on the critical line

Abstract

In this paper, we discuss the joint value distribution of $L$-functions in a suitable class. We obtain joint large deviations results in the central limit theorem for these $L$-functions and some mean value theorems, which give evidence that different $L$-functions are "statistically independent".

65 pages

References in corpus (1)

• Lower bounds for moments of zeta and $L$-functions revisited

Cited by in corpus (1)

• On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects