Ratios conjecture of quartic L-functions of prime moduli

We apply the method of multiple Dirichlet series to develop L-functions ratios conjecture with one shift in both the numerator and denominator in certain ranges for the family of quartic Hecke L-functions of prime moduli over the Gaussian field under the generalized Riemann hypothesis. As consequences, we evaluate asymptotically the first moment of central values as well as the one-level density of the same family of L-functions.