Medjedovic, Andean2021-09-292021-09-292021-09-292021-08-16http://hdl.handle.net/10012/17591We study averages of secular coefficients that frequently appear in random matrix theory. We obtain exact formulas, identities and new asymptotics for these integrals as well as a technique to deal with singularities that classically occur in the study of these problems.enNumber TheoryRandom Matrix TheoryMaster Thesis