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The integral moments and ratios of quadratic Dirichlet L-functions over monic irreducible polynomials in $$\mathbb {F}_{q}[T]$$
Abstract In this paper, we extend to the function field setting the heuristics formerly developed by Conrey, Farmer, Keating, Rubinstein and Snaith, for the integral moments of L -functions. We also adapt to the function field setting the heuristics first developed by Conrey, Farmer and Zirnbauer to the study of …