The ratios conjecture for real Dirichlet characters and multiple Dirichlet series
The ratios conjecture for real Dirichlet characters and multiple Dirichlet series
Conrey, Farmer and Zirnbauer introduced a recipe to find asymptotic formulas for the sum of ratios of products of shifted L-functions. These ratios conjectures are very powerful and can be used to determine many statistics of L-functions, including moments or statistics about the distribution of zeros. We consider the family …