Autocorrelation of ratios of L-functions
classification
🧮 math.NT
math-phmath.MP
keywords
l-functionsaveragedconjecturesanalogousautocorrelationcharacteristicclassicalcompact
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We give a new heuristic for all of the main terms in the quotient of products of L-functions averaged over a family. These conjectures generalize the recent conjectures for mean values of L-functions. Comparison is made to the analogous quantities for the characteristic polynomials of matrices averaged over a classical compact group.
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