Department of Mathematics2024-11-0920130002-993910.1090/S0002-9939-2012-11506-02-s2.0-84872718940https://hdl.handle.net/20.500.14288/1411We obtain an exact formula for the average of values of L-series over two independent odd characters. The average of any positive moment of values at s = 1 is then expressed in terms of finite cotangent sums subject to congruence conditions. As consequences, bounds on such cotangent sums, limit points for the average of first moment of L-series at s = 1 and the average size of positive moments of character sums related to the class number are deduced.pdfMathematicsApplied mathematicsJournal Article1088-6826https://doi.org/10.1090/S0002-9939-2012-11506-0326517300007Q2NOIR00084