Toroidal families and averages of L-functions, I

Fouvry, EtienneKowalski, EmmanuelMichel, Philippe2024-07-032024-07-032024-07-032024-06-1710.4064/aa230323-24-5https://infoscience.epfl.ch/handle/20.500.14299/209092WOS:001248831000001We initiate the study of certain families of L-functions attached to characters of subgroups of higher-rank tori, and of their average at the central point. In particular, we evaluate the average of the values L( 2 1 , chi a )L( 21 , chi b ) for arbitrary integers a and b when chi varies over Dirichlet characters of a given prime modulus.Physical SciencesL-FunctionsToroidal FamilyDirichlet CharactersExponential Sums Over Finite FieldsToric CongruencesMoments Of L-FunctionsToroidal families and averages of L-functions, Itext::journal::journal article::research article