ON MOMENTS OF TWISTED L-FUNCTIONS

We study the average of the product of the central values of two L-functions of modular forms f and g twisted by Dirichlet characters to a large prime modulus q. As our principal tools, we use spectral theory to develop bounds on averages of shifted convolution sums with differences ranging over mul...

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Veröffentlicht in:	American journal of mathematics 2017-06, Vol.139 (3), p.707-768
Hauptverfasser:	Blomer, Valentin, Fouvry, Étienne, Kowalski, Emmanuel, Michel, Philippe, Milićević, Djordje
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Asymptotic properties Convolution Dirichlet problem Energy conservation Number theory Spectral theory Sums
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