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Abstract Average values over integral points on a three-dimensional sphere with an arbitrary smooth weight function are studied. For them, an expansion of the mean product of two L-series associated… Click to show full abstract
Abstract Average values over integral points on a three-dimensional sphere with an arbitrary smooth weight function are studied. For them, an expansion of the mean product of two L-series associated with the Hecke basis in spaces of holomorphic parabolic forms of integer even weight with respect to the congruence subgroup Γ 0 (4) is obtained.
Keywords:
three dimensional;
dimensional sphere;
points three;
formula integral;
trace formula;
integral points
Journal Title: Doklady Mathematics
Year Published: 2020
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Journal Title: Doklady Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!