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Apr 26 at 23:20 comment added David Farmer Rubinstein gives a general smoothed approximate functional equation which only needs the data in the functional equation: arxiv.org/abs/math/0412181 If you want something in the style of Hardy-Littlewood, the error term will be large so you probably can't use it to prove anything.
Apr 26 at 5:11 comment added Misaka 16559 @DavidFarmer Thanks for comment! I found the definition of the gamma factor for the Lankin-Selberg L-function in [IK,p132], so perhaps I can obtain its functional equation. But how can I derive the approximate functional equation for it?
Apr 25 at 18:30 comment added David Farmer For any L-function, can't you deduce the Gamma-factors of the sym^2 from the Gamma factors of the original L-function?
Apr 22 at 7:14 history asked Misaka 16559 CC BY-SA 4.0