Second Moment of Degree Three L-Functions

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An upper bound of the second moment of |L(F,1/2+it)|^2 improves existing results on subconvexity for self-dual l-functions.
The derived bound is T^{3/2-3/32+ε}, establishing a non-trivial error term related to self-dual gl(3) l-functions.
Approach involves evaluation of the integral of |L(F,1/2+it)|^2 across the t-aspect domain.
The findings highlight potential advancements in error estimates for the rankin-selberg problem and zero density for gl(3) l-functions.

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Analysis reveals upper bound improvement for L-functions in t-aspect, suggesting advancements in subconvexity results.

Sampurna Pal (2025) studied this question.

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