Mixed moments of Hecke eigenforms and L-functions

Key Points

• The study establishes key estimates for the mixed $(2,2)$-moment of two hecke eigenforms.
• Results focus on the expectation and variance, supporting applications to triple product l-functions.
• Proofs utilize moments of l-functions to derive the necessary estimates.
• These findings may highlight connections between hecke eigenforms and the behavior of l-functions.