科研之友
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摘要
Let f be a fixed self-dual Hecke-Maass cusp form for SL3(Z) and let B-k be an orthogonal basis of holomorphic cusp forms of weight k 2(mod 4) for SL2(Z). We prove an asymptotic formula for the first moment of the first derivative of L (s, f x g) at the central point s = 1/2, where g runs over B-k, K <= k <= 2K, K large enough. This implies that for each K large enough there exists g is an element of B-k with K <= k <= 2K such that L'(1/2, f x g) not equal 0.
- 出版日期2012-2
- 单位山东大学
