Heegner points and derivatives ofL-series
Heegner points and derivatives ofL-series
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DOI：
10.1007/bf01388809
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发表时间：
1986-06
影响因子：
3.1
通讯作者：
B. Gross;D. Zagier
中科院分区：
文献类型：
--
作者：
B. Gross;D. Zagier
2. 轨迹的计算傅里叶展开式；泛函方程；LA （f, k）的初步公式LA （f, r）和LA （f, k）和LA (f, k)， k的全纯投影及最终公式：> 1。k= 1的情况：LA （f, 1）的最终公式V.主要同一性、结果和推广Heegner点的高度和l级数的导数2。与Birch和Swinnerton-Dyer猜想的比较广义Heegner点及其与l级数4的关系。情形1：高权环和一个代数猜想
2. Computation of the trace 3. Fourier expansions 4, Functional equation; preliminary formulae for LA (f, k) 5. Holomorphic projection and final formulae for LA (f, r) and LA (f, k) and LA (f, k), k:> 1 6. The case k= 1: final formula for LA (f, 1) V. Main identity, consequences and generalizations 1. Heights of Heegner points and derivatives of L-series 2. Comparison with the conjecture of Birch and Swinnerton-Dyer 3. Generalized Heegner points and their relation to L-series 4. The case k> 1: higher weight cycles and an algebraicity conjecture