论文标题
统一的Ramanujan猜想的方法
A unified scheme of approach to the Ramanujan conjecture
论文作者
论文摘要
大约半个世纪前，Deligne证明了Ramanujan对模块化形式的模块化形式的猜想：基于他较早的Weil猜想的证明，证明是代数几何的成就。我们在这里给Ramanujan-Deligne定理提供了简短的分析证明，最后我们将指出证明与Ramanujan-Petersson对Maass形式的猜想[8]的密切类比。
The Ramanujan conjecture for modular forms of holomorphic type was proved by Deligne almost half a century ago: the proof, based on his earlier proof of Weil's conjectures, was an achievement of algebraic geometry. We give here a short analytic proof of the Ramanujan-Deligne theorem, and we shall indicate at the end the close analogy of the proof with that of the Ramanujan-Petersson conjecture for Maass forms [8].
