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math.NT2020
A unified scheme of approach to the Ramanujan conjecture
Andre Unterberger
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…
math.GR2020
The Ramanujan-Petersson and Selberg conjectures for Maass forms
Andr'e Unterberger
We prove the Ramanujan-Petersson conjecture for Maass forms of the group , with the help of automorphic distribution theory and pseudodifferential analysis. The first noti…