---
date: 2022-02-10 18:25
modification date: Tuesday 15th February 2022 12:55:49
title: Ramanujan-Petersson conjecture
aliases: [Ramanujan-Petersson conjecture, generalized Ramanujan conjecture, GRC, Ramanujan conjecture]

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Last modified date: <%+ tp.file.last_modified_date() %>

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- Tags: 
	- #open/conjectures 
- Refs:
	- #todo/add-references
- Links:
	- #todo/create-links 

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# Ramanujan-Petersson conjecture

![](attachments/Pasted%20image%2020220423000548.png)
![](attachments/Pasted%20image%2020220423000628.png)
![](attachments/Pasted%20image%2020220423000730.png)

Reduction to [Weil Conjectures](Unsorted/Weil%20Conjectures.md):
![](attachments/Pasted%20image%2020220423000757.png)



![](attachments/Pasted%20image%2020220210182546.png)
![](attachments/Pasted%20image%2020220210183759.png)
![](attachments/Pasted%20image%2020220210183813.png)

![](attachments/Pasted%20image%2020220215125326.png)
![](attachments/Pasted%20image%2020220215125355.png)

![](attachments/2023-03-06rama.png)
![](attachments/2023-03-06rama2.png)