Ramanujan-Petersson conjecture

introduction

• Two dominant themes in the theory of automorphic forms are the Ramanujan conjecture and the Langlands functoriality conjecture

expositions

• http://www.math.ucla.edu/~jonr/eprints/lub.pdf
• Blomer, Valentin, and Farrell Brumley. 2013. “The Role of the Ramanujan Conjecture in Analytic Number Theory.” Bulletin of the American Mathematical Society 50 (2): 267–320. doi:10.1090/S0273-0979-2013-01404-6.

articles

• Shahidi, Freydoon. 2004. “On the Ramanujan Conjecture for Quasisplit Groups.” The Asian Journal of Mathematics 8 (4): 813–835.
• Sarnak, Peter. 2005. “Notes on the Generalized Ramanujan Conjectures.” In Harmonic Analysis, the Trace Formula, and Shimura Varieties, 4:659–685. Clay Math. Proc. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=2192019. http://www.claymath.org/publications/Harmonic_Analysis/chapter9.pdf

questions

• http://mathoverflow.net/questions/19169/reference-request-for-a-proof-of-ramanujans-tau-conjecture
• http://mathoverflow.net/questions/24117/potential-modularity-and-the-ramanujan-conjecture?rq=1
• http://mathoverflow.net/questions/30527/delignes-proof-of-ramanujans-conjecture?rq=1