In mathematics, the Ramanujan conjecture, due to Srinivasa Ramanujan (1916, p.176), states that Ramanujan's tau function given by the Fourier coefficients of the cusp form of weight 12
(where q=e2πiz) satisfies
when is a prime number. The generalized Ramanujan conjecture or Ramanujan–Petersson conjecture, introduced by Petersson (1930), is a generalization to other modular forms or automorphic forms.
Read more about Ramanujan–Petersson Conjecture: Ramanujan Conjecture, Ramanujan–Petersson Conjecture For Modular Forms, Ramanujan–Petersson Conjecture For Automorphic Forms, Applications
Other articles related to "conjecture":
... The most celebrated application of the Ramanujan conjecture is the explicit construction of Ramanujan graphs by Lubotzky, Phillips and Sarnak ...
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