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number > number theory > analytic number theory > L-function > Ramanujan-Petersson conjecture
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Ramanujan-Petersson conjecture  

Definición

  • In mathematics, the Ramanujan conjecture, due to Srinivasa Ramanujan (1916, p. 176), states that Ramanujan's tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12
    where , satisfies
    when p 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.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Ramanujan%E2%80%93Petersson_conjecture)

Concepto genérico

Etiquetas alternativas

  • generalized Ramanujan conjecture

En otras lenguas

URI

http://data.loterre.fr/ark:/67375/PSR-Z00WNCP8-4

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