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Ramanujan conjecture

Ramanujan conjecture proper noun: a conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2), when p is a prime number.

Proper noun

the Ramanujan conjecture

  1. A conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2), when p is a prime number.

Origin of Ramanujan conjecture

Named after Srinivasa Ramanujan.

Questions about Ramanujan conjecture

What does Ramanujan conjecture mean?
Ramanujan conjecture means a conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2), when p is a prime number.
What part of speech is Ramanujan conjecture?
Ramanujan conjecture is a proper noun.

Words near Ramanujan conjecture in the dictionary

  1. Ramani
  2. Ramanis
  3. Ramans
  4. Ramanuja
  5. Ramanujan
  6. Ramanujan conjecture
  7. Ramanujan graph
  8. Ramanujan graphs
  9. Ramanujan prime
  10. Ramanujan primes
  11. Ramanujan summation

Source and license

Adapted from Wiktionary: Ramanujan conjecture (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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