Speakur

Word Pronunciation & Dictionary

ramanujan conjecture

Word Rarity Very rare

Frequency: Zipf frequency 2.06 in modern English

Syllables
ra-manu-jan -con-jec-ture
IPA
39
Scrabble Score
19
Letters
6
Syllables
10
Unique Chars

Meaning

name

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.

Etymology

Named after Srinivasa Ramanujan.

Inflected Forms

the Ramanujan conjecture (canonical)

Phrases

Ramanujan-Petersson conjecture

Frequently Paired Words

Ramanujan-Petersson conjecture

Questions

What does ramanujan conjecture mean?
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.
Where does ramanujan conjecture come from?
Named after Srinivasa Ramanujan.

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