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Ramanujan's sums

Ramanujan's sums is the plural of Ramanujan's sum.

Meaning of Ramanujan's sum

Noun

Ramanujan's sum (plural Ramanujan's sums)

  1. A function, usually denoted c_q(n), of two positive integer variables q and n, defined by the formula c_q(n)=∑_(1<a≤q atop (a,q)=1)e^(2πi tfrac aqn),, where (a, q) = 1 means that a only takes on values coprime to q. It is used in the proof of Vinogradov's theorem.

Questions about Ramanujan's sums

What is Ramanujan's sums the plural of?
Ramanujan's sums is the plural of Ramanujan's sum.

Words near Ramanujan's sums in the dictionary

  1. Ramanujan primes
  2. Ramanujan summation
  3. Ramanujan theta function
  4. Ramanujan's constant
  5. Ramanujan's sum
  6. Ramanujan's sums
  7. Ramanujan-Hardy number
  8. Ramanujan-Hardy numbers
  9. Ramanujan-Petersson conjecture
  10. Ramanujans
  11. Ramaphosa

Source and license

Adapted from Wiktionary: Ramanujan's sums (page history and authors); Ramanujan's sum (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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