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Ramanujan's sum

Ramanujan's sum noun: 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.

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.

Forms of Ramanujan's sum

pluralRamanujan's sums

Questions about Ramanujan's sum

What does Ramanujan's sum mean?
Ramanujan's sum means 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.
What part of speech is Ramanujan's sum?
Ramanujan's sum is a noun.
What is the plural of Ramanujan's sum?
The plural of Ramanujan's sum is Ramanujan's sums.

Words near Ramanujan's sum in the dictionary

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

Source and license

Adapted from Wiktionary: 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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