Ramanujan's sums

A form of Ramanujan's sum — 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.

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Meanings

noun
  1. pluralplural of Ramanujan's sum
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APA

Ramanujan's sums. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Ramanujan's%20sums

MLA

“Ramanujan's sums.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Ramanujan's%20sums. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Ramanujan's sums,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Ramanujan's%20sums.

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