Ramanujan theta function

proper noun

A theta function that generalizes the form of the Jacobi theta functions while capturing their general properties. It is defined as: f(a,b)=∑_(n=-∞) ᪲a^( frac )n(n+1)2;b^( frac )n(n-1)2 for |ab| < 1.

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Meanings

proper nounthe Ramanujan theta function
  1. mathematicsA theta function that generalizes the form of the Jacobi theta functions while capturing their general properties. It is defined as: f(a,b)=∑_(n=-∞) ᪲a^( frac )n(n+1)2;b^( frac )n(n-1)2 for |ab| < 1.

Origin

Named after mathematician Srinivasa Ramanujan.

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Cite this entry
APA

Ramanujan theta function. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Ramanujan%20theta%20function

MLA

“Ramanujan theta function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Ramanujan%20theta%20function. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Ramanujan theta function,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Ramanujan%20theta%20function.

Source: Ramanujan theta function on Wiktionary, CC BY-SA 4.0.