Euler's totient function

Summary

Euler's totient function is a function^[1]. It ranks in the top 4% of function entities by monthly Wikipedia readership (1,165 views/month).^[2]

Key Facts

• Euler's totient function is credited with the discovery of Leonhard Euler^[3].
• Euler's totient function's image is recorded as EulerPhi.svg^[4].
• Euler's totient function's instance of is recorded as function^[5].
• Euler's totient function's instance of is recorded as arithmetic function^[6].
• Euler's totient function's instance of is recorded as multiplicative function^[7].
• Euler's totient function's instance of is recorded as natural domain and range function^[8].
• Leonhard Euler is named after Euler's totient function^[9].
• Euler's totient function's Commons category is recorded as Totient function^[10].
• Euler's totient function's Freebase ID is recorded as /m/0f063^[11].
• Euler's totient function's OEIS ID is recorded as A000010^[12].
• Euler's totient function's Encyclopædia Britannica Online ID is recorded as topic/Euler-phi-function^[13].
• Euler's totient function's different from is recorded as Euler function^[14].
• Euler's totient function's different from is recorded as Q1463607^[15].
• Euler's totient function's defining formula is recorded as \varphi(n)=n\prod_{p|n}\left(1-\frac{1}{p}\right)^[16].
• Euler's totient function's studied by is recorded as modular arithmetic^[17].
• Euler's totient function's MathWorld ID is recorded as TotientFunction^[18].
• Euler's totient function's Quora topic ID is recorded as Eulers-Totient-Function^[19].
• Euler's totient function's JSTOR topic ID is recorded as eulers-totient-function^[20].
• Euler's totient function's maintained by WikiProject is recorded as WikiProject Mathematics^[21].
• Euler's totient function's Fandom article ID is recorded as math:Euler's_totient_function^[22].
• Euler's totient function's Microsoft Academic ID is recorded as 198944804^[23].
• Euler's totient function's Brilliant Wiki ID is recorded as eulers-totient-function^[24].
• Euler's totient function's ProofWiki ID is recorded as Definition:Euler_Phi_Function^[25].
• Euler's totient function's NicoNicoPedia ID is recorded as オイラーのφ関数^[26].
• Euler's totient function's Encyclopedia of Mathematics article ID is recorded as Euler_function^[27].

Body

Works and Contributions

Euler's totient function is credited with the discovery of Leonhard Euler^[3].

Why It Matters

Euler's totient function ranks in the top 4% of function entities by monthly Wikipedia readership (1,165 views/month).^[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.^[28] It is known by 93 alternative names across languages and contexts.^[29]