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LaTeX symbols›Greek Lowercase›Varphi

Varphi in LaTeX

The LaTeX command for varphi (φ) is \varphi (variant phi (script)).

φ\varphiφ
\varphi
Greek Lowercase · Unicode φ (U+03C6) · no package needed

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Which command should you use?

CommandPackageUse it when
\varphi recommendednoneLoopy phi, the usual one in most texts.
\phi noneStraight-stroke phi.
\upvarphi upgreekUpright loopy phi.
\varnothing amssymbThe empty set, round form: not a phi.
Table 1. Ways to write varphi in LaTeX. Every line was compiled with pdfLaTeX (TeX Live 2026) loading only the package shown.
Common mistake. Neither \varphi nor \phi is the empty set: write \emptyset or \varnothing.

How to type Varphi

Write \varphi inside math mode, that is between $…$ for inline math or in a \[ … \] or equation block for display math. It is part of core LaTeX math, so no extra package is required.

Example
$\varphi(n) = n \prod_{p \mid n} \left(1 - \frac{1}{p}\right)$φ(n)=n∏p∣n(1−1p)\varphi(n) = n \prod_{p \mid n} \left(1 - \frac{1}{p}\right)φ(n)=np∣n∏​(1−p1​)

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Often confused with

  • Phi \phi (ϕ)
  • Emptyset \emptyset (∅): empty set
  • Varnothing \varnothing (∅): variant empty set (preferred)

Related Greek Lowercase symbols

ρ\rhoϱ\varrhoσ\sigmaς\varsigmaτ\tauυ\upsilonϕ\phiχ\chiψ\psiω\omegaα\alphaβ\betaγ\gammaδ\delta

Lowercase Greek letters in LaTeX: the full table or search all 350+ LaTeX symbols.

FAQ

How do you write varphi (φ) in LaTeX?

Use \varphi in math mode; it needs no extra package. For example, $\varphi(n) = n \prod_{p \mid n} \left(1 - \frac{1}{p}\right)$.

Which package provides \varphi?

None: \varphi is built into LaTeX, so no extra package is required.

What is the most common mistake with varphi in LaTeX?

Neither \varphi nor \phi is the empty set: write \emptyset or \varnothing.

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