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Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.
List of letters used in mathematics and science; Glossary of mathematical symbols; List of mathematical uses of Latin letters; Greek letters used in mathematics, science, and engineering; Physical constant; Physical quantity; International System of Units; ISO 31
Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities.
The uppercase zeta is not used, because it is normally identical to Latin Z. The lower case letter can be used to represent: The Riemann zeta function in mathematics [3] The Hurwitz Zeta Function in mathematics [4] The Weierstrass zeta-function [5] The damping ratio of an oscillating system in engineering and physics
The symbol ϵ (U+03F5) is designated specifically for the lunate form, used as a technical symbol. The symbol ϑ ("script theta") is a cursive form of theta (θ), frequent in handwriting, and used with a specialized meaning as a technical symbol. The symbol ϰ ("kappa symbol") is a cursive form of kappa (κ), used as a technical symbol.
The Riemann zeta function ζ(z) plotted with domain coloring. [1] The pole at = and two zeros on the critical line.. The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (), is a mathematical function of a complex variable defined as () = = = + + + for >, and its analytic continuation elsewhere.
Potential difference in physics (in volts) The radial integral in the spin-orbit matrix operator in atomic physics. The Killing vector in general relativity. Average logarithmic energy decrement per collision (neutron calculations in nuclear physics) Pippard's cohesion length in superconductors; The diameter of a crystal nucleus in nucleation ...
Minakshisundaram–Pleijel zeta function of a Laplacian; Motivic zeta function of a motive; Multiple zeta function, or Mordell–Tornheim zeta function of several variables; p-adic zeta function of a p-adic number; Prime zeta function, like the Riemann zeta function, but only summed over primes; Riemann zeta function, the archetypal example ...