💡 Words with a Similar Meaning to "Zeta function"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| zetanoun | The sixth letter of the modern Greek alphabet (Ζ, ζ) preceded by epsilon (Ε, ε) and followed by eta, (Η, η); or the seventh letter in the ancient Greek alphabet, in which it is preceded by digamma (Ϝ, ϝ) |
| riemann zeta functionnoun | (number theory, analytic number theory, uncountable) The function ζ defined by the Dirichlet series ζ(s)=∑ₙ₌₁ ᪲1/(nˢ)=1/(1ˢ)+1/(2ˢ)+1/(3ˢ)+1/(4ˢ)+⋯, which is summable for points s in the complex half-plane with real part > 1; the analytic continuation of said function, being a holomorphic function defined on the complex numbers with pole at 1. |
| riemann zeta-functionnoun | Alternative spelling of Riemann zeta function. [(number theory, analytic number theory, uncountable) The function ζ defined by the Dirichlet series ζ(s)=∑ₙ₌₁ ᪲1/(nˢ)=1/(1ˢ)+1/(2ˢ)+1/(3ˢ)+1/(4ˢ)+⋯, which is summable for points s in the complex half-plane with real part > 1; the analytic continuation of said function, being a holomorphic function defined on the complex numbers with pole at 1.] |
| zeta valuenoun | (mathematics) The value of a particular zeta function |
| polyzetanoun | (mathematics) A complex function related to zeta functions |
| dirichlet eta functionnoun | (mathematics, mathematical analysis) The alternating sum of the Dirichlet series expansion of the Riemann zeta function:η(s)=∑ₙ₌₁ ᪲(-1)ⁿ⁻¹/nˢ=1/(1ˢ)-1/(2ˢ)+1/(3ˢ)-1/(4ˢ)+⋯. |
| syzygantnoun | (mathematics) A rational integral function of the invariants of a quantic that vanishes when expressed as a function of the coefficients. |
| dirichlet seriesnoun | (number theory) Any infinite series of the form ∑ₙ₌₁ ᪲(a_n)/(nˢ), where s and each a_n are complex numbers. |
| sigmanoun | (mathematics) The symbol Σ, used to indicate summation of a set or series. |
| gamma functionnoun | (mathematical analysis) A meromorphic function which generalizes the notion of factorial to complex numbers and has singularities at the nonpositive integers; any of certain generalizations or analogues of said function, such as extend the factorial to domains other than the complex numbers. |
| dirac delta functionnoun | (mathematics) A function of one real argument, whose value is zero when the argument is nonzero, and whose integral is one over any interval that includes zero. |
| superfunctionnoun | (mathematics) An iterated function for complexified continuous iteration index. |
| power seriesnoun | (mathematics, mathematical analysis) Any infinite series of the general form ∑ᵢ₌₀ ᪲a_i(x-c)ⁱ. |
| stieltjes constantnoun | (mathematics) Any of a certain series of numbers that occur in the Laurent series expansion of the Riemann zeta function. |
| sigmoid functionnoun | (mathematical analysis, statistics) Any of various real functions whose graph resembles an elongated letter "S"; specifically, the logistic function y=(eˣ)/(eˣ+1)=1/(1+e⁻ˣ). |
| harmonic seriesnoun | (mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n. |
| seriesnoun | A number of things that follow on one after the other or are connected one after the other. |
| summation methodnoun | (mathematical analysis) Any of various methods for constructing generalized sums of series |
| theta functionnoun | (mathematics) Any of a group of special functions of several complex variables, important in many areas, including the theories of abelian varieties and moduli spaces, and of quadratic forms. |
| siegel zeronoun | (mathematics) A type of potential counterexample to the generalized Riemann hypothesis, on the zeros of Dirichlet L-function. |
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