Zeta (UK: /ˈziːtə/, US: /ˈzeɪtə/; uppercase Ζ, lowercase ζ; Ancient Greek: ζῆτα, Demotic Greek: ζήτα, classical [d͡zɛ̌ːta] or [zdɛ̌ːta] zē̂ta; Greek pronunciation:...

function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined as ζ ( s ) = ∑ n = 1 ∞ 1 n s = 1 1 s + 1 2 s...

values of which are ζ ′ ( − 2 ) = − ζ ( 3 ) 4 π 2 ζ ′ ( − 4 ) = 3 4 π 4 ζ ( 5 ) ζ ′ ( − 6 ) = − 45 8 π 6 ζ ( 7 ) ζ ′ ( − 8 ) = 315 4 π 8 ζ ( 9 ) . {\displaystyle...

the reciprocals of the positive cubes. That is, it is defined as the number ζ ( 3 ) = ∑ n = 1 ∞ 1 n 3 = lim n → ∞ ( 1 1 3 + 1 2 3 + ⋯ + 1 n 3 ) , {\displaystyle...

parameter, denoted by ζ ("zeta"), that can vary from undamped (ζ = 0), underdamped (ζ < 1) through critically damped (ζ = 1) to overdamped (ζ > 1). The behaviour...

zeta, ZETA, Zeta, zéta, or zêta in Wiktionary, the free dictionary. Zeta (Ζ or ζ) is the sixth letter of the Greek alphabet. Zeta or ZETA may also refer...

− ζ τ ( c 1 e τ ζ 2 − 1 + c 2 e − τ ζ 2 − 1 ) ζ > 1  (overdamping) e − ζ τ ( c 1 + c 2 τ ) = e − τ ( c 1 + c 2 τ ) ζ = 1  (critical damping) e − ζ τ [...

Riemann hypothesis for curves over finite fields. The Riemann zeta function ζ(s) is a function whose argument s may be any complex number other than 1,...

ζ-Carotene (zeta-carotene) is a carotenoid. It is different from α-carotene and β-carotene because it is acyclic. ζ-Carotene is similar in structure to...

( 2 ) H n ( 4 ) + 2 H n ( 6 ) ) → n → ∞ 1 6 π 6 ( ζ ( 2 ) 3 − 3 ζ ( 2 ) ζ ( 4 ) + 2 ζ ( 6 ) ) ⟹ ζ ( 6 ) = π 6 945 = − 3 ⋅ π 6 [ x 6 ] sin ⁡ ( x ) x −...