| 单词 | zeta function |
| 释义 | > as lemmaszeta function zeta function n. Mathematics (a) any member of several families of functions connected with elliptic integrals, typically denoted by ‘Z’ or ‘ζ’; (b) the Riemann zeta function; (in later use also) any of various functions generalizing the Riemann zeta function to a different context or otherwise regarded as somehow analogous to it.Frequently with modifying word. ΚΠ 1879 Proc. Royal Soc. 29 351 (heading) ‘Values of the Theta and Zeta Functions for certain Values of the Argument.’ By J. W. L. Glaisher. 1901 Philos. Trans. (Royal Soc.) A. 196 266 The Double Riemann Zeta Function. 1943 Ann. Math. 44 144 The second part of the paper is concerned with similar problems for certain Epstein zeta-functions. 1995 Amer. Math. Monthly 102 432 An antiderivative for the function..is given by the Weierstrass zeta function. 2015 I. Stewart Professor Stewart's Incredible Numbers (Electronic ed.) If we know enough about the zeros of the zeta function, we can deduce a lot of new information about the primes from Riemann's formula. < as lemmas |
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