Algebraic Number Theory
《Algebraic Number Theory》 · 第 515 页 · Appendix B「Bernoulli numbers and the Euler–Maclaurin summation formula」
Siegel (1932) discovered indications of a more rapidly convergent formula, known today as the Riemann–Siegel formula: $Z(t)=2\sum_{n=1}^{m}n^{-1/2}\cos(\theta-t\log n)+R(t)$.