query: Riemann Zeta Function and Including Complex Numbers
positive_passages.docid: 4340
positive_passages.text: Why does $1+2+3+\cdots = -\frac{1}{12}$?
negative_passages.docid: 142619
negative_passages.text: Evaluating the complex integral $\int_{|z|=2}^{}\frac{1}{z^2+1}dz$
negative_passages.docid: 116730
negative_passages.text: An "elementary" approach to complex exponents?
negative_passages.docid: 81571
negative_passages.text: Complex Exponent of Complex Numbers
negative_passages.docid: 58286
negative_passages.text: Why does the $\sum_{n>1}(\zeta(n)-1)=1?$
negative_passages.docid: 157946
negative_passages.text: Elementary derivation of certian identites related to the Riemannian Zeta function and the Euler-Mascheroni Constant
negative_passages.docid: 120092
negative_passages.text: Express the complex numbers given in Problem in the form $a+ib$
negative_passages.docid: 46701
negative_passages.text: Complex Number Proof Questions
negative_passages.docid: 11575
negative_passages.text: Application of Riemann mapping theorem
negative_passages.docid: 120743
negative_passages.text: For Riemann sums involving square roots, why do we let $c_{i} = \frac{i^{2}}{ n^{2}}$?
negative_passages.docid: 62471
negative_passages.text: Homework: Complex integral equation
negative_passages.docid: 20945
negative_passages.text: On a series involving harmonic numbers
negative_passages.docid: 94264
negative_passages.text: How to evaluate Riemann Zeta function
negative_passages.docid: 15477
negative_passages.text: Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?
negative_passages.docid: 121128
negative_passages.text: Calculating a Residue at one of the poles of $\frac{1}{1+z^n}$
negative_passages.docid: 22524
negative_passages.text: Proving that $\frac{\pi^{3}}{32}=1-\sum_{k=1}^{\infty}\frac{2k(2k+1)\zeta(2k+2)}{4^{2k+2}}$
negative_passages.docid: 38674
negative_passages.text: Do complex numbers really exist?