Does a simpler form exist for $\frac{\Re \left(\zeta(\frac12+it)\,\Gamma(\frac12+it)\right)}{\Im \left(\zeta(\frac12+it)\,\Gamma(\frac12+it)\right)}$?

score 62 · Answer 8 · 2026-03-25 17:42:20

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The argument of a finite Euler product at a non-trivial zero of $\zeta(s)$.

Published on 25 Mar 2026 - 17:42

score 210 · Answer 9 · 2020-05-16 13:41:23

210

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Inverse Fourier transform of $\Gamma(z)\zeta(2z)$

Published on 16 May 2020 - 13:41

score 361 · Answer 10 · 2026-03-25 22:01:46

361

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Why is analytic continuation practical?

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score 98 · Answer 11 · 2020-05-17 16:50:33

98

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$\frac{1+\frac{1}{2^{11}}+\frac{1}{3^{11}}+\frac{1}{4^{11}}+...}{1-\frac{1}{2^{11}}+\frac{1}{3^{11}}-\frac{1}{4^{11}}+...}$

Published on 17 May 2020 - 16:50

score 253 · Answer 12 · 2026-03-30 18:11:24

253

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Sum with Riemann zeta function

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score 28 · Answer 13 · 2026-03-28 14:44:30

28

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Limit superior of a fraction involving two hyperharmonic series

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score 97 · Answer 14 · 2020-05-19 17:44:46

97

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Formula for the general case of $\sum_{n=1}^\infty \frac{H_n}{n^2} = 2\zeta(3)$

Published on 19 May 2020 - 17:44

score 206 · Answer 15 · 2020-05-19 18:23:09

206

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A tweak to an integral for $(s-1)\,\Gamma(s)\,\zeta(s)$. What is its value at $s=0$?

Published on 19 May 2020 - 18:23

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