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simple question on euler product of zeta function

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#number-theory #algebraic-geometry #power-series #zeta-functions
405
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More on the log sine integral $\int_0^{\pi }\theta ^{3}\log^{3}\left ( 2\sin\frac{\theta }{2} \right )\mathrm{d}\theta$

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#calculus #integration #closed-form #zeta-functions #polylogarithm
53
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Patterns for the polylogarithm $\rm{Li}_m\big(\tfrac12\big)$ and Nielsen polylogarithm $S_{n,p}\big(\tfrac12\big)$?

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#special-functions #closed-form #zeta-functions #polylogarithm
174
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Closed form for sum of powers

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#summation #harmonic-numbers #zeta-functions
306
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Apéry's constant by triple integral

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#integration #power-series #riemann-zeta #zeta-functions
308
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Formula for the reciprocal of the Hurwitz zeta function

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#number-theory #analytic-number-theory #zeta-functions #riemann-hypothesis
424
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Infinite Series $\sum_{n=1}^\infty\frac{H_n}{n^5 2^n}$

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#real-analysis #sequences-and-series #closed-form #harmonic-numbers #zeta-functions
290
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Is there an identity between the Clausen function $\rm{Cl}_8\left(\frac\pi3\right)$ and $\sum_{n=1}^\infty \frac{1}{n^9\,\binom {2n}n}$?

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#definite-integrals #binomial-coefficients #special-functions #zeta-functions #experimental-mathematics
56
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Roots of modified zeta function

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#zeta-functions
119
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generating function of sum of divisors function

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#number-theory #analytic-number-theory #computational-mathematics #zeta-functions #computational-number-theory
75
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How to get to formula for derivative of zeta/zeta

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#integration #complex-analysis #riemann-zeta #zeta-functions #riemann-hypothesis
185
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Concept about $\binom{ \infty}k$

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#number-theory #combinations #riemann-zeta #zeta-functions
138
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Complex integral related to incomplete gamma function

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#integration #gamma-function #zeta-functions
133
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Expansion of prime zeta function near singularities

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#prime-numbers #asymptotics #taylor-expansion #zeta-functions #singularity
119
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The inverse infinite sum of square free numbers

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#sequences-and-series #number-theory #transcendental-numbers #zeta-functions

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