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10
Math.TechQA.Club
2025-01-12 22:50:39
883
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Evaluating $\sum_{n=1}^\infty \frac{n^3}{e^{2\pi n}-1}$ using inverse Mellin transform
Published on
12 Jan 2025 - 22:50
#calculus
#sequences-and-series
#complex-analysis
#mellin-transform
460
Views
mellin transform of a function related to the derivative of Riemann zeta function
Published on
12 Jan 2025 - 22:52
#mellin-transform
188
Views
How to use an inverse Mellin transform to get to the $\mathrm{core}(n)$?
Published on
12 Jan 2025 - 22:46
#number-theory
#analytic-number-theory
#mellin-transform
1k
Views
Mysterious Inverse Mellin transform using residue theorem
Published on
12 Jan 2025 - 23:35
#complex-analysis
#gamma-function
#residue-calculus
#zeta-functions
#mellin-transform
293
Views
Exactness of harmonic sum using Mellin transformation
Published on
12 Jan 2025 - 22:38
#complex-analysis
#analysis
#harmonic-analysis
#mellin-transform
108
Views
A modified identity to an integration
Published on
12 Jan 2025 - 22:31
#calculus
#integration
#mellin-transform
140
Views
Indefinite integral - tricks for expressing solution concisely
Published on
12 Jan 2025 - 22:42
#indefinite-integrals
#contour-integration
#mellin-transform
658
Views
Proof of sine integral
Published on
12 Jan 2025 - 17:35
#calculus
#summation
#mellin-transform
799
Views
Integral calculation by using Mellin Transform
Published on
12 Jan 2025 - 22:33
#calculus
#contour-integration
#integral-transforms
#mellin-transform
109
Views
if $f(x)$ is periodic $\left|\int_1^\infty f(x) x^{-s} dx\right| \sim C\left|\int_1^\infty \sin(x) x^{-s} dx\right|$ when $\text{Im}(s) \to \infty$
Published on
12 Jan 2025 - 22:57
#fourier-analysis
#fourier-series
#gamma-function
#dirichlet-series
#mellin-transform
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