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Inverse of Mellin transform with lower bound at $1$

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#laplace-transform #mellin-transform
518
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Using The Riemann Zeta Functional Equation

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#calculus #prime-numbers #riemann-zeta #complex-integration #mellin-transform
217
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Mellin transform q series

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#calculus #mellin-transform
387
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How do you prove that $M(N)=O(N^{1/2+\epsilon})$ from the Riemann Hypothesis?

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#analytic-number-theory #riemann-hypothesis #mellin-transform
984
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Definite integral with modified Bessel functions of first and second kind

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#definite-integrals #contour-integration #bessel-functions #elliptic-integrals #mellin-transform
75
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Mellin transform of rescaled delta distributions

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#analytic-number-theory #distribution-theory #dirac-delta #mellin-transform
366
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A functional equation relating two harmonic sums.

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#sequences-and-series #mellin-transform
1.8k
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Derivation of Perron's formula

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#complex-analysis #number-theory #analytic-number-theory #dirichlet-series #mellin-transform
105
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The equivalent of "tempered distributions" for the Mellin transform?

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#distribution-theory #harmonic-analysis #mellin-transform
553
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What is the origin of this Riemann Hypothesis equivalent involving the Liouville function?

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#reference-request #riemann-hypothesis #mobius-function #mellin-transform #liouville-function
486
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Functional equation of the Hurwitz Zeta function and a certain harmonic sum.

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#sequences-and-series #mellin-transform
259
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Integral Representation for the Fox-H function on several variables

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#integration #improper-integrals #contour-integration #mellin-transform
458
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Mellin transform of Gumbel distribution

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#integration #transformation #integral-transforms #mellin-transform
878
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Evaluating $\sum_{n=1}^\infty \frac{n^3}{e^{2\pi n}-1}$ using inverse Mellin transform

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#calculus #sequences-and-series #complex-analysis #mellin-transform
455
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mellin transform of a function related to the derivative of Riemann zeta function

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#mellin-transform

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