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15
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Closed form for $\sum_{n=1}^\infty \frac{1}{n(e^{2 n \pi}-1)}$

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#summation #infinite-product #theta-functions #ramanujan-summation #elliptic-modular-form
138
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Where can I find a proof of the asymptotic expresion of partition numbers by Hardy-Ramanujan?

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#number-theory #asymptotics #integer-partitions #ramanujan-summation
104
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Ramanujan sum of a function which diverges bot at $0$ and $1$

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#divergent-series #ramanujan-summation #summation-method
102
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Finite Ramanujan expansions over a finite field

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#number-theory #fourier-series #finite-fields #analytic-number-theory #ramanujan-summation
52
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What is this quantity?

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#sequences-and-series #prime-numbers #ramanujan-summation
280
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Proof of this trivial Ramanujan result

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#number-theory #summation #ramanujan-summation
642
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Convergence of infinite sum including cosh functions?

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#sequences-and-series #summation #divergent-series #summation-method #ramanujan-summation
98
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Is the linear subspace of elementary Ramanujan summable series closed under iteration?

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#power-series #divergent-series #ramanujan-summation
80
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What's the function that is related to 3 as the Riemann zeta function is related to 2?

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#power-series #divergent-series #dirichlet-series #ramanujan-summation
77
Views

Solving function which results singularity during discrete summation

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#discrete-mathematics #summation #summation-method #ramanujan-summation
84
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Are all series in the elementary Ramanujan class R = 1 non-summable by analytic continuation of Dirichlet series?

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#power-series #divergent-series #dirichlet-series #ramanujan-summation
442
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Significance of the Ramanujan summation

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#ramanujan-summation
1k
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Ramanujan Summation not consistent with Riemann's Zeta function?

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#riemann-zeta #divergent-series #ramanujan-summation
536
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Sum of the divisors of $n$, related to the Hardy-Littlewood circle method

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#number-theory #summation #divisor-sum #ramanujan-summation
821
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Ramanujan 1918 paper

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#reference-request #arithmetic-functions #ramanujan-summation

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