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Bound $\ell_2$ norm of an embedding $\sigma_i \in\mathsf{Gal}(\mathbb{Q}(\zeta_n)/\mathbb{Q})$

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#number-theory #analytic-number-theory
71
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Möbius Inversion Forumla for for $\sum_{n}\pi(\sqrt[n]{x})$

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#number-theory #analytic-number-theory #mobius-inversion
230
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Transformation Identities of the $_2F_1$ function

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#integration #definite-integrals #special-functions #analytic-number-theory #hypergeometric-function
148
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On an upper bound for the summatory Möbius function

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#real-analysis #complex-analysis #number-theory #analytic-number-theory #riemann-hypothesis
72
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Lower bound of the zeros of the zeta function

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#complex-analysis #number-theory #analytic-number-theory
95
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A result related to Chebyshev function $\psi(x)$.

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#number-theory #prime-numbers #analytic-number-theory #chebyshev-function
64
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analytic continuation of the spectral zeta function

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#analytic-number-theory #spectral-theory #riemann-zeta #zeta-functions #analytic-continuation
47
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Ordinary generating functions related to prime numbers?

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#number-theory #prime-numbers #generating-functions #analytic-number-theory
165
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On the zeros of the Riemann Zeta function

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#complex-analysis #analysis #analytic-number-theory #riemann-zeta #riemann-hypothesis
87
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On the second moment of prime divisor function

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#prime-numbers #analytic-number-theory #arithmetic-functions
96
Views

Swapping the series and product in the zeta function euler product equality

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#number-theory #prime-numbers #analytic-number-theory #riemann-zeta #infinite-product
78
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Natural Density of Numbers Divisible by a Power of a Prime

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#elementary-number-theory #prime-numbers #analytic-number-theory
35
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Apply second mean-value theorem for integrals on $\int\limits_x^{1/2}\frac{\sin((2M+1)\pi t)}{\sin \pi t}\mathrm{d}t$

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#real-analysis #fourier-analysis #analytic-number-theory
113
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Fourier transform of $\exp(-\sinh(x)^2)$?

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#fourier-analysis #fourier-transform #analytic-number-theory #hyperbolic-functions
65
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Exponential sums reference

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#number-theory #reference-request #analytic-number-theory #exponential-sum #reference-works

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