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15
109
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On an inequality involving the radical of an integer and its greatest prime factor

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#sequences-and-series #inequality #prime-numbers #analytic-number-theory #prime-factorization
234
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An inequality involving the radical of an integer and its greatest prime factor

Published on
#inequality #prime-numbers #asymptotics #analytic-number-theory #prime-factorization
102
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Are there infinitely many primes of the form $2\,m^{\operatorname{gpf}(m)}+1$ when $m$ runs over positive integers?

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#elementary-number-theory #prime-numbers #analytic-number-theory #prime-factorization
111
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Is this expression of the Riemann zeta function as a Mellin transform true for $\Im\{s\}\neq 0$?

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#laplace-transform #analytic-number-theory #riemann-zeta #dirac-delta #mellin-transform
65
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The order of magnitude of $\prod_{p \leq N}(1 + p^{-r})$ as $N \to \infty$

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#calculus #prime-numbers #analytic-number-theory
223
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Newman's proof of the Asymptotic Formula for the Partition Function

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#complex-analysis #analytic-number-theory #riemann-sum #integer-partitions
190
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The ordinary generating function for the square-free kernel: reference request about singularities and its phase plot

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#complex-analysis #reference-request #generating-functions #analytic-number-theory #singularity
40
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A result on binary forms

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#number-theory #reference-request #analytic-number-theory
75
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An integral relation of gamma function

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#integration #complex-analysis #improper-integrals #analytic-number-theory #gamma-function
141
Views

Landau's theorem with nth roots

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#analytic-number-theory #mobius-function
291
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Positive dimension for modular forms with weight 2.

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#number-theory #algebraic-number-theory #analytic-number-theory #modular-forms #arithmetic-geometry
117
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A result concluded by Dirichlet's theorem

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#number-theory #prime-numbers #fourier-analysis #analytic-number-theory
62
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Analytic Number Theory calculation involving zeta

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#analytic-number-theory #riemann-zeta
55
Views

Some Analytic Number Theory Bounds

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#complex-analysis #proof-explanation #analytic-number-theory
130
Views

Strengthening Bertrand's postulate using the prime number theorem

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#reference-request #analytic-number-theory

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