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Using the 2nd Chebyschev function for describing sums of primes

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#combinatorics #prime-numbers #logarithms #ceiling-and-floor-functions #chebyshev-function
98
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What are the Dirichlet transforms of $\Lambda(n+1)$ and $\frac{\Lambda(n+1)}{\log(n+1)}$?

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#number-theory #prime-numbers #riemann-zeta #dirichlet-series #chebyshev-function
500
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What's the sum of the inverses of the Primorial numbers?

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#number-theory #prime-numbers #infinite-product #primorial #chebyshev-function
83
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Question about the hint and answer.(inequality,and the relation between hint and question itself)

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#probability #inequality #chebyshev-function
49
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Finding new expectation using Chebyshev.

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#probability #markov-process #chebyshev-function
337
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Linear vs Orthogonal polynomial for fitting

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#polynomials #chebyshev-polynomials #chebyshev-function
160
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Is the sequence: $S_n=\Im(n\cdot\exp(\frac{2\pi\cdot i}{\log_{n}(p_n\#)})):n\in\Bbb N$ monotonic for $P_n>41893$?

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#complex-analysis #convergence-divergence #prime-numbers #maxima-minima #chebyshev-function
134
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How can I write $\sum\limits_{p \leq q \text{ prime}}\log (p-1)$ using Chebyshev's function(s)?

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#summation #prime-numbers #logarithms #chebyshev-function
92
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How do I write $\sum\limits_{p \leq q \text{ prime}}\log (p-x)$ using Chebyshev's function(s)?

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#summation #logarithms #chebyshev-function
211
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Is this a valid conclusion from Chebyshev's first and second function

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#elementary-number-theory #inequality #proof-explanation #chebyshev-function
57
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Is it true that if $x \ge 2000$, then the least common multiple of $\{1,2,3,\dots,x\}$ is greater than $2.499^x$

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#elementary-number-theory #least-common-multiple #chebyshev-function
244
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Chebyshev function: variational formulation

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#number-theory #reference-request #analytic-number-theory #calculus-of-variations #chebyshev-function
180
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Chebyshev's Inequality to solve amount of stock needed

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#probability #probability-theory #probability-distributions #chebyshev-function
484
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von Mangoldt's formula for Chebyshev $\psi$ function

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#number-theory #asymptotics #riemann-zeta #chebyshev-function
191
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Chebyshev function - show that $\psi(x)>(x-2)\log2-\log(x+1)$

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#number-theory #elementary-number-theory #ceiling-and-floor-functions #chebyshev-function

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