Question

Understanding a famous proof by Jitsuro Nagura: Need help understanding one step in the main theorem

score 571 · Answer 1 · 2013-04-22 01:57:51

571

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Understanding a famous proof by Jitsuro Nagura: Need help understanding one step in the main theorem

Published on 22 Apr 2013 - 1:57

score 776 · Answer 2 · 2013-04-23 03:25:31

776

Views

Looking for help understanding the Möbius Inversion Formula

Published on 23 Apr 2013 - 3:25

score 137 · Answer 3 · 2013-05-01 20:49:59

137

Views

Looking for help in understanding Jitsuro Nagura's analysis of the upper bound for $\psi(x)$

Published on 01 May 2013 - 20:49

score 183 · Answer 4 · 2013-05-04 07:37:52

183

Views

Generalizing Jitsuro Nagura's result: my resulting upper bound for the second chebyshev function is too low. What am I doing wrong?

Published on 04 May 2013 - 7:37

score 377 · Answer 5 · 2013-05-09 06:46:16

377

Views

Can the Möbius inversion formula be applied to the second Chebyshev function?

Published on 09 May 2013 - 6:46

score 146 · Answer 6 · 2013-05-12 01:15:31

146

Views

Trying to show that $\ln(x!) - \ln(\lfloor\frac{x}{2}\rfloor!) - \ln(\lfloor\frac{x}{3}\rfloor!) - \ln(\lfloor\frac{x}{6}\rfloor!) \ge \psi(x)$

Published on 12 May 2013 - 1:15

score 219 · Answer 7 · 2013-05-16 18:37:46

219

Views

Trying to understand Theorem 2.27 in a recent paper on the Chebyshev function

Published on 16 May 2013 - 18:37

score 133 · Answer 8 · 2017-07-02 20:53:39

133

Views

The quality of specific triples based on the first $2n$ prime numbers

Published on 02 Jul 2017 - 20:53

score 202 · Answer 9 · 2017-07-04 20:10:47

202

Views

Proof of increasing positive valued function

Published on 04 Jul 2017 - 20:10

score 333 · Answer 10 · 2017-07-26 17:19:36

333

Views

Big O and Asymptotic Notation

Published on 26 Jul 2017 - 17:19

score 116 · Answer 11 · 2017-08-05 19:54:06

116

Views

Question regarding Chebyshev function bound with product

Published on 05 Aug 2017 - 19:54

score 90 · Answer 12 · 2017-08-14 05:15:54

90

Views

Lower bound for the limit of a ratio related to the distribution of primes.

Published on 14 Aug 2017 - 5:15

score 93 · Answer 13 · 2017-09-14 16:42:12

93

Views

Is $\sum_{\rho}\frac{x^{\rho+1}}{\rho\left(\rho+1\right)}$ differentiable term by term?

Published on 14 Sep 2017 - 16:42

score 1.2k · Answer 14 · 2017-10-19 00:30:55

1.2k

Views

How would I use Chebyshev's inequality for this problem?

Published on 19 Oct 2017 - 0:30

score 540 · Answer 15 · 2026-03-25 11:11:51

540

Views

Gauss - Chebyshev Quadrature confusion. Please help.

Published on 25 Mar 2026 - 11:11

List Question

Understanding a famous proof by Jitsuro Nagura: Need help understanding one step in the main theorem

Looking for help understanding the Möbius Inversion Formula

Looking for help in understanding Jitsuro Nagura's analysis of the upper bound for $\psi(x)$

Generalizing Jitsuro Nagura's result: my resulting upper bound for the second chebyshev function is too low. What am I doing wrong?

Can the Möbius inversion formula be applied to the second Chebyshev function?

Trying to show that $\ln(x!) - \ln(\lfloor\frac{x}{2}\rfloor!) - \ln(\lfloor\frac{x}{3}\rfloor!) - \ln(\lfloor\frac{x}{6}\rfloor!) \ge \psi(x)$

Trying to understand Theorem 2.27 in a recent paper on the Chebyshev function

The quality of specific triples based on the first $2n$ prime numbers

Proof of increasing positive valued function

Big O and Asymptotic Notation

Question regarding Chebyshev function bound with product

Lower bound for the limit of a ratio related to the distribution of primes.

Is $\sum_{\rho}\frac{x^{\rho+1}}{\rho\left(\rho+1\right)}$ differentiable term by term?

How would I use Chebyshev's inequality for this problem?

Gauss - Chebyshev Quadrature confusion. Please help.

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