Question

Is it possible to study the properties of sequences by studying the family of polynomials generated with the elements as coefficients?

score 118 · Answer 1 · 2016-05-17 00:58:01

118

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Is it possible to study the properties of sequences by studying the family of polynomials generated with the elements as coefficients?

Published on 17 May 2016 - 0:58

score 140 · Answer 2 · 2016-05-17 08:25:55

140

Views

Can you provide us a good approximation for $\sum_{n=1}^{\infty} \left| \log \left( 1+\frac{\mu(n)}{n^2} \right) \right|$?

Published on 17 May 2016 - 8:25

score 124 · Answer 3 · 2016-05-24 00:50:39

124

Views

Need help bounding Merten's function for large x

Published on 24 May 2016 - 0:50

score 327 · Answer 4 · 2026-03-26 03:18:36

327

Views

Mobius function related series and Dirichlet summation

Published on 26 Mar 2026 - 3:18

score 1.2k · Answer 5 · 2016-06-01 13:52:07

1.2k

Views

inclusion-exclusion formula and Mobius inversion formula

Published on 01 Jun 2016 - 13:52

score 111 · Answer 6 · 2016-06-16 23:30:51

111

Views

How is the Möbius function in boolean sets?

Published on 16 Jun 2016 - 23:30

score 67 · Answer 7 · 2016-07-04 19:55:58

67

Views

What is the domain for which this integral transform is defined?

Published on 04 Jul 2016 - 19:55

score 43 · Answer 8 · 2026-03-26 12:36:38

43

Views

How good is the pseudo-radom-sequence assuming the truth of RH?

Published on 26 Mar 2026 - 12:36

score 72 · Answer 9 · 2016-07-05 13:38:51

72

Views

Integration by parts, the Möbius function and the Apéry's contant

Published on 05 Jul 2016 - 13:38

score 445 · Answer 10 · 2026-03-25 23:11:05

445

Views

How to show $\sum_{d\mid n} \frac{\mu^2(d)}{d} =\prod_{p|n} \left(1+\frac{1}{p}\right)$?

Published on 25 Mar 2026 - 23:11

score 889 · Answer 11 · 2026-03-25 19:25:12

889

Views

Question - Möbius inversion formula

Published on 25 Mar 2026 - 19:25

score 537 · Answer 12 · 2014-01-08 09:22:35

537

Views

How to prove that $n\sum\limits_{d\mid n}\frac{|\mu(d)|}{d}=\sum\limits_{d^2\mid n}\mu(d)\sigma\left(\frac{n}{d^2}\right)$?

Published on 08 Jan 2014 - 9:22

score 138 · Answer 13 · 2026-03-25 19:25:10

138

Views

How to show this equality using Mobius function?

Published on 25 Mar 2026 - 19:25

score 225 · Answer 14 · 2017-04-26 22:37:07

225

Views

Prove or refute $\prod_{k=1}^\infty\left(\sum_{n=0}^\infty p(n)x^{kn}\right)^{\frac{\mu(k)}{k}}=e^{\frac{x}{1-x}}$

Published on 26 Apr 2017 - 22:37

score 128 · Answer 15 · 2026-03-25 22:30:55

128

Views

Rate of convergence of a series

Published on 25 Mar 2026 - 22:30

List Question

Is it possible to study the properties of sequences by studying the family of polynomials generated with the elements as coefficients?

Can you provide us a good approximation for $\sum_{n=1}^{\infty} \left| \log \left( 1+\frac{\mu(n)}{n^2} \right) \right|$?

Need help bounding Merten's function for large x

Mobius function related series and Dirichlet summation

inclusion-exclusion formula and Mobius inversion formula

How is the Möbius function in boolean sets?

What is the domain for which this integral transform is defined?

How good is the pseudo-radom-sequence assuming the truth of RH?

Integration by parts, the Möbius function and the Apéry's contant

How to show $\sum_{d\mid n} \frac{\mu^2(d)}{d} =\prod_{p|n} \left(1+\frac{1}{p}\right)$?

Question - Möbius inversion formula

How to prove that $n\sum\limits_{d\mid n}\frac{|\mu(d)|}{d}=\sum\limits_{d^2\mid n}\mu(d)\sigma\left(\frac{n}{d^2}\right)$?

How to show this equality using Mobius function?

Prove or refute $\prod_{k=1}^\infty\left(\sum_{n=0}^\infty p(n)x^{kn}\right)^{\frac{\mu(k)}{k}}=e^{\frac{x}{1-x}}$

Rate of convergence of a series

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