User Mats Granvik

3 votes

0 answers

273 views

Can you prove and/or generalize this formula involving the Möbius function at n = square free numbers for elliptic curve related sequence in the OEIS?

asked Oct 9, 2023 at 15:56

3 votes

0 answers

226 views

Is this irregular curve asymptotic to $\log (2) (\log (x)-\log (2))^2-\frac{\log (2)}{2}$, or is the asymptotic something else?

asked Aug 4, 2023 at 0:00

2 votes

4 answers

3k views

Prove that the real part of this limit converges to $\frac{1}{2}$

asked Nov 7, 2020 at 16:23

4 votes

1 answer

523 views

Do prime gaps that are a power of "h" have the same density?

asked Feb 5, 2018 at 16:32

0 votes

0 answers

140 views

Does it make sense to express upper bounds on arithmetic sequences with Dirichlet generating functions?

asked May 28, 2022 at 19:23

1 vote

1 answer

405 views

When does this limiting ratio give a real root $x$ to the equation of the form $\sum\limits_{k=0}^d \frac{x^k a_{k+1}}{k!}=0$?

asked Jun 26, 2020 at 12:01

0 votes

1 answer

220 views

Correlating the von Mangoldt function with periodic sequences

asked Jul 10, 2021 at 16:24

1 vote

0 answers

186 views

Is it possible in principle (but not in practice) to recursively factor away the Riemann zeta zeros as they are computed?

asked Nov 18, 2021 at 21:54

1 vote

1 answer

594 views

Are the Riemann zeta zeros of the form $-\text{integer } i \pi +\log \left(\text{polynomial root}\right)$?

asked Jul 19, 2021 at 22:27

5 votes

3 answers

1k views

What is the asymptotic of the irregular blue curve? Is it $(8x)^{1/2}$ or is it something else?

asked May 1, 2020 at 9:40

1 vote

0 answers

149 views

Prove that: $\sum _{c=1}^n \sum _{b=1}^n \sum _{a=1}^n \left(\left([b|c][b|a]\frac{\mu(b)b}{a}\right)-\frac{1}{a b\sqrt{c}}\right)<H_n+n$

asked Feb 14, 2021 at 12:02

3 votes

3 answers

486 views

Show that the ratio of limits converges to the nearest Riemann zeta zero except when the ratio is a singularity

asked Aug 7, 2020 at 4:35

6 votes

1 answer

603 views

Attempt at applying linear programming to the partial sums of the Möbius inverse of the Harmonic numbers

asked Nov 12, 2019 at 20:09

49 votes

2 answers

10k views

Is this Riemann zeta function product equal to the Fourier transform of the von Mangoldt function?

asked Apr 1, 2014 at 15:37

7 votes

0 answers

894 views

The Möbius function as eigenvalues

asked Nov 13, 2019 at 17:47

1 vote

0 answers

168 views

Prove that these linear programming problems are bounded by $O(k^{1/2})$ [closed]

asked Jun 22, 2019 at 11:29

0 votes

0 answers

228 views

What do square roots as minimums have to do with Harmonic numbers?

asked Jun 6, 2019 at 19:40

4 votes

1 answer

939 views

Arithmetic properties of a sum related to the first Hardy-Littlewood conjecture

asked Aug 23, 2018 at 18:49

1 vote

0 answers

221 views

Primes approximated by eigenvalues?

asked Jun 26, 2018 at 10:25

1 vote

0 answers

96 views

Are the elements in the n-th row of the first matrix a permutation of the elements in the n-th row of the second matrix?

asked May 20, 2018 at 11:07

0 votes

1 answer

243 views

Can there be more than two zeta zeros in between a Gram point and a França-LeClair point?

asked Jan 14, 2017 at 11:44

1 vote

0 answers

243 views

The Franca-Leclair approximation does not exactly approximate the Riemann zeta zeros but rather the points where only the real part of zeta is zero

asked May 12, 2016 at 20:36

4 votes

1 answer

263 views

What explains the asymptotic and the pattern in this sequence related to Riemann zeta zeros?

asked May 1, 2016 at 12:46

1 vote

0 answers

126 views

For which integer values of $k$ can we find one solution to the equation $\sum\limits_{n=1}^{n=k} \frac{1}{n^s}=0$ by iteration? [closed]

asked Jan 15, 2016 at 15:10

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24 Questions

Can you prove and/or generalize this formula involving the Möbius function at n = square free numbers for elliptic curve related sequence in the OEIS?

Is this irregular curve asymptotic to $\log (2) (\log (x)-\log (2))^2-\frac{\log (2)}{2}$, or is the asymptotic something else?

Prove that the real part of this limit converges to $\frac{1}{2}$

Do prime gaps that are a power of "h" have the same density?

Does it make sense to express upper bounds on arithmetic sequences with Dirichlet generating functions?

When does this limiting ratio give a real root $x$ to the equation of the form $\sum\limits_{k=0}^d \frac{x^k a_{k+1}}{k!}=0$?

Correlating the von Mangoldt function with periodic sequences

Is it possible in principle (but not in practice) to recursively factor away the Riemann zeta zeros as they are computed?

Are the Riemann zeta zeros of the form $-\text{integer } i \pi +\log \left(\text{polynomial root}\right)$?

What is the asymptotic of the irregular blue curve? Is it $(8x)^{1/2}$ or is it something else?

Prove that: $\sum _{c=1}^n \sum _{b=1}^n \sum _{a=1}^n \left(\left([b|c][b|a]\frac{\mu(b)b}{a}\right)-\frac{1}{a b\sqrt{c}}\right)<H_n+n$

Show that the ratio of limits converges to the nearest Riemann zeta zero except when the ratio is a singularity

Attempt at applying linear programming to the partial sums of the Möbius inverse of the Harmonic numbers

Is this Riemann zeta function product equal to the Fourier transform of the von Mangoldt function?

The Möbius function as eigenvalues

Prove that these linear programming problems are bounded by $O(k^{1/2})$ [closed]

What do square roots as minimums have to do with Harmonic numbers?

Arithmetic properties of a sum related to the first Hardy-Littlewood conjecture

Primes approximated by eigenvalues?

Are the elements in the n-th row of the first matrix a permutation of the elements in the n-th row of the second matrix?

Can there be more than two zeta zeros in between a Gram point and a França-LeClair point?

The Franca-Leclair approximation does not exactly approximate the Riemann zeta zeros but rather the points where only the real part of zeta is zero

What explains the asymptotic and the pattern in this sequence related to Riemann zeta zeros?

For which integer values of $k$ can we find one solution to the equation $\sum\limits_{n=1}^{n=k} \frac{1}{n^s}=0$ by iteration? [closed]