Skip to main content
Mats Granvik's user avatar
Mats Granvik's user avatar
Mats Granvik's user avatar
Mats Granvik
  • Member for 13 years, 4 months
  • Last seen this week
1 vote
0 answers
54 views

On how many circles will the roots of these constructed palindromic polynomials sit on?

4 votes
1 answer
154 views

How does one solve $y^y-x^x=x$ for $x$ as a function of $y$?

0 votes
0 answers
116 views

Prove that this limit is equal to $\sqrt{2}$ for the function $f(x)=x^2-2$ for an arbitrary seed point $s$.

1 vote
0 answers
94 views

Inequalities for the Dirichlet eta function at non-trivial Riemann zeta zeros.

7 votes
2 answers
984 views

What is the name for a polynomial with all coefficients equal to 1?

0 votes
0 answers
32 views

What would be the eta quotient for the Weierstrass equation $x^2 = y^2$?

0 votes
1 answer
131 views

Inclusion-exclusion formula for the Liouville Lambda function.

1 vote
1 answer
104 views

Freshman's dream and the commutativity of the square root of the Möbius function over the divisors.

0 votes
0 answers
79 views

What is the name for a matrix which is generated by a recursive sum whose form equals a recursive product when replacing the sums with products?

1 vote
0 answers
75 views

Do all of these partial sums of roots of unity have real part = $\frac{1}{2}$ except at powers of $2$?

2 votes
1 answer
107 views

Show that these ratios have numerators $\frac{1}{2} \vartheta(n) (-\exp (\Lambda (n)))$ and denominators $\exp (\Lambda (n))$ for $x=1$,

1 vote
0 answers
91 views

Show that $a(\gcd (n,k))$ is generated from roots of generating function of $\sum _{h=0}^{\infty } \left(\sum _{k=1}^n x^{h n+k} a(\gcd (n,k))\right)$

0 votes
1 answer
45 views

For what values of $c$ is $\sum _{k=1}^{\infty } (-1)^{k+1} x^{c \log (k)}=0$ when $x=\exp \left(-\frac{\rho _1}{c}\right)$?

0 votes
0 answers
79 views

Prove that this limit is $-2$, which is a trivial zero of the Riemann zeta function.

1 vote
0 answers
61 views

Relation between Diophantine equations involving multiple sums with the modulo function and greatest common divisor function.

0 votes
1 answer
75 views

Do $p_n$ minus the number of integer solutions to this equation equal $(-1)^{\frac{1}{24} \left((p_n){}^2-1\right)}$ for $n>4$?

1 vote
1 answer
97 views

Are the imaginary parts of these Riemann zeta related numbers equal?

0 votes
1 answer
71 views

Is the sequence $p_n-n+1$ related to the Goldbach conjecture via the Dirichlet inverse of of the Euler totient?

1 vote
0 answers
36 views

Connection between multiplication table $n * k$ and partial sums of the partial sums of the Dirichlet inverse of the Euler totient function.

1 vote
0 answers
45 views

Prime numbers as zeros of polynomials from the determinant of the form $P(x,N)=|\log(x) \gcd (n,k)-\phi (n)\log(\gcd (n,k))|$

1 vote
3 answers
775 views

Is there a closed form formula for the Bernoulli numbers?

12 votes
6 answers
8k views

What is the formula for the first Riemann zeta zero?

22 votes
6 answers
2k views

Do these series converge to logarithms?

2 votes
1 answer
255 views

What distribution do the rows of the Stirling numbers of the second kind approach?

4 votes
2 answers
612 views

Are there other power series for the Lambert W function than this one?

1 vote
0 answers
49 views

How do you solve an equation consisting of a logarithmically chopped subsets of the truncated geometric series, equal to zero?

10 votes
1 answer
966 views

Are the primes found as a subset in this sequence $a_n$?

1 vote
0 answers
52 views

Why are these numbers close to $-\log(2)+\text{integer}\,i\pi$?

5 votes
1 answer
85 views

Is $\left(n+\frac{1}{2}\right) H_n+(\gamma -1) n$ a better asymptotic to the partial sums of the number of divisors than $n (\log (n)+2 \gamma -1)$?

1 vote
0 answers
653 views

Does this ratio converge to the Golden Ratio?

1
2 3 4 5
7