User Vincent Granville

0 votes

0 answers

32 views

Distribution of time to return for symmetric random walks [duplicate]

asked Aug 6, 2022 at 2:21

2 votes

0 answers

47 views

About the ergodicity and stationarity (or lack of) of a particular type of stochastic process

asked Dec 16, 2021 at 21:14

3 votes

0 answers

89 views

Product, inverse, determinant, exponential of $n \times n \times n$ and $n \times n \times n \times n$ matrices

asked Nov 29, 2021 at 6:14

3 votes

1 answer

119 views

Asymptotic formula for $\sum_{k=0}^n f(k)g(n-k)$

asked Nov 19, 2021 at 22:07

1 vote

1 answer

90 views

Period or lack of, for a (probably new) pseudo-random number generator

asked Nov 16, 2021 at 22:20

2 votes

2 answers

126 views

Triangle inscribed in circle, maximizing $\sqrt{\mbox{Area}}/\mbox{Perimeter}$

asked Nov 2, 2021 at 18:59

1 vote

1 answer

69 views

Some $\liminf$ for functions with same roots as $\zeta(s)$, in the critical strip

asked Sep 22, 2021 at 17:25

0 votes

1 answer

152 views

Potential infinite, fast growing subsequence of twin primes

asked Sep 16, 2021 at 23:31

0 votes

1 answer

209 views

Full set of congruences uniquely defining all twin primes

asked Jul 19, 2021 at 14:14

13 votes

0 answers

235 views

Asymptotic behavior of recurrence $x_{n+1}=\mbox{Stdev}(x_1,\dots,x_n)$

asked Jul 4, 2021 at 22:30

0 votes

1 answer

144 views

Probability question with application to number theory and cryptography

asked Oct 14, 2020 at 1:22

1 vote

1 answer

326 views

Complex numbers in 3 dimensions [duplicate]

asked Sep 13, 2020 at 20:13

0 votes

1 answer

129 views

Inequalities for generalized means

asked Aug 23, 2020 at 14:16

2 votes

1 answer

154 views

Bounded real-valued function on $[0,1]$, non integrable?

asked Aug 18, 2020 at 0:55

11 votes

1 answer

356 views

If an infinite set $S$ of positive integers is equidistributed, is $S+S$ also equidistributed?

asked Jul 16, 2020 at 1:00

2 votes

0 answers

112 views

Goldbach conjecture and other problems in additive combinatorics

asked Jun 13, 2020 at 17:26

8 votes

2 answers

727 views

Conjecture: All but 21 non-square integers are the sum of a square and a prime

asked Jun 7, 2020 at 18:51

2 votes

0 answers

161 views

On sums of two squares

asked Jun 5, 2020 at 20:13

17 votes

3 answers

951 views

Potentially new approach to factoring big numbers

asked May 11, 2020 at 8:34

2 votes

1 answer

50 views

Solution of $f(x) = \mu x f'(x) + \lambda x f''(x)$

asked Apr 19, 2020 at 14:34

1 vote

2 answers

75 views

General solution of $f(x) + xf'(x) + 2x^2f''(x)=0$

asked Apr 17, 2020 at 9:17

9 votes

2 answers

385 views

Question about $f(x)=\sum_{k=1}^\infty (-1)^{k+1}\sin (\frac{x}{k}) $

asked Apr 12, 2020 at 19:54

5 votes

2 answers

601 views

Limit associated with a recursion, connection to normality of quadratic irrationals

asked Feb 7, 2020 at 7:46

3 votes

1 answer

149 views

Convergence and limit for Collatz type of recurrence

asked Feb 1, 2020 at 8:32

3 votes

1 answer

388 views

Conjecture about the distribution of $0/1$ in the binary expansion of rational numbers

asked Jan 18, 2020 at 6:00

2 votes

0 answers

789 views

Proof that $\sqrt{2}$ is normal in base 2

asked Jan 15, 2020 at 0:00

3 votes

3 answers

174 views

Curious convergence domain for $x_n$ defined by $(a_1 n+ b_1) x_{n+2} = (a_2 n + b_2) x_{n+1} - (a_3 n + b_3) x_n$

asked Jan 1, 2020 at 17:38

20 votes

2 answers

575 views

Simple recurrences converging to $\log 2, \pi, e, \sqrt{2}$ and so on

asked Dec 29, 2019 at 19:12

9 votes

3 answers

410 views

On sums such as $\sum_{k=0}^\infty \binom{2k}{k}\frac{1}{8^k}=\sqrt{2}$

asked Dec 27, 2019 at 17:19

11 votes

1 answer

536 views

Towards a Little proof of Fermat's last theorem

asked Dec 26, 2019 at 18:07

Stack Exchange Network

88 Questions

Distribution of time to return for symmetric random walks [duplicate]

About the ergodicity and stationarity (or lack of) of a particular type of stochastic process

Product, inverse, determinant, exponential of $n \times n \times n$ and $n \times n \times n \times n$ matrices

Asymptotic formula for $\sum_{k=0}^n f(k)g(n-k)$

Period or lack of, for a (probably new) pseudo-random number generator

Triangle inscribed in circle, maximizing $\sqrt{\mbox{Area}}/\mbox{Perimeter}$

Some $\liminf$ for functions with same roots as $\zeta(s)$, in the critical strip

Potential infinite, fast growing subsequence of twin primes

Full set of congruences uniquely defining all twin primes

Asymptotic behavior of recurrence $x_{n+1}=\mbox{Stdev}(x_1,\dots,x_n)$

Probability question with application to number theory and cryptography

Complex numbers in 3 dimensions [duplicate]

Inequalities for generalized means

Bounded real-valued function on $[0,1]$, non integrable?

If an infinite set $S$ of positive integers is equidistributed, is $S+S$ also equidistributed?

Goldbach conjecture and other problems in additive combinatorics

Conjecture: All but 21 non-square integers are the sum of a square and a prime

On sums of two squares

Potentially new approach to factoring big numbers

Solution of $f(x) = \mu x f'(x) + \lambda x f''(x)$

General solution of $f(x) + xf'(x) + 2x^2f''(x)=0$

Question about $f(x)=\sum_{k=1}^\infty (-1)^{k+1}\sin (\frac{x}{k}) $

Limit associated with a recursion, connection to normality of quadratic irrationals

Convergence and limit for Collatz type of recurrence

Conjecture about the distribution of $0/1$ in the binary expansion of rational numbers

Proof that $\sqrt{2}$ is normal in base 2

Curious convergence domain for $x_n$ defined by $(a_1 n+ b_1) x_{n+2} = (a_2 n + b_2) x_{n+1} - (a_3 n + b_3) x_n$

Simple recurrences converging to $\log 2, \pi, e, \sqrt{2}$ and so on

On sums such as $\sum_{k=0}^\infty \binom{2k}{k}\frac{1}{8^k}=\sqrt{2}$

Towards a Little proof of Fermat's last theorem