Question

On the equation $\sigma(m)=105k$ over odd integers $m\geq 1$, and the deficiency of its solutions

score 78 · Answer 1 · 2026-03-25 04:42:37

78

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On the equation $\sigma(m)=105k$ over odd integers $m\geq 1$, and the deficiency of its solutions

Published on 25 Mar 2026 - 4:42

score 253 · Answer 2 · 2018-06-05 23:23:53

253

Views

It seems impossible to reduce $34 \cdot 1973 = 259^2 + 1^2$ to $1973 = a^2 + b^2$!

Published on 05 Jun 2018 - 23:23

score 58 · Answer 3 · 2026-03-25 11:06:43

58

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Counterexample: is there a solution of $\dot{x}(t)=-\nabla f(x)(t)$ with infinite length?

Published on 25 Mar 2026 - 11:06

score 93 · Answer 4 · 2026-03-25 21:48:11

93

Views

An $L^p$-bounded martingale that is not $L^{p+\epsilon}$-bounded

Published on 25 Mar 2026 - 21:48

score 60 · Answer 5 · 2026-03-17 06:04:23

60

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Counterexample to: If odd Taylor coefficients for g in a=0 equals 0, then g is an even function.

Published on 17 Mar 2026 - 6:04

score 333 · Answer 6 · 2026-03-25 09:27:21

333

Views

On the Normality of the Sum of Two Normal Operators

Published on 25 Mar 2026 - 9:27

score 111 · Answer 7 · 2018-06-09 06:45:49

111

Views

Munkres Analysis on Manifolds: Ex 1.3: Why does the example not contradict with the given theorem?

Published on 09 Jun 2018 - 6:45

score 51 · Answer 8 · 2018-06-09 09:01:57

51

Views

Which of the following is correct option?

Published on 09 Jun 2018 - 9:01

score 45 · Answer 9 · 2026-03-25 21:51:09

45

Views

Does $f$ periodic and continuous over $\Bbb R$ not imply that it is $L^p(0,T)\ \forall p\in[1,\infty]$ and the Fourier series converges a.e.?

Published on 25 Mar 2026 - 21:51

score 55 · Answer 10 · 2026-03-25 21:50:03

55

Views

Is there an example of a function that is $L^{p_2}$ but not $L^{p_1}$ and not $L^{p_3}$?

Published on 25 Mar 2026 - 21:50

score 63 · Answer 11 · 2018-06-09 20:20:25

63

Views

Find $ \ f:\mathbb Z \to \mathbb C$ such that $f(n)= -f(-n+m)$ for $m\in \mathbb Z \setminus 3\mathbb Z$ and $n\in \mathbb Z$.

Published on 09 Jun 2018 - 20:20

score 138 · Answer 12 · 2026-03-25 01:40:12

138

Views

(non)Functor examples

Published on 25 Mar 2026 - 1:40

score 275 · Answer 13 · 2026-03-25 03:06:58

275

Views

f is surjective ring homomorphism form (A,+, .) to (B, +, .)

Published on 25 Mar 2026 - 3:06

score 82 · Answer 14 · 2026-03-25 09:24:03

82

Views

Convergent sequence of complex numbers

Published on 25 Mar 2026 - 9:24

score 737 · Answer 15 · 2026-03-25 16:08:27

737

Views

Example of a homomorphism of $G$ onto $G$ that isn't $1-1$?

Published on 25 Mar 2026 - 16:08

List Question

On the equation $\sigma(m)=105k$ over odd integers $m\geq 1$, and the deficiency of its solutions

It seems impossible to reduce $34 \cdot 1973 = 259^2 + 1^2$ to $1973 = a^2 + b^2$!

Counterexample: is there a solution of $\dot{x}(t)=-\nabla f(x)(t)$ with infinite length?

An $L^p$-bounded martingale that is not $L^{p+\epsilon}$-bounded

Counterexample to: If odd Taylor coefficients for g in a=0 equals 0, then g is an even function.

On the Normality of the Sum of Two Normal Operators

Munkres Analysis on Manifolds: Ex 1.3: Why does the example not contradict with the given theorem?

Which of the following is correct option?

Does $f$ periodic and continuous over $\Bbb R$ not imply that it is $L^p(0,T)\ \forall p\in[1,\infty]$ and the Fourier series converges a.e.?

Is there an example of a function that is $L^{p_2}$ but not $L^{p_1}$ and not $L^{p_3}$?

Find $ \ f:\mathbb Z \to \mathbb C$ such that $f(n)= -f(-n+m)$ for $m\in \mathbb Z \setminus 3\mathbb Z$ and $n\in \mathbb Z$.

(non)Functor examples

f is surjective ring homomorphism form (A,+, .) to (B, +, .)

Convergent sequence of complex numbers

Example of a homomorphism of $G$ onto $G$ that isn't $1-1$?

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