Question

Does $(3+2\sqrt{-2})y^2=1+12\sqrt{-2}-4・17x^4$ have solution in $\Bbb{Q}_{17}$?

score 96 · Answer 1 · 2023-06-06 01:32:28

96

Views

Does $(3+2\sqrt{-2})y^2=1+12\sqrt{-2}-4・17x^4$ have solution in $\Bbb{Q}_{17}$?

Published on 06 Jun 2023 - 1:32

score 40 · Answer 2 · 2023-06-08 20:40:57

40

Views

Prove that the 5-adic valuation of $(10^{k+t}+10^t+1)^c-1$ is $t+v_5(c)$

Published on 08 Jun 2023 - 20:40

score 46 · Answer 3 · 2023-06-13 15:48:08

46

Views

Is it possible for an incompletely valued field to have a finite-degree extension which is complete?

Published on 13 Jun 2023 - 15:48

score 73 · Answer 4 · 2023-06-14 21:59:00

73

Views

valuations of $\mathbb{Q}(\sqrt[3]{2})$

Published on 14 Jun 2023 - 21:59

score 176 · Answer 5 · 2023-06-14 22:04:12

If $|\cdot|$ is a nontrivial nonarchimedean absolute value over $\mathbb{C}$, must $(\mathbb{C},|\cdot|)$ embed into $\mathbb{C}_p$ for some $p$?

score 80 · Answer 6 · 2026-03-26 08:02:36

80

Views

Is $v((f \circ g)(x)) \geq v(f(x))+v(g(x))$, where $v$ is p-adic valuation?

Published on 26 Mar 2026 - 8:02

score 54 · Answer 7 · 2023-06-25 21:27:45

54

Views

Complete non-Archimedean field with infinite residual field

Published on 25 Jun 2023 - 21:27

score 96 · Answer 8 · 2023-07-04 00:42:34

96

Views

Prove $v_p(a^2+b^2)$ is even for $a, b\in\mathbb{Z}_p$ and $p\equiv 3\pmod 4$.

Published on 04 Jul 2023 - 0:42

score 75 · Answer 9 · 2023-07-07 12:54:18

75

Views

Is every archimedean absolute value over $\mathbb{C}$ complete?

Published on 07 Jul 2023 - 12:54

score 35 · Answer 10 · 2023-07-16 12:52:34

35

Views

Characterization of Prüfer domains via valuation rings and modules

Published on 16 Jul 2023 - 12:52

score 31 · Answer 11 · 2023-07-18 09:18:43

31

Views

Does a pair of complex embeddings correspond to a single complex prime?

Published on 18 Jul 2023 - 9:18

score 52 · Answer 12 · 2026-03-25 22:10:19

52

Views

Question about Dedekind Domains and Valuations

Published on 25 Mar 2026 - 22:10

score 68 · Answer 13 · 2023-07-19 02:32:01

68

Views

Is there any relationship between domination of local rings and extension of ring homomorphisms to an algebraically closed field?

Published on 19 Jul 2023 - 2:32

score 31 · Answer 14 · 2023-07-27 22:46:13

31

Views

Completion of global field = extension of completed sub-field?

Published on 27 Jul 2023 - 22:46

score 127 · Answer 15 · 2026-03-26 09:40:06

127

Views

Is a field with archimedean absolute value with compact unit sphere complete?

Published on 26 Mar 2026 - 9:40

List Question

Does $(3+2\sqrt{-2})y^2=1+12\sqrt{-2}-4・17x^4$ have solution in $\Bbb{Q}_{17}$?

Prove that the 5-adic valuation of $(10^{k+t}+10^t+1)^c-1$ is $t+v_5(c)$

Is it possible for an incompletely valued field to have a finite-degree extension which is complete?

valuations of $\mathbb{Q}(\sqrt[3]{2})$

If $|\cdot|$ is a nontrivial nonarchimedean absolute value over $\mathbb{C}$, must $(\mathbb{C},|\cdot|)$ embed into $\mathbb{C}_p$ for some $p$?

Is $v((f \circ g)(x)) \geq v(f(x))+v(g(x))$, where $v$ is p-adic valuation?

Complete non-Archimedean field with infinite residual field

Prove $v_p(a^2+b^2)$ is even for $a, b\in\mathbb{Z}_p$ and $p\equiv 3\pmod 4$.

Is every archimedean absolute value over $\mathbb{C}$ complete?

Characterization of Prüfer domains via valuation rings and modules

Does a pair of complex embeddings correspond to a single complex prime?

Question about Dedekind Domains and Valuations

Is there any relationship between domination of local rings and extension of ring homomorphisms to an algebraically closed field?

Completion of global field = extension of completed sub-field?

Is a field with archimedean absolute value with compact unit sphere complete?

Trending Questions

Popular # Hahtags

Popular Questions