Question

What is the limit $a^{-(1+p+p^2+....+p^n)}$ in p-adic integers?

score 62 · Answer 1 · 2023-07-12 09:41:57

62

Views

What is the limit $a^{-(1+p+p^2+....+p^n)}$ in p-adic integers?

Published on 12 Jul 2023 - 9:41

score 44 · Answer 2 · 2026-03-27 19:53:39

44

Views

Does every aperiodic 2-adic number whose corresponding real is algebraic, have a representation as a periodic p-adic for some other p?

Published on 27 Mar 2026 - 19:53

score 127 · Answer 3 · 2023-07-13 14:07:09

127

Views

are p-adic values infinite if using a limit?

Published on 13 Jul 2023 - 14:07

score 38 · Answer 4 · 2023-07-14 16:48:04

38

Views

Difference Hensels Lemma and Newton Puiseux algorithm on p-adic numbers

Published on 14 Jul 2023 - 16:48

score 46 · Answer 5 · 2026-03-25 07:42:42

46

Views

Possible norms of elements in $\mathbb{C}_{p}$

Published on 25 Mar 2026 - 7:42

score 552 · Answer 6 · 2026-03-25 20:52:50

552

Views

Subgroups of the $p$-adics that miss $\mathbb{Z}$

Published on 25 Mar 2026 - 20:52

score 307 · Answer 7 · 2026-03-26 06:18:48

307

Views

Weird duality between integers and p-adic integers

Published on 26 Mar 2026 - 6:18

score 232 · Answer 8 · 2023-07-23 15:02:54

232

Views

Simple 2-adic integers representation for non-experts, where the examples?

Published on 23 Jul 2023 - 15:02

score 29 · Answer 9 · 2026-03-25 16:13:46

29

Views

How to understand $x^{-1}$ acts on the mahler transform over $\mathbb{Z}_p$

Published on 25 Mar 2026 - 16:13

score 230 · Answer 10 · 2026-03-26 20:44:05

230

Views

Inverse limit of the group $\mathbb{Q}_p$ of $p$-adic numbers

Published on 26 Mar 2026 - 20:44

score 54 · Answer 11 · 2026-03-25 07:46:20

54

Views

Do the $p$-adic numbers $K$ have the property that for $f \in x + (x^2)(K[x])$ then $f : K \rightarrow K$ is injective on some neighborhood of $0$?

Published on 25 Mar 2026 - 7:46

score 41 · Answer 12 · 2023-08-05 01:06:22

41

Views

Min-norm solution of over-specified linear system of $p$-adic equations.

Published on 05 Aug 2023 - 1:06

score 85 · Answer 13 · 2026-03-27 03:46:12

85

Views

p-adic Norms and Character Values

Published on 27 Mar 2026 - 3:46

score 142 · Answer 14 · 2026-02-23 12:05:33

142

Views

Isogeny $SL_2(\mathbb{Q}_p)\times SL_2(\mathbb{Q}_p) \rightarrow SO_{2,2}(\mathbb{Q}_p)$

Published on 23 Feb 2026 - 12:05

score 84 · Answer 15 · 2026-03-26 20:25:52

84

Views

Morphisms to the constant adic space associated to a profinite set

Published on 26 Mar 2026 - 20:25

List Question

What is the limit $a^{-(1+p+p^2+....+p^n)}$ in p-adic integers?

Does every aperiodic 2-adic number whose corresponding real is algebraic, have a representation as a periodic p-adic for some other p?

are p-adic values infinite if using a limit?

Difference Hensels Lemma and Newton Puiseux algorithm on p-adic numbers

Possible norms of elements in $\mathbb{C}_{p}$

Subgroups of the $p$-adics that miss $\mathbb{Z}$

Weird duality between integers and p-adic integers

Simple 2-adic integers representation for non-experts, where the examples?

How to understand $x^{-1}$ acts on the mahler transform over $\mathbb{Z}_p$

Inverse limit of the group $\mathbb{Q}_p$ of $p$-adic numbers

Do the $p$-adic numbers $K$ have the property that for $f \in x + (x^2)(K[x])$ then $f : K \rightarrow K$ is injective on some neighborhood of $0$?

Min-norm solution of over-specified linear system of $p$-adic equations.

p-adic Norms and Character Values

Isogeny $SL_2(\mathbb{Q}_p)\times SL_2(\mathbb{Q}_p) \rightarrow SO_{2,2}(\mathbb{Q}_p)$

Morphisms to the constant adic space associated to a profinite set

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