List questions from number-theory

Published on 16 Apr 2026 - 6:52

485

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How to prove that $(\mathbb{Q},d_p)$ is not complete?

Published on 15 Apr 2026 - 13:14

124

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Let $p$ be prime. Prove if $p|(a^p - b^p)$, then $p^2 | (a^p - b^p)$

Published on 17 Apr 2026 - 11:41

59

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Combinations of divisors

Published on 10 Apr 2026 - 19:29

121

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The Stickelberger relation in Ireland&Rosen's Number Theory book

Published on 13 Apr 2026 - 19:06

274

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How $u | a,b,c,d$ and thus $u=1$?

Published on 12 Apr 2026 - 21:06

48

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Number theoretic calculation of probability problem involving partitions.

Published on 14 Apr 2026 - 6:12

183

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Prove that if $\gcd(m,n)=d$, then $\frac{n}{d}$ is the minimum $x$ such that $mx$ is divisible by $n$

Published on 15 Apr 2026 - 19:58

48

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Computing divisors on an elliptic surface from a Weierstrass equation

Published on 12 Apr 2026 - 5:50

69

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In $\mathbb{Q}_p$ a closed ball of radius $p^n$ is the disjoint union of closed balls of radius $p^{n-1}$

Published on 17 Apr 2026 - 3:21

215

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Proof for relation between p-adic valution of the total number of divisors and the sum of multiplicities

Published on 13 Apr 2026 - 14:39

64

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An interesting set of integer degrees

Published on 09 Apr 2026 - 8:34

91

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Is there an upper bound to the number of weight $2$ newforms for any level $N$?

Published on 16 Apr 2026 - 17:56

201

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The intersection of set of multiples of a G/E integer and the set of integer

Published on 03 May 2026 - 13:01

76

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Infinitely Many Non-Sierpinski Numbers?

Published on 13 Apr 2026 - 16:52

List Question

Only $1$ and $4900$ are squares as $1+4+9+\ldots+ n^2$

How to prove that $(\mathbb{Q},d_p)$ is not complete?

Let $p$ be prime. Prove if $p|(a^p - b^p)$, then $p^2 | (a^p - b^p)$

Combinations of divisors

The Stickelberger relation in Ireland&Rosen's Number Theory book

How $u | a,b,c,d$ and thus $u=1$?

Number theoretic calculation of probability problem involving partitions.

Prove that if $\gcd(m,n)=d$, then $\frac{n}{d}$ is the minimum $x$ such that $mx$ is divisible by $n$

Computing divisors on an elliptic surface from a Weierstrass equation

In $\mathbb{Q}_p$ a closed ball of radius $p^n$ is the disjoint union of closed balls of radius $p^{n-1}$

Proof for relation between p-adic valution of the total number of divisors and the sum of multiplicities

An interesting set of integer degrees

Is there an upper bound to the number of weight $2$ newforms for any level $N$?

The intersection of set of multiples of a G/E integer and the set of integer

Infinitely Many Non-Sierpinski Numbers?

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