Question

Ideal lying over an ideal shows up in prime decomposition

score 92 · Answer 1 · 2026-05-10 15:09:13

Ideal lying over an ideal shows up in prime decomposition

Published on 10 May 2026 - 15:09

score 49 · Answer 2 · 2026-04-16 06:27:34

Let $a \equiv 1 \pmod 4$ and p an odd prime. Show that the Legendre symbol $\left(\frac{a}{p}\right)$ only depends on $p \pmod a$

score 67 · Answer 3 · 2026-05-11 22:40:42

67

Views

G(k,X) is a modular form of weight k and character X

Published on 11 May 2026 - 22:40

score 313 · Answer 4 · 2026-04-11 12:06:44

313

Views

Liouville function

Published on 11 Apr 2026 - 12:06

score 853 · Answer 5 · 2026-04-16 08:08:11

853

Views

Multiplicative inverse of a polynomial in $GF(8)$

Published on 16 Apr 2026 - 8:08

score 35 · Answer 6 · 2026-04-17 07:38:47

35

Views

$\prod_{i=1}^{p-1} (i^2+1) \equiv 4 \pmod p$ if $p$ is a prime $\equiv3\pmod 4$

Published on 17 Apr 2026 - 7:38

score 61 · Answer 7 · 2026-04-14 01:12:49

61

Views

About binary quadratic forms

Published on 14 Apr 2026 - 1:12

score 35 · Answer 8 · 2026-04-18 14:26:47

35

Views

Find $\prod_{i=1}^{p-1} (i^{2st}+1) \pmod p$ where $s<t$ are primes congruent to $1$ modulo $4$

Published on 18 Apr 2026 - 14:26

score 122 · Answer 9 · 2026-04-14 03:39:56

122

Views

Primes of the form $((2^k-1)10^m+2^{(k-1)}+10)/42$, where m is the number of decimal digits of $2^{k-1}-1$

Published on 14 Apr 2026 - 3:39

score 131 · Answer 10 · 2026-05-14 22:07:33

131

Views

Show that the natural density is $1/2$.

Published on 14 May 2026 - 22:07

score 669 · Answer 11 · 2026-05-10 17:17:55

669

Views

Sum of Legendre symbol $\left(\frac{n^2-a}{p}\right)$ (More explanation)

Published on 10 May 2026 - 17:17

score 382 · Answer 12 · 2026-04-14 20:02:56

382

Views

Minimum value of unknown exponents for a perfect cube

Published on 14 Apr 2026 - 20:02

score 74 · Answer 13 · 2026-04-13 14:51:39

74

Views

What are binary numbers that are equal to their length?

Published on 13 Apr 2026 - 14:51

score 35 · Answer 14 · 2026-04-14 10:58:22

35

Views

Is the multiset of prime gaps in an admissible $ k $ -tuple of minimal diameter $ d $ determined by $ (k,d) $?

Published on 14 Apr 2026 - 10:58

score 587 · Answer 15 · 2026-04-15 10:37:23

587

Views

Does Fermat's Last Theorem imply the modularity theorem?

Published on 15 Apr 2026 - 10:37

List Question

Ideal lying over an ideal shows up in prime decomposition

Let $a \equiv 1 \pmod 4$ and p an odd prime. Show that the Legendre symbol $\left(\frac{a}{p}\right)$ only depends on $p \pmod a$

G(k,X) is a modular form of weight k and character X

Liouville function

Multiplicative inverse of a polynomial in $GF(8)$

$\prod_{i=1}^{p-1} (i^2+1) \equiv 4 \pmod p$ if $p$ is a prime $\equiv3\pmod 4$

About binary quadratic forms

Find $\prod_{i=1}^{p-1} (i^{2st}+1) \pmod p$ where $s<t$ are primes congruent to $1$ modulo $4$

Primes of the form $((2^k-1)10^m+2^{(k-1)}+10)/42$, where m is the number of decimal digits of $2^{k-1}-1$

Show that the natural density is $1/2$.

Sum of Legendre symbol $\left(\frac{n^2-a}{p}\right)$ (More explanation)

Minimum value of unknown exponents for a perfect cube

What are binary numbers that are equal to their length?

Is the multiset of prime gaps in an admissible $ k $ -tuple of minimal diameter $ d $ determined by $ (k,d) $?

Does Fermat's Last Theorem imply the modularity theorem?

Trending Questions

Popular # Hahtags

Popular Questions