Question

Functional equation of the $L$-function of a motive

score 200 · Answer 1 · 2026-04-11 20:39:47

200

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Functional equation of the $L$-function of a motive

Published on 11 Apr 2026 - 20:39

score 149 · Answer 2 · 2026-04-14 23:19:48

149

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Let $α=a+bi \in\mathbb{Z}[i]$ with $\gcd(a, b)=1$. Show that there exists $c\in\mathbb{Z}$ such that $c+i$ is a multiple of $α$ in $\mathbb{Z}[i]$.

Published on 14 Apr 2026 - 23:19

score 56 · Answer 3 · 2026-04-16 00:26:13

56

Views

Find all integers $a,b,c$ such that $0 \le a,b,c \le 1000$ and $1001|a^3+b^3+c^3-3abc-1$

Published on 16 Apr 2026 - 0:26

score 133 · Answer 4 · 2026-04-16 02:40:01

133

Views

The relation of $O$- and $\Omega$-symbols and an unexpected absolute sign in the definiton of $O$.

Published on 16 Apr 2026 - 2:40

score 63 · Answer 5 · 2026-04-11 17:36:42

63

Views

Estimation of a sum involving Dirichlet character

Published on 11 Apr 2026 - 17:36

score 135 · Answer 6 · 2026-04-13 11:02:54

135

Views

Defining the $p$-adic metric on $\mathbb{Z}$

Published on 13 Apr 2026 - 11:02

score 118 · Answer 7 · 2026-04-15 12:41:59

118

Views

Known proof of conjecture?

Published on 15 Apr 2026 - 12:41

score 663 · Answer 8 · 2026-04-07 02:17:04

663

Views

Eisenstein series twisted by a Dirichlet character

Published on 07 Apr 2026 - 2:17

score 78 · Answer 9 · 2026-04-14 16:02:15

78

Views

how to prove that $2^n = (n+1)(n+2)(n+3)$ has no solution when $n>0$?

Published on 14 Apr 2026 - 16:02

score 973 · Answer 10 · 2026-04-15 06:14:34

973

Views

Will Fermat's last theorem hold true on the Complex Plane?

Published on 15 Apr 2026 - 6:14

score 98 · Answer 11 · 2026-04-16 14:42:52

98

Views

Is this estimate $p_{n+1}^2 < p_1 \cdot p_2 \cdot ... p_n$ true for prime numbers?

Published on 16 Apr 2026 - 14:42

score 556 · Answer 12 · 2026-04-13 23:11:44

556

Views

infinitude of primes that are $11 \bmod 12$

Published on 13 Apr 2026 - 23:11

score 184 · Answer 13 · 2026-04-14 14:26:42

184

Views

An $n×n$ matrix $A$ is formed with each element $(a_{ij})$ randomly selected

Published on 14 Apr 2026 - 14:26

score 3.2k · Answer 14 · 2026-04-13 17:06:52

3.2k

Views

A Simple Calculus view on Fermat's Last Theorem

Published on 13 Apr 2026 - 17:06

score 319 · Answer 15 · 2026-04-11 23:49:14

319

Views

Why does the determinant come in for Artin L-Functions?

Published on 11 Apr 2026 - 23:49

List Question

Functional equation of the $L$-function of a motive

Let $α=a+bi \in\mathbb{Z}[i]$ with $\gcd(a, b)=1$. Show that there exists $c\in\mathbb{Z}$ such that $c+i$ is a multiple of $α$ in $\mathbb{Z}[i]$.

Find all integers $a,b,c$ such that $0 \le a,b,c \le 1000$ and $1001|a^3+b^3+c^3-3abc-1$

The relation of $O$- and $\Omega$-symbols and an unexpected absolute sign in the definiton of $O$.

Estimation of a sum involving Dirichlet character

Defining the $p$-adic metric on $\mathbb{Z}$

Known proof of conjecture?

Eisenstein series twisted by a Dirichlet character

how to prove that $2^n = (n+1)(n+2)(n+3)$ has no solution when $n>0$?

Will Fermat's last theorem hold true on the Complex Plane?

Is this estimate $p_{n+1}^2 < p_1 \cdot p_2 \cdot ... p_n$ true for prime numbers?

infinitude of primes that are $11 \bmod 12$

An $n×n$ matrix $A$ is formed with each element $(a_{ij})$ randomly selected

A Simple Calculus view on Fermat's Last Theorem

Why does the determinant come in for Artin L-Functions?

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