Question

How to estimate the numbers of the integer points of $\frac{(m-1)(m-2)}{2}+k\leq N$, $a\leq\frac{k}{m}\leq b$

score 20 · Answer 1 · 2026-04-07 09:26:03

20

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How to estimate the numbers of the integer points of $\frac{(m-1)(m-2)}{2}+k\leq N$, $a\leq\frac{k}{m}\leq b$

Published on 07 Apr 2026 - 9:26

score 539 · Answer 2 · 2026-05-10 19:04:58

539

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Proof clarification: Catalan numbers and lattice paths

Published on 10 May 2026 - 19:04

score 38 · Answer 3 · 2026-04-13 17:48:58

38

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show that $f(x)=a^2 + b^2 + c^2 + d^2$ is smooth on $\text{SL}_2(\mathbb{Z})\backslash \text{SL}_2(\mathbb{R})$

Published on 13 Apr 2026 - 17:48

score 255 · Answer 4 · 2026-04-10 23:05:40

255

Views

Range of one-dimensional lattice paths of a given length

Published on 10 Apr 2026 - 23:05

score 232 · Answer 5 · 2026-04-10 07:06:53

232

Views

Counting Lattice Points

Published on 10 Apr 2026 - 7:06

score 54 · Answer 6 · 2026-04-17 07:43:19

54

Views

Divisibility of kissing numbers

Published on 17 Apr 2026 - 7:43

score 111 · Answer 7 · 2026-04-14 07:38:53

111

Views

Symmetric integer matrix and odd entry in the diagonal.

Published on 14 Apr 2026 - 7:38

score 35 · Answer 8 · 2026-04-16 02:33:20

35

Views

Any vector shorter than $\lambda_1^*$ must belong to a sublattice.

Published on 16 Apr 2026 - 2:33

score 92 · Answer 9 · 2026-04-14 22:15:29

92

Views

Relation between norm of a vector and sublattice to which it belongs.

Published on 14 Apr 2026 - 22:15

score 203 · Answer 10 · 2026-04-11 17:51:33

203

Views

Can a regular $n$-simplex have vertices in $\mathbb Z^n$ for $n > 1$?

Published on 11 Apr 2026 - 17:51

score 343 · Answer 11 · 2026-04-12 08:18:02

343

Views

Number of integer lattice points between two rational points

Published on 12 Apr 2026 - 8:18

score 349 · Answer 12 · 2026-04-13 00:24:34

349

Views

Integer points in parallelepiped

Published on 13 Apr 2026 - 0:24

score 479 · Answer 13 · 2026-04-16 05:51:49

479

Views

Lattice points below a curve

Published on 16 Apr 2026 - 5:51

score 428 · Answer 14 · 2026-04-10 18:23:12

428

Views

Are the only Riemann surfaces which are quotients of $\mathbb{C}$the cylinder and the toruses? Why?

Published on 10 Apr 2026 - 18:23

score 461 · Answer 15 · 2026-04-16 00:17:24

461

Views

On the number of cosets of a sublattice in a lattice

Published on 16 Apr 2026 - 0:17

List Question

How to estimate the numbers of the integer points of $\frac{(m-1)(m-2)}{2}+k\leq N$, $a\leq\frac{k}{m}\leq b$

Proof clarification: Catalan numbers and lattice paths

show that $f(x)=a^2 + b^2 + c^2 + d^2$ is smooth on $\text{SL}_2(\mathbb{Z})\backslash \text{SL}_2(\mathbb{R})$

Range of one-dimensional lattice paths of a given length

Counting Lattice Points

Divisibility of kissing numbers

Symmetric integer matrix and odd entry in the diagonal.

Any vector shorter than $\lambda_1^*$ must belong to a sublattice.

Relation between norm of a vector and sublattice to which it belongs.

Can a regular $n$-simplex have vertices in $\mathbb Z^n$ for $n > 1$?

Number of integer lattice points between two rational points

Integer points in parallelepiped

Lattice points below a curve

Are the only Riemann surfaces which are quotients of $\mathbb{C}$the cylinder and the toruses? Why?

On the number of cosets of a sublattice in a lattice

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