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 18 · Answer 1 · 2026-03-23 04:10:20

18

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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 23 Mar 2026 - 4:10

score 536 · Answer 2 · 2026-03-25 06:08:31

536

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Proof clarification: Catalan numbers and lattice paths

Published on 25 Mar 2026 - 6:08

score 35 · Answer 3 · 2018-12-29 01:40:03

35

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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 29 Dec 2018 - 1:40

score 252 · Answer 4 · 2019-01-21 21:51:09

252

Views

Range of one-dimensional lattice paths of a given length

Published on 21 Jan 2019 - 21:51

score 228 · Answer 5 · 2019-01-31 19:02:26

228

Views

Counting Lattice Points

Published on 31 Jan 2019 - 19:02

score 48 · Answer 6 · 2019-01-31 21:09:08

48

Views

Divisibility of kissing numbers

Published on 31 Jan 2019 - 21:09

score 108 · Answer 7 · 2019-02-04 20:06:27

108

Views

Symmetric integer matrix and odd entry in the diagonal.

Published on 04 Feb 2019 - 20:06

score 32 · Answer 8 · 2019-02-11 13:19:21

32

Views

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

Published on 11 Feb 2019 - 13:19

score 89 · Answer 9 · 2019-02-14 16:38:18

89

Views

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

Published on 14 Feb 2019 - 16:38

score 200 · Answer 10 · 2019-02-20 01:25:17

200

Views

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

Published on 20 Feb 2019 - 1:25

score 340 · Answer 11 · 2019-03-01 18:01:11

340

Views

Number of integer lattice points between two rational points

Published on 01 Mar 2019 - 18:01

score 346 · Answer 12 · 2019-03-12 09:15:15

346

Views

Integer points in parallelepiped

Published on 12 Mar 2019 - 9:15

score 476 · Answer 13 · 2019-03-13 16:20:30

476

Views

Lattice points below a curve

Published on 13 Mar 2019 - 16:20

score 425 · Answer 14 · 2019-03-30 08:23:04

425

Views

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

Published on 30 Mar 2019 - 8:23

score 458 · Answer 15 · 2019-04-02 09:27:24

458

Views

On the number of cosets of a sublattice in a lattice

Published on 02 Apr 2019 - 9:27

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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