User MathManiac

12 votes

1 answer

313 views

Is every square matrix a sum of a diagonal matrix and a nilpotent matrix

linear-algebra matrices

asked Oct 8, 2021 at 0:52

7 votes

1 answer

483 views

Eigenvalues of Hecke operators are algebraic integers

modular-forms

asked Nov 20, 2016 at 12:57

6 votes

1 answer

505 views

Topology on the set of ordinal numbers

general-topology ordinals order-topology

asked Mar 20, 2016 at 20:45

6 votes

2 answers

968 views

Condition for equality of mixed derivatives

multivariable-calculus

asked Aug 19, 2015 at 13:21

6 votes

1 answer

632 views

Isomorphism between quotient rings over finite fields

abstract-algebra polynomials ring-theory finite-fields

asked Apr 26, 2017 at 5:52

6 votes

2 answers

402 views

Can the product of 4 distinct numbers be equal to a fourth power?

combinatorics number-theory pigeonhole-principle

asked May 25, 2017 at 20:23

5 votes

1 answer

3k views

Lower limit topology is normal

general-topology

asked Mar 9, 2016 at 11:44

4 votes

1 answer

178 views

Binomial coefficients identity [duplicate]

combinatorics binomial-coefficients

asked Sep 4, 2015 at 9:24

4 votes

2 answers

201 views

Number theory divisibility problem

number-theory

asked Jun 23, 2015 at 8:50

4 votes

0 answers

402 views

Software for computing generators of the invariant rings of the symmetric groups

computer-algebra-systems computational-algebra sagemath

asked May 16, 2016 at 9:26

3 votes

1 answer

2k views

Transitive subgroup of symmetric group $S_n$ containing an $(n-1)$-cycle and a transposition

group-theory finite-groups

asked Jun 23, 2015 at 9:20

3 votes

1 answer

445 views

Density of sin(k) where k is an integer [duplicate]

real-analysis general-topology

asked Jun 29, 2015 at 10:50

3 votes

1 answer

980 views

Galois group for the algebraic closure of a finite field

abstract-algebra field-theory galois-theory finite-fields

asked Jun 16, 2015 at 10:36

3 votes

1 answer

919 views

Bound on derivative of a holomorphic function

complex-analysis

asked Sep 27, 2015 at 7:05

3 votes

1 answer

66 views

Bounds on dimensions of fixed subspaces of a representation, implies that there exists a non-zero fixed element.

abstract-algebra representation-theory

asked Mar 28, 2018 at 21:06

2 votes

0 answers

44 views

Matrix similar to a permutation matrix over $Z$

matrices permutations

asked Oct 28, 2018 at 23:09

2 votes

0 answers

40 views

Closed form expression for Taylor-like series in 2 variables in positive characteristic

abstract-algebra power-series positive-characteristic

asked Jan 15, 2020 at 3:19

2 votes

4 answers

710 views

Boundary of a bounded open set in $\mathbb{R}^2$

real-analysis general-topology

asked Sep 3, 2015 at 5:19

2 votes

1 answer

480 views

Cyclic extension without primitive root of unity

abstract-algebra field-theory galois-theory extension-field

asked Jun 18, 2015 at 9:13

2 votes

1 answer

4k views

Ring of integers of a cyclotomic number field

abstract-algebra field-theory galois-theory

asked Jun 19, 2015 at 15:40

2 votes

1 answer

187 views

Legendre symbol series

number-theory

asked Jun 11, 2015 at 13:05

2 votes

4 answers

1k views

Evaluation of the improper integral $\int_{0}^{\infty}\frac{\cos6t-\cos4t}{t}\text{d}t$

calculus integration improper-integrals

asked Jun 12, 2015 at 14:56

2 votes

1 answer

301 views

Sums involving binomial coefficients in a finite field

binomial-coefficients finite-fields

asked Jun 3, 2016 at 4:19

2 votes

2 answers

373 views

Character of an $\mathbb{R}G$-module constructed from a $\mathbb{CG}$-module

representation-theory characters

asked May 3, 2016 at 6:02

2 votes

0 answers

309 views

Stein and Shakarchi Fourier Analysis Chapter 4 Exercise 20

definite-integrals fourier-analysis fourier-series

asked Sep 5, 2016 at 18:03

1 vote

1 answer

64 views

Calculation of coefficient of a monomial in a polynomials

binomial-theorem

asked Sep 13, 2016 at 22:04

1 vote

2 answers

122 views

Non identity character of an Abelian group

group-theory abelian-groups characters

asked Jan 31, 2017 at 20:15

1 vote

1 answer

485 views

Inverse of the $\Delta$ function has integer Fourier coefficients

modular-forms

asked Feb 5, 2017 at 20:35

1 vote

2 answers

225 views

Isomorphism between quotient rings

abstract-algebra ring-theory

asked Apr 24, 2017 at 14:49

1 vote

0 answers

319 views

Number of generators of an ideal of the polynomial ring over a field

abstract-algebra ring-theory ideals maximal-and-prime-ideals

asked Aug 25, 2016 at 5:39

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51 Questions

Is every square matrix a sum of a diagonal matrix and a nilpotent matrix

Eigenvalues of Hecke operators are algebraic integers

Topology on the set of ordinal numbers

Condition for equality of mixed derivatives

Isomorphism between quotient rings over finite fields

Can the product of 4 distinct numbers be equal to a fourth power?

Lower limit topology is normal

Binomial coefficients identity [duplicate]

Number theory divisibility problem

Software for computing generators of the invariant rings of the symmetric groups

Transitive subgroup of symmetric group $S_n$ containing an $(n-1)$-cycle and a transposition

Density of sin(k) where k is an integer [duplicate]

Galois group for the algebraic closure of a finite field

Bound on derivative of a holomorphic function

Bounds on dimensions of fixed subspaces of a representation, implies that there exists a non-zero fixed element.

Matrix similar to a permutation matrix over $Z$

Closed form expression for Taylor-like series in 2 variables in positive characteristic

Boundary of a bounded open set in $\mathbb{R}^2$

Cyclic extension without primitive root of unity

Ring of integers of a cyclotomic number field

Legendre symbol series

Evaluation of the improper integral $\int_{0}^{\infty}\frac{\cos6t-\cos4t}{t}\text{d}t$

Sums involving binomial coefficients in a finite field

Character of an $\mathbb{R}G$-module constructed from a $\mathbb{CG}$-module

Stein and Shakarchi Fourier Analysis Chapter 4 Exercise 20

Calculation of coefficient of a monomial in a polynomials

Non identity character of an Abelian group

Inverse of the $\Delta$ function has integer Fourier coefficients

Isomorphism between quotient rings

Number of generators of an ideal of the polynomial ring over a field