User M.G.

67 votes

17 answers

12k views

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

asked May 24, 2010 at 19:39

60 votes

1 answer

6k views

What were the main ideas and gaps in Yoichi Miyaoka's attempted proof (1988) of Fermat's Last Theorem?

asked Aug 4, 2015 at 16:18

26 votes

3 answers

2k views

Universality of zeta- and L-functions

asked Jan 3, 2010 at 2:44

17 votes

13 answers

6k views

Probability in number theory

asked Jan 26, 2010 at 4:33

16 votes

6 answers

1k views

A Leibniz-like formula for $(f(x) \frac{d}{dx})^n f(x)$?

asked Feb 8, 2022 at 0:30

15 votes

1 answer

2k views

Dirichlet series expansion of an analytic function

asked Jul 7, 2010 at 23:13

10 votes

1 answer

884 views

Do commutative rings without unity have the IBN property?

asked Oct 17, 2018 at 18:45

10 votes

1 answer

698 views

Has the geometry of the variety of nilpotent matrices over $\mathbb{C}$ been studied?

asked Apr 6, 2019 at 17:49

8 votes

1 answer

490 views

Determinants (and traces) of linear maps of matrices

asked May 21, 2017 at 12:15

8 votes

4 answers

660 views

multi-index Dirichlet series

asked Nov 16, 2009 at 21:33

7 votes

3 answers

4k views

infinitely many linear equations in infinitely many variables

asked Aug 22, 2010 at 2:00

7 votes

1 answer

666 views

When are unions of isomorphic groups isomorphic?

asked Jan 26, 2011 at 13:39

7 votes

0 answers

296 views

A roadmap to learn about finite-dimensional commutative associative real or complex unital algebras

asked Sep 25, 2015 at 12:21

7 votes

2 answers

1k views

Is there a sensible notion of a winding number of a closed curve in $\mathbb{R}^n$, $n\geq 3$, with respect to a point not lying on it?

asked Apr 10, 2018 at 2:18

7 votes

1 answer

653 views

Which CAS can do basic non-commutative differential algebra?

asked Jun 20 at 14:02

6 votes

0 answers

169 views

Can a topological cat count the number of yarn windings around a ball?

asked Apr 10, 2018 at 16:03

6 votes

0 answers

167 views

Is there Cauchy-Goursat for $1$-cycles without invoking winding numbers?

asked Apr 7, 2018 at 22:55

6 votes

2 answers

369 views

Connectedness of units in finite-dimensional commutative complex algebras

asked Oct 28, 2015 at 18:04

6 votes

2 answers

261 views

Change rates of the 2nd Chebyshev function

asked Nov 17, 2009 at 1:07

5 votes

7 answers

4k views

Do the empty set AND the entire set really need to be open? [closed]

asked Mar 24, 2010 at 22:40

5 votes

1 answer

275 views

How to generate $n$ FP32 rationals s.t. no two distinct k-el. subsets have same sum?

asked Dec 10, 2014 at 17:36

5 votes

0 answers

208 views

Which groups can occur as the group of units of finite-dimensional noncommutative algebras?

asked Oct 7, 2017 at 14:24

5 votes

0 answers

479 views

Formal multidimensional Taylor series expansion over commutative rings

asked Dec 11, 2017 at 7:42

5 votes

0 answers

278 views

Have complex manifolds with dual number structure on the holomorphic tangent bundle been studied?

asked Oct 6, 2018 at 19:40

5 votes

0 answers

181 views

The precise relationship between (moduli space of) finite-dimensional commutative local $\kappa$-algebras and number theory?

asked Jun 8, 2023 at 23:11

4 votes

1 answer

287 views

The $1$-dimensional Jacobian Conjecture over $\mathbb{Z}$-torsion free rings

asked May 19, 2023 at 14:05

4 votes

1 answer

173 views

factorization of the product of a matrix element and its cofactor

asked Nov 22, 2009 at 22:00

3 votes

0 answers

245 views

$A[[T]]$ Noetherian $\Rightarrow A[T]$ Noetherian without Hilbert's Basis Theorem

asked Feb 11, 2017 at 13:50

3 votes

1 answer

263 views

Asymptotically multiplicative functions and matrices

asked Nov 22, 2009 at 4:52

3 votes

0 answers

122 views

Can one characterize power series that have polynomial inverses?

asked Oct 6, 2018 at 1:55

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53 Questions

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

What were the main ideas and gaps in Yoichi Miyaoka's attempted proof (1988) of Fermat's Last Theorem?

Universality of zeta- and L-functions

Probability in number theory

A Leibniz-like formula for $(f(x) \frac{d}{dx})^n f(x)$?

Dirichlet series expansion of an analytic function

Do commutative rings without unity have the IBN property?

Has the geometry of the variety of nilpotent matrices over $\mathbb{C}$ been studied?

Determinants (and traces) of linear maps of matrices

multi-index Dirichlet series

infinitely many linear equations in infinitely many variables

When are unions of isomorphic groups isomorphic?

A roadmap to learn about finite-dimensional commutative associative real or complex unital algebras

Is there a sensible notion of a winding number of a closed curve in $\mathbb{R}^n$, $n\geq 3$, with respect to a point not lying on it?

Which CAS can do basic non-commutative differential algebra?

Can a topological cat count the number of yarn windings around a ball?

Is there Cauchy-Goursat for $1$-cycles without invoking winding numbers?

Connectedness of units in finite-dimensional commutative complex algebras

Change rates of the 2nd Chebyshev function

Do the empty set AND the entire set really need to be open? [closed]

How to generate $n$ FP32 rationals s.t. no two distinct k-el. subsets have same sum?

Which groups can occur as the group of units of finite-dimensional noncommutative algebras?

Formal multidimensional Taylor series expansion over commutative rings

Have complex manifolds with dual number structure on the holomorphic tangent bundle been studied?

The precise relationship between (moduli space of) finite-dimensional commutative local $\kappa$-algebras and number theory?

The $1$-dimensional Jacobian Conjecture over $\mathbb{Z}$-torsion free rings

factorization of the product of a matrix element and its cofactor

$A[[T]]$ Noetherian $\Rightarrow A[T]$ Noetherian without Hilbert's Basis Theorem

Asymptotically multiplicative functions and matrices

Can one characterize power series that have polynomial inverses?