User Shimrod

15

38

votes

3

answers

4k

views

Is the Riemann zeta function surjective?

cv.complex-variables analytic-number-theory riemann-zeta-function

Oct 14 at 20:59 asahay 478

9

28

votes

1

answer

1k

views

Intuitive reason why the $j$-invariant is a cube?

nt.number-theory analytic-number-theory arithmetic-geometry algebraic-number-theory modular-forms

Jun 30 at 15:52 Matthieu Romagny 3,267

1

10

votes

1

answer

686

views

Why are the coefficients of the modular equation so large?

nt.number-theory analytic-number-theory modular-forms

Jul 26 '18 at 12:13 Carlo Beenakker 121k

3

10

votes

2

answers

415

views

Effective bound on the expansion of the $j$-invariant

nt.number-theory analytic-number-theory modular-forms j-invariant

Jun 14 '18 at 22:35 GH from MO 76.1k

1

8

votes

2

answers

693

views

Serre's formula for $\Delta^{1/3}$

nt.number-theory elliptic-curves modular-forms

May 13 '19 at 2:27 David E Speyer 128k

1

8

votes

1

answer

515

views

Gauss - Dirichlet class number formula

nt.number-theory analytic-number-theory algebraic-number-theory

Oct 26 '18 at 13:12 Zhi-Wei Sun 10.5k

3

7

votes

1

answer

418

views

What is the Galois group of the modular equation?

nt.number-theory algebraic-number-theory modular-forms

Sep 8 '19 at 18:09 reuns 2,414

2

7

votes

1

answer

325

views

Origin of $j$-invariant

nt.number-theory ho.history-overview elliptic-curves modular-forms

Apr 26 '19 at 18:31 Carlo Beenakker 121k

1

7

votes

1

answer

257

views

Why does the class equation have rational coefficients?

nt.number-theory algebraic-number-theory modular-forms

Apr 25 '18 at 1:57 GH from MO 76.1k

1

6

votes

1

answer

610

views

Galois theory of modular functions

nt.number-theory modular-forms

Apr 12 '19 at 18:03 Shimrod 2,013

5

votes

1

answer

131

views

Modular forms and number of representations by binary quadratic forms

nt.number-theory modular-forms quadratic-forms

Feb 16 at 0:59 Will Jagy 23.7k

2

5

votes

2

answers

329

views

Modular parametrization of a curve of Heegner and Weber

nt.number-theory elliptic-curves modular-forms

Jul 6 at 7:51 Paramanand Singh 1,744

5

votes

1

answer

807

views

Origin of Hecke operators

nt.number-theory reference-request modular-forms hecke-operators

Jun 2 '19 at 23:50 GH from MO 76.1k

5

votes

1

answer

313

views

Cube root of the $j$-invariant

nt.number-theory modular-forms

May 28 '19 at 15:52 YCor 42.6k

5

votes

0

answers

171

views

Modular functions of the type $\mathfrak f(\cdot)^{k}\mathfrak f(\cdot)^{23nk}$

nt.number-theory algebraic-number-theory modular-forms modular-group

Mar 19 '18 at 10:47 Shimrod 2,013

1

4

votes

1

answer

213

views

Can each ideal class contain an ideal with norm equal to $1$?

nt.number-theory algebraic-number-theory

Mar 30 '20 at 18:04 Ari Shnidman 2,241

4

votes

1

answer

440

views

How does this calculation of Siegel make sense?

nt.number-theory analytic-number-theory algebraic-number-theory

Mar 28 '20 at 17:20 Franz Lemmermeyer 29.2k

1

4

votes

1

answer

143

views

Examples of models for modular curves

nt.number-theory modular-forms

Sep 10 '19 at 1:30 Jeremy Rouse 15.1k

4

votes

0

answers

166

views

Kronecker limit formula, modular curves, and the class number problem

nt.number-theory modular-forms l-functions

Jul 27 '19 at 8:38 Shimrod 2,013

4

votes

0

answers

173

views

Geometric interpretation of the rationality of the $j$-invariant

nt.number-theory elliptic-curves modular-forms

Feb 27 '19 at 20:36 Shimrod 2,013

2

4

votes

0

answers

196

views

Class fields without class field theory

nt.number-theory analytic-number-theory algebraic-number-theory class-field-theory

Oct 27 '18 at 21:40 Shimrod 2,013

3

votes

1

answer

292

views

Siegel's bad character

nt.number-theory analytic-number-theory algebraic-number-theory modular-forms

Apr 3 '20 at 8:31 Franz Lemmermeyer 29.2k

3

votes

1

answer

114

views

$L$-series and the $\zeta$-function of ideal classes modulo $f$

nt.number-theory analytic-number-theory algebraic-number-theory

Aug 8 '19 at 13:17 GH from MO 76.1k

3

votes

1

answer

111

views

Quadratic orders embedded in matrices

nt.number-theory complex-multiplication

May 29 '19 at 0:26 David E Speyer 128k

1

3

votes

0

answers

170

views

Abelianess of $K(j(E))$

nt.number-theory elliptic-curves class-field-theory

May 4 '19 at 14:04 Shimrod 2,013

3

votes

0

answers

239

views

Galois representation of an elliptic curve with CM

nt.number-theory elliptic-curves

Jan 29 '19 at 23:12 Shimrod 2,013

3

votes

0

answers

89

views

$L$-functions for quadratic orders and Siegel's solution of the class number problem

nt.number-theory reference-request analytic-number-theory

Nov 8 '18 at 19:39 Shimrod 2,013

3

votes

1

answer

205

views

How do modular functions of level $N>1$ transform under the full modular group?

nt.number-theory reference-request modular-forms modular-group j-invariant

Aug 17 '18 at 8:20 Shimrod 2,013

3

votes

1

answer

104

views

Representatives for the action on an unknown set of matrices by an unknown modular subgroup

nt.number-theory modular-forms modular-group

Aug 15 '18 at 11:01 Community♦ 1

1

3

votes

1

answer

300

views

The degree of the cube root of the $j$-invariant

nt.number-theory algebraic-number-theory modular-forms modular-group j-invariant

May 6 '18 at 11:57 Luca Ghidelli 1,364

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48 Questions

Is the Riemann zeta function surjective?

Intuitive reason why the $j$-invariant is a cube?

Why are the coefficients of the modular equation so large?

Effective bound on the expansion of the $j$-invariant

Serre's formula for $\Delta^{1/3}$

Gauss - Dirichlet class number formula

What is the Galois group of the modular equation?

Origin of $j$-invariant

Why does the class equation have rational coefficients?

Galois theory of modular functions

Modular forms and number of representations by binary quadratic forms

Modular parametrization of a curve of Heegner and Weber

Origin of Hecke operators

Cube root of the $j$-invariant

Modular functions of the type $\mathfrak f(\cdot)^{k}\mathfrak f(\cdot)^{23nk}$

Can each ideal class contain an ideal with norm equal to $1$?

How does this calculation of Siegel make sense?

Examples of models for modular curves

Kronecker limit formula, modular curves, and the class number problem

Geometric interpretation of the rationality of the $j$-invariant

Class fields without class field theory

Siegel's bad character

$L$-series and the $\zeta$-function of ideal classes modulo $f$

Quadratic orders embedded in matrices

Abelianess of $K(j(E))$

Galois representation of an elliptic curve with CM

$L$-functions for quadratic orders and Siegel's solution of the class number problem

How do modular functions of level $N>1$ transform under the full modular group?

Representatives for the action on an unknown set of matrices by an unknown modular subgroup

The degree of the cube root of the $j$-invariant