User paul Monsky

19 votes

0 answers

1k views

Does this variant of a theorem of Hasse (really due to Gauss) have an "elementary" proof?

asked Sep 3, 2012 at 19:27

17 votes

2 answers

1k views

Higher level analogs of Nicolas-Serre theory

asked Jul 6, 2013 at 4:06

17 votes

1 answer

1k views

If p is a prime congruent to 9 mod 16, can 4 divide the class number of Q(p^(1/4))?

asked Jul 28, 2010 at 21:01

14 votes

1 answer

1k views

The "Level N modular equation for delta" in characteristics 3, 5, 7 and 13

asked Jan 6, 2014 at 23:26

13 votes

4 answers

1k views

Simple groups with the same cardinality as PSL_2(Z/p)

asked Apr 11, 2011 at 23:44

12 votes

3 answers

871 views

What does the computer suggest about the parity of p(n), for n in a fixed arithmetic progression?

asked Aug 26, 2010 at 20:24

12 votes

3 answers

679 views

A characteristic 2 polynomial recursion

asked Sep 30, 2015 at 1:33

11 votes

0 answers

567 views

What's known about the mod 2 reduction of the level l Jacobi modular equation?

asked Jan 21, 2011 at 18:08

10 votes

0 answers

318 views

The mod 3 reduction of some powers of delta

asked Sep 26, 2012 at 15:22

10 votes

0 answers

1k views

Dissecting trapezoids into triangles of equal area

asked May 29, 2010 at 3:16

9 votes

0 answers

547 views

Function fields of characteristic p modular curves, and mod p reductions of the classical modular equation

asked Oct 13, 2011 at 23:02

9 votes

0 answers

250 views

How explain these remarkable empirical observations about mod 3 modular forms of levels 1 and 5?

asked Sep 19, 2018 at 23:12

8 votes

3 answers

565 views

Variations on a theme of O'Bryant, Cooper and Eichhorn concerning power series over $\mathbb Z/2\mathbb Z$

asked Jul 4, 2010 at 11:06

7 votes

0 answers

200 views

sheaves on thickened nodal cubics

asked May 20, 2010 at 19:07

7 votes

2 answers

532 views

What are the polynomial relations between these characteristic 2 "thetas" ?

asked Oct 28, 2010 at 1:47

7 votes

0 answers

275 views

Level p characteristic 2 modular forms and thetas

asked Feb 11, 2013 at 17:17

7 votes

0 answers

95 views

Deciding when certain elements of $L[[x]]$, coming from recursions, are algebraic over $L(x)$

asked Mar 29, 2018 at 15:56

7 votes

0 answers

396 views

The Fricke involution and expansions at infinity

asked Mar 7, 2016 at 1:21

7 votes

1 answer

503 views

Mod 2 modular forms in levels 5 and 25--how to account for this Hecke isomorphism?

asked May 5, 2015 at 2:18

6 votes

1 answer

207 views

Recursions for some binary theta series in characteristic 3

asked Sep 22, 2014 at 22:04

6 votes

0 answers

326 views

Are these two subspaces of $\mathbb{Z}/2[[x]]$ the same?

asked Aug 4, 2013 at 1:35

6 votes

0 answers

104 views

A question about the span of a sequence of polynomials satisfying a linear recurrence

asked Apr 28, 2019 at 23:30

5 votes

2 answers

211 views

Mod 2 eigensystems not defined over Z/2--looking for simple examples

asked Jul 8, 2017 at 1:56

5 votes

1 answer

274 views

Are there infinitely many primes N congruent to 1 mod 8 with h(-N) and h(-2N) both powers of 2?

asked Jul 19, 2017 at 15:07

5 votes

0 answers

374 views

Are these empirical discoveries about the Serre Swinnerton-Dyer ring of prime level modular power series actual theorems?

asked Mar 11, 2013 at 16:39

5 votes

0 answers

319 views

Questions (related to deformation theory?) about modular ideals in mod ell Hecke algebras

asked Jul 20, 2013 at 16:13

5 votes

2 answers

550 views

Existence of certain identities involving characteristic 2 "thetas"

asked Jun 19, 2011 at 23:11

5 votes

1 answer

437 views

Density stability; questions for those who like computer calculation

asked Sep 22, 2010 at 16:17

4 votes

0 answers

133 views

A subring of the Serre Swinnerton -Dyer ring of level N modular power series

asked Apr 17, 2013 at 2:05

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38 Questions

Does this variant of a theorem of Hasse (really due to Gauss) have an "elementary" proof?

Higher level analogs of Nicolas-Serre theory

If p is a prime congruent to 9 mod 16, can 4 divide the class number of Q(p^(1/4))?

The "Level N modular equation for delta" in characteristics 3, 5, 7 and 13

Simple groups with the same cardinality as PSL_2(Z/p)

What does the computer suggest about the parity of p(n), for n in a fixed arithmetic progression?

A characteristic 2 polynomial recursion

What's known about the mod 2 reduction of the level l Jacobi modular equation?

The mod 3 reduction of some powers of delta

Dissecting trapezoids into triangles of equal area

Function fields of characteristic p modular curves, and mod p reductions of the classical modular equation

How explain these remarkable empirical observations about mod 3 modular forms of levels 1 and 5?

Variations on a theme of O'Bryant, Cooper and Eichhorn concerning power series over $\mathbb Z/2\mathbb Z$

sheaves on thickened nodal cubics

What are the polynomial relations between these characteristic 2 "thetas" ?

Level p characteristic 2 modular forms and thetas

Deciding when certain elements of $L[[x]]$, coming from recursions, are algebraic over $L(x)$

The Fricke involution and expansions at infinity

Mod 2 modular forms in levels 5 and 25--how to account for this Hecke isomorphism?

Recursions for some binary theta series in characteristic 3

Are these two subspaces of $\mathbb{Z}/2[[x]]$ the same?

A question about the span of a sequence of polynomials satisfying a linear recurrence

Mod 2 eigensystems not defined over Z/2--looking for simple examples

Are there infinitely many primes N congruent to 1 mod 8 with h(-N) and h(-2N) both powers of 2?

Are these empirical discoveries about the Serre Swinnerton-Dyer ring of prime level modular power series actual theorems?

Questions (related to deformation theory?) about modular ideals in mod ell Hecke algebras

Existence of certain identities involving characteristic 2 "thetas"

More questions involving characteristic 2 theta series identities

Density stability; questions for those who like computer calculation

A subring of the Serre Swinnerton -Dyer ring of level N modular power series