User AnabolicHorse

5 votes

1 answer

218 views

applying Chinese Remainder Theorem

abstract-algebra number-theory

asked Jun 2, 2019 at 10:29

5 votes

2 answers

100 views

Why is the map $\mathrm{SL}_2(\mathbb{R})/\mathrm{SO}(2) \rightarrow \mathbb{H} : A \mapsto Ai$ injective?

number-theory modular-forms

asked Jul 31, 2019 at 19:14

4 votes

1 answer

637 views

Norm of ideals in the ring of integers

abstract-algebra proof-explanation algebraic-number-theory

asked Jul 8, 2019 at 20:22

3 votes

2 answers

1k views

Calculating the discriminant

abstract-algebra algebraic-number-theory

asked Jul 5, 2019 at 14:43

3 votes

2 answers

116 views

Definition of modular forms

number-theory modular-forms

asked Oct 9, 2019 at 17:51

2 votes

0 answers

92 views

class number of $\mathbb{Q}(\sqrt{17})$ [duplicate]

number-theory algebraic-number-theory

asked Jul 22, 2019 at 21:02

2 votes

0 answers

54 views

How to split this sum into a double sum.

number-theory modular-forms

asked Dec 21, 2019 at 18:25

2 votes

1 answer

32 views

Why are the coefficients zero if $n$ contains a prime with prime power $1$ that is not split in $K$?

number-theory modular-forms

asked May 1, 2020 at 17:20

2 votes

1 answer

115 views

Is each prime ideal in a quadratic field of norm $p$ or $p^2$?

number-theory algebraic-number-theory

asked May 1, 2020 at 20:45

2 votes

2 answers

541 views

How to split the polynomial . [closed]

abstract-algebra number-theory

asked Jul 21, 2019 at 20:18

2 votes

1 answer

192 views

splitting primes

abstract-algebra number-theory algebraic-number-theory

asked Jul 22, 2019 at 9:12

2 votes

1 answer

77 views

understanding the definition of Q lies over p

abstract-algebra algebraic-number-theory

asked Jul 22, 2019 at 10:07

2 votes

2 answers

53 views

Why does the congruence hold?

abstract-algebra number-theory

asked Jun 23, 2019 at 17:20

1 vote

1 answer

69 views

Understanding the proof

number-theory proof-explanation modular-forms

asked Jun 28, 2019 at 16:58

1 vote

0 answers

74 views

Show that the action of $PSL_2(\mathbb{R})$ on $\mathbb{H}$ is transitive [duplicate]

abstract-algebra number-theory solution-verification modular-forms

asked Jun 7, 2019 at 15:25

1 vote

0 answers

42 views

Why are these matrices coset representatives for $\Gamma_0(2)$ in $SL_2(\mathbb{Z})$?

abstract-algebra number-theory modular-forms

asked Jun 9, 2019 at 16:32

1 vote

0 answers

74 views

Understanding the proof .

number-theory proof-explanation modular-forms

asked Jun 16, 2019 at 13:20

1 vote

1 answer

61 views

Why is $f_\epsilon(u) \in H_0^{1,2}(\Omega)$?

functional-analysis partial-differential-equations calculus-of-variations

asked May 6, 2019 at 9:46

1 vote

0 answers

43 views

$u \in W_0^{1,2}(\Omega) \Rightarrow |u| \in W_0^{1,2}(\Omega)$

functional-analysis sobolev-spaces

asked May 6, 2019 at 13:01

1 vote

1 answer

44 views

Why is $f_\epsilon(u) \in W_0^{1,2}(\Omega)$?

functional-analysis partial-differential-equations sobolev-spaces calculus-of-variations

asked May 6, 2019 at 20:36

1 vote

1 answer

65 views

if $\alpha $ is transcendental , there is no way to write $\frac{1}{\alpha}$ as a polynomial in $\alpha$.

abstract-algebra number-theory

asked May 12, 2019 at 18:29

1 vote

1 answer

43 views

Other formulation for the discriminant

abstract-algebra number-theory algebraic-number-theory

asked May 15, 2019 at 18:08

1 vote

1 answer

42 views

calculating the index

abstract-algebra algebraic-number-theory

asked Jul 22, 2019 at 15:35

1 vote

1 answer

49 views

showing isomorphism

abstract-algebra algebraic-number-theory

asked Jul 11, 2019 at 14:52

1 vote

0 answers

70 views

Trivial class group

abstract-algebra algebraic-number-theory

asked Jul 13, 2019 at 10:17

1 vote

1 answer

62 views

How to calculate the Minkowski bound .

abstract-algebra number-theory

asked May 16, 2019 at 19:59

1 vote

1 answer

92 views

Is this number an algebraic integer over $\mathbb{Z}$?

abstract-algebra algebraic-number-theory

asked Jul 4, 2019 at 20:15

1 vote

1 answer

48 views

showing that $R_k f =2if'+ky^{-1}f$ is a modular form of weight $k+2$ .

number-theory modular-forms

asked Aug 10, 2019 at 10:35

1 vote

1 answer

135 views

In $SL_2(\mathbb{Z}))$ , why is $\Gamma$ a congruence subgroup of index $3$?

number-theory modular-forms

asked Aug 16, 2019 at 19:40

1 vote

0 answers

43 views

Understanding the proof of (b)

number-theory modular-forms

asked Aug 20, 2019 at 11:12

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81 Questions

applying Chinese Remainder Theorem

Why is the map $\mathrm{SL}_2(\mathbb{R})/\mathrm{SO}(2) \rightarrow \mathbb{H} : A \mapsto Ai$ injective?

Norm of ideals in the ring of integers

Calculating the discriminant

Definition of modular forms

class number of $\mathbb{Q}(\sqrt{17})$ [duplicate]

How to split this sum into a double sum.

Why are the coefficients zero if $n$ contains a prime with prime power $1$ that is not split in $K$?

Is each prime ideal in a quadratic field of norm $p$ or $p^2$?

How to split the polynomial . [closed]

splitting primes

understanding the definition of Q lies over p

Why does the congruence hold?

Understanding the proof

Show that the action of $PSL_2(\mathbb{R})$ on $\mathbb{H}$ is transitive [duplicate]

Why are these matrices coset representatives for $\Gamma_0(2)$ in $SL_2(\mathbb{Z})$?

Understanding the proof .

Why is $f_\epsilon(u) \in H_0^{1,2}(\Omega)$?

$u \in W_0^{1,2}(\Omega) \Rightarrow |u| \in W_0^{1,2}(\Omega)$

Why is $f_\epsilon(u) \in W_0^{1,2}(\Omega)$?

if $\alpha $ is transcendental , there is no way to write $\frac{1}{\alpha}$ as a polynomial in $\alpha$.

Other formulation for the discriminant

calculating the index

showing isomorphism

Trivial class group

How to calculate the Minkowski bound .

Is this number an algebraic integer over $\mathbb{Z}$?

showing that $R_k f =2if'+ky^{-1}f$ is a modular form of weight $k+2$ .

In $SL_2(\mathbb{Z}))$ , why is $\Gamma$ a congruence subgroup of index $3$?

Understanding the proof of (b)