User awwalker

16 votes

1 answer

617 views

Necessary and sufficient conditions for a polynomial in $\mathbb{Z}[t]$ to have an $n$th root in $\mathbb{Z}[[t]]$

asked Jul 17, 2011 at 22:31

12 votes

3 answers

2k views

Prove that $\sum_{n=1}^\infty \mu(n) \frac{\log n}{n} =1$

asked Dec 10, 2012 at 7:18

10 votes

4 answers

194 views

Is there an intuitive proof of the identity $ \sum_{L \subset S} \prod_{x \in L} (x-1) = \prod_{x \in S} x$ from general principles?

asked Mar 12, 2013 at 6:56

9 votes

1 answer

217 views

Prove that a holonomic (p-recursive) difference equation returns only integral values

asked Jun 14, 2011 at 1:11

9 votes

1 answer

129 views

A field which is not algebraically closed but has no extensions of a fixed degree(s)?

asked Feb 15, 2012 at 3:57

7 votes

1 answer

641 views

Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?

asked Mar 31, 2012 at 22:05

7 votes

1 answer

106 views

Arithmetic progressions of units in a domain

asked Nov 4, 2012 at 8:44

6 votes

3 answers

495 views

Numbers which are "Provably Difficult to Compute"?

asked Feb 9, 2012 at 22:28

6 votes

2 answers

2k views

Bounds on a sum involving the Möbius function

asked Dec 6, 2012 at 22:46

6 votes

1 answer

109 views

Matrix groups generated by translation and inversion in the unit sphere

asked Aug 13, 2012 at 17:26

6 votes

1 answer

221 views

For which $k$ do the $k$th powers of the roots of a polynomial give a basis for a number field?

asked Oct 25, 2011 at 7:13

5 votes

0 answers

729 views

Sum involving the Digamma function.

asked Sep 6, 2013 at 8:40

5 votes

2 answers

658 views

If the pullback of $F:M \to N$ is an isomorphism, is $F$ a diffeomorphism?

asked Feb 13, 2013 at 21:50

4 votes

2 answers

500 views

Example request: unramified field extension with a relative power integral basis?

asked Feb 20, 2012 at 21:30

4 votes

1 answer

323 views

Asymptotics of a Cauchy Product

asked Apr 3, 2012 at 20:02

3 votes

1 answer

2k views

Can the discriminant of a monic, irreducible polynomial in $\mathbb{Z}[t]$ ever equal $1$?

asked Nov 7, 2011 at 5:04

3 votes

0 answers

77 views

Properties preserved under the "reversal" of a recurrence equation

asked Jul 12, 2011 at 2:30

3 votes

2 answers

2k views

Elements of the square of a prime ideal

asked Feb 1, 2013 at 20:31

2 votes

0 answers

223 views

Is there an effective bound known for the coefficients of half integer weight cusp forms?

asked Aug 4, 2014 at 17:02

2 votes

1 answer

147 views

Let $f \in \mathbb{Z}[t]$. What is the density of $\{n \mid f(n) \text{ is prime}\}$?

asked Oct 17, 2012 at 6:43

2 votes

1 answer

313 views

Infinitude of irreducibles in subring of an integer ring.

asked Nov 7, 2012 at 3:14

2 votes

2 answers

1k views

Characteristic of a Quotient Ring

asked Nov 9, 2012 at 8:53

1 vote

0 answers

458 views

Series expansion about a logarithmic singularity

asked Feb 27, 2012 at 23:28

1 vote

1 answer

360 views

Generalizations of Monogenic Fields

asked Feb 19, 2012 at 20:03

0 votes

1 answer

297 views

Prove that a certain linear fractional transformation is a rotation.

asked Mar 22, 2013 at 6:48

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25 Questions

Necessary and sufficient conditions for a polynomial in $\mathbb{Z}[t]$ to have an $n$th root in $\mathbb{Z}[[t]]$

Prove that $\sum_{n=1}^\infty \mu(n) \frac{\log n}{n} =1$

Is there an intuitive proof of the identity $ \sum_{L \subset S} \prod_{x \in L} (x-1) = \prod_{x \in S} x$ from general principles?

Prove that a holonomic (p-recursive) difference equation returns only integral values

A field which is not algebraically closed but has no extensions of a fixed degree(s)?

Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?

Arithmetic progressions of units in a domain

Numbers which are "Provably Difficult to Compute"?

Bounds on a sum involving the Möbius function

Matrix groups generated by translation and inversion in the unit sphere

For which $k$ do the $k$th powers of the roots of a polynomial give a basis for a number field?

Sum involving the Digamma function.

If the pullback of $F:M \to N$ is an isomorphism, is $F$ a diffeomorphism?

Example request: unramified field extension with a relative power integral basis?

Asymptotics of a Cauchy Product

Can the discriminant of a monic, irreducible polynomial in $\mathbb{Z}[t]$ ever equal $1$?

Properties preserved under the "reversal" of a recurrence equation

Elements of the square of a prime ideal

Is there an effective bound known for the coefficients of half integer weight cusp forms?

Let $f \in \mathbb{Z}[t]$. What is the density of $\{n \mid f(n) \text{ is prime}\}$?

Infinitude of irreducibles in subring of an integer ring.

Characteristic of a Quotient Ring

Series expansion about a logarithmic singularity

Generalizations of Monogenic Fields

Prove that a certain linear fractional transformation is a rotation.