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Chris
  • Member for 7 years, 3 months
  • Last seen this week
  • London, UK
15 votes
1 answer
430 views

Closest cyclotomic integer to a cyclotomic number?

4 votes
3 answers
376 views

Finite sum $\sum_{k=1}^{p-1} \frac{1-\cos\left(\frac{2\pi k r}{p}\right)}{1-\cos\left(\frac{2\pi k s}{p}\right)}$ for $\gcd(p,rs)=1$.

4 votes
1 answer
60 views

Unit of the form $n\alpha + m \beta \sqrt{d}$ in real quadratic fields

4 votes
1 answer
175 views

Linear combination of two vectors in complex space

4 votes
3 answers
3k views

Expand $\cos^n (x)$ in terms of $\cos{kx}$, $k=1,\dots,n$.

4 votes
1 answer
452 views

Proof for known values of the Hermite constant

4 votes
1 answer
77 views

Which totally complex number field's embeddings correspond to geometric rotations/reflections in an argand diagram?

3 votes
1 answer
136 views

Determinant of a block matrix, blocks are transformations of the same matrix

2 votes
1 answer
99 views

Prove that $||u||\cdot ||v|| \geq |\langle u,v \rangle|$ for defined inner product

2 votes
1 answer
119 views

On the cardinality of rationals vs irrationals

2 votes
2 answers
467 views

The volume of an $n$-dimensional unit hypercube intersected with the plane $\sum_{i=1}^n x_i=0$.

2 votes
2 answers
603 views

Volume of an $n$-dimensional ellipsoid

2 votes
0 answers
85 views

Lower Bound on the Volume of a Subset of a Convex Cone Generated by Algebraic Integers

1 vote
0 answers
47 views

A lower bound on the number of integer lattice points inside a 0-symmetric convex body

1 vote
1 answer
721 views

How does one define an inner product on the space $V=\mathbb{Q}_p^n$?

1 vote
1 answer
518 views

Norm-Euclidean Domains Division Algorithm

1 vote
0 answers
94 views

Determining Maximal Orders of a Quaternion Algebra

1 vote
1 answer
50 views

System of linear simultaneous equations

1 vote
1 answer
156 views

Multiplication over a cyclotomic field in terms of polynomials over the generators.

0 votes
1 answer
204 views

Positive definite quadratic form over positive integer vectors

0 votes
1 answer
141 views

Calculate the integral $\int_{-1}^{1} \frac{(x-a)^2}{\sqrt{(1-x)}\ (1-ax)^4} dx$

0 votes
1 answer
100 views

Show that the set of elements of a field whose valuation is less than or equal to 1 is the ring of integers of that field.

0 votes
1 answer
87 views

Generators of a Galois group in SAGEMath

0 votes
1 answer
133 views

Maximising a multivariate linear function that includes the rounding in SAGE

0 votes
1 answer
43 views

Calculate the limit of a the following expression