student's user avatar
student's user avatar
student's user avatar
student
  • Member for 7 years, 6 months
  • Last seen this week
6 votes
1 answer
137 views

an arithmetic sum and product puzzle

6 votes
0 answers
570 views

common left and right coset representatives for a subgroup of finite index

5 votes
1 answer
85 views

an infinite product identity

5 votes
1 answer
173 views

Prime divisors of $n! +k$

5 votes
2 answers
587 views

the kernel of the evaluation map

3 votes
1 answer
240 views

the inclusion-exclusion principle for an infinite indexed family of sets

3 votes
3 answers
416 views

Prove that an ideal in $k[x,y]$ is a prime ideal [duplicate]

3 votes
1 answer
78 views

Proof of Lemma 2,2 in the book Elliptic Curves, Number Theory and Cryptography by Lawrence Washington.

2 votes
4 answers
226 views

The number of fixed points of an involution on a finite set has the same parity as the cardinality as the set

2 votes
1 answer
274 views

If $R$ is infinite and $R/I$ is finite for every $I\neq (0)$, then $R$ is a domain [duplicate]

2 votes
2 answers
94 views

approximating $1/{\sqrt{2}}$ by rationals

2 votes
1 answer
199 views

Are the fractional parts of multiples of an irrational number by elements in an arithmetic progression dense in $(0,1)$?

2 votes
0 answers
66 views

irrationality of a decimal expansion

2 votes
2 answers
290 views

sum of the digits of an integer

2 votes
1 answer
103 views

If $n$ is a positive integer, $a$, $b$, and $\sqrt[n]{a}-\sqrt[n]{b}$ are rational, then each of $\sqrt[n]{a}$ and $\sqrt[n]{b}$ must be rational.

2 votes
1 answer
59 views

A calculation involving algebraic numbers

2 votes
0 answers
50 views

Is the following function eventually positive?

2 votes
2 answers
166 views

prove that a subset of complex numbers is not a field

2 votes
2 answers
381 views

Greatest Common Divisors in integral domains

2 votes
1 answer
281 views

Image of a compact interval under a continuous function

2 votes
2 answers
140 views

$k[{X_1},\cdots,{X_m}]$ is not isomorphic to $k[{X_1},\cdots,{X_n}]$ if $m\neq{n}.$

2 votes
1 answer
286 views

Principal ideals generated by elements that are not associates

2 votes
1 answer
75 views

Is the following $3\times 3$ matrix with rational entries invertible?

2 votes
0 answers
121 views

Refining a normal series to get a composition series for a group.

1 vote
0 answers
102 views

The definition height of a rational point on an elliptic curve which is not in Weierstrass normal form

1 vote
1 answer
220 views

Expressing a vector space over a finite field as a finite union of proper subspaces.

1 vote
1 answer
30 views

order of a polynomial at a prime.

1 vote
1 answer
97 views

the radius of convergence of a power series

1 vote
3 answers
60 views

Exercise in abstract algebra

1 vote
0 answers
41 views

ternary quadratic forms over polynomial rings