marlu

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I am a Part III student in Cambridge, focusing on Algebraic Number Theory.


159 Answers

newest activity votes
20
An entire function is identically zero?
20
Is it possible to combine two integers in such a way that you can always take them apart later?
18
Does $a!b!$ always divide $(a+b)!$
18
Do we have always $f(A \cap B) = f(A) \cap f(B)$?
16
Does commutativity imply Associativity?
14
Prove that every number ending in a $3$ has a multiple which consists only of ones.
14
Evaluation of a product of sines
13
Why can't a polynomial fit infinitely many points of an exponential function?
12
Your favourite application of the Baire category theorem
12
To show $A\implies B$, is that sufficient to show for all $C$ s.t. $C\implies A$ then $C\implies B$
12
0 as the unique eigenvalue of a matrix
11
A problem on field extension
9
Square roots of integers and cyclotomic Fields
8
About finiteness of trees
8
Residue of $\frac{\tan(z)}{z^3}$
8
How to prove $p$ divides $a^{p - 2} + a^{p - 3} b + a^{p - 4} b^2 + \cdots + b^{p - 2}$ when $p$ is prime, $a, b \in \mathbb{Z}$ and $a,b \lt p$?
8
Is $f$ injective in $W$?
8
Reflection groups and symmetric group
7
Show that the set of all finite subsets of $\mathbb{N}$ is countable.
7
let $f$ be any meromorphic function then $\operatorname{ord}_p(f)=0$
7
Context-free grammar for words of a CF grammar starting with a certain symbol
7
Show $100+t$ is reducible in $\mathbb{Z}[[t]]$
7
How many square numbers are there?
6
number of distinct prime Ideal of a ring
6
Calculating Splitting Field Degree of Extension
6
Prove that every real vector space has infinitely many vectors
6
Identity, Bernoulli number
6
Prove the equation without solving for X
5
Products and pullbacks imply equalizers?
5
On finitely generated R-module
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