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Jun
13
accepted Binomial coefficients equal to a prime squared
Jun
12
asked Binomial coefficients equal to a prime squared
Jun
5
comment Trying to prove an identity about a product
I will go down that route, thanks for your suggestions @wece
Jun
5
comment Trying to prove an identity about a product
@wece I thought that I should induct on $p$ and then perhaps have a "nested" induction on $n$ inside the proof. How can I induct on $n$ but still establish that it is only those above tuples that give me the desired dimension?
Jun
4
revised Trying to prove an identity about a product
added 32 characters in body
Jun
4
answered Suggest an Antique Math Book worth reading?
Jun
4
asked Trying to prove an identity about a product
Jun
3
accepted Number of possible pairs from $\{1,\dots, n\}$ with $i < j$
May
30
comment Number of possible pairs from $\{1,\dots, n\}$ with $i < j$
My mistake, it is in fact simply ${n \choose 2}$
May
30
asked Number of possible pairs from $\{1,\dots, n\}$ with $i < j$
May
23
accepted How to find instances when $d(a,b) = p^2$ for $p$ a prime.
May
23
comment How to find instances when $d(a,b) = p^2$ for $p$ a prime.
@MarkBennet it appears after looking at your answer and the original problem more closely that there are no such $(a,b) \in \Bbb N$ that satisfy this for $p$ a prime. Do you know how I might find the integral points on the surface $F(a,b,n) = 0 = d(a,b) - n$ for $n \in \Bbb N$?
May
23
comment How to find instances when $d(a,b) = p^2$ for $p$ a prime.
@AmireBendjeddou $a, b \in \Bbb N$, sorry I should have mentioned these constraints. @ Mark Bennet: I'm sorry I think I may have misunderstood you. So your comment is that there are no pairs of the form $(1, b)$ satisfying the above equality?
May
23
asked How to find instances when $d(a,b) = p^2$ for $p$ a prime.
May
14
awarded  Caucus
May
14
asked How to write down the maximal subgroups of $GL(9, \mathbb{C})$
May
6
awarded  Tumbleweed
May
3
accepted Galois relations between subfields
May
3
accepted Standard representation of $\frak S_4$
May
3
accepted Weights versus roots