1,274 reputation
427
bio website
location
age 21
visits member for 2 years, 1 month
seen 2 days ago

(your about me is currently not blank)


Jun
16
revised Checking an inductive proof on a combinatorial product
added 10 characters in body
Jun
16
comment Checking an inductive proof on a combinatorial product
@coffeemath when you say "yes" are you confirming that I do indeed have this right? I have added the $k \geq 2$ condition thanks for this input. Regards.
Jun
14
asked Checking an inductive proof on a combinatorial product
Jun
13
answered Introductory books on complex analysis?
Jun
13
comment Binomial coefficients equal to a prime squared
Never mind, I now see that you would need $2p \cdot (2p - 1) \cdots (p)(p-1)\cdots$. Thanks again
Jun
13
comment Binomial coefficients equal to a prime squared
I accepted Jyrki's answer, but I want to thank you for the referral to the paper, this is useful for the more general aspects of my project
Jun
13
comment Binomial coefficients equal to a prime squared
many thanks for this response. A neat proof! However I wonder if you could elaborate on why it is necessary that $2p \leq m$, and not the more trivial bound that $p^2 \leq m$?
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?