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3
votes
Is there a better proof of this fact in number theory/formal group theory?
Inspired by the previous answer I am thinking about simplest possible ways to prove
$$
gcd\left(\binom n1_q,...,\binom n{n-1}_q\right)=\Phi_n(q).
$$
One most primitive way to do it is to check that bo …
4
votes
Isomorphism between two universal p-typical formal group laws
As a way of additional information - explicit expressions of the $l$s in terms of the generators look like this:
for Hazewinkel generators,
$$
l_n=\sum_{\substack{n_1+...+n_k=n,\\1\leqslant k\leqsl …
5
votes
What is known about the sum x^{n^2}/n?
The following answer is not really satisfactory for me; however it seems to be the analog of current results on similar phenomena like partial, mock and quantum modular forms, so I decided to post it …
0
votes
What is known about the sum x^{n^2}/n?
Again in no sense a complete answer - I just found a partial explanation for my very last remark about reappearing factors in the homogeneous summands of the formal group.
Let $L_s(x)$ be the above lo …