Timeline for Zero combinations of certain sequences

8 events

when toggle format	what		by	license	comment
May 30, 2017 at 16:41	history	edited	HenrikRüping	CC BY-SA 3.0	edited title
May 30, 2017 at 16:40	vote	accept	HenrikRüping
May 30, 2017 at 16:36	comment	added	HenrikRüping		@ Fedor: I guess there is an index shift somewhere. In your reformulation it should be "less than $2^k$", since otherwise $p(t)=1$ would be an obvious counterexample. Furthermore it follows that $p = f/(t-1)^k$ must be divisible by $t+1$ (Otherwise plug in $t=-1$).
May 30, 2017 at 15:18	answer	added	Fedor Petrov		timeline score: 1
May 30, 2017 at 15:03	comment	added	Fedor Petrov		Equivalent reformulation: if a polynomial $f(t)$ with integer coefficients is divisible by $(t-1)^{k}$, then the sum of absolute coefficients is not less than $2^{k+1}$.
May 30, 2017 at 14:34	history	edited	HenrikRüping	CC BY-SA 3.0	added 8 characters in body
May 30, 2017 at 14:21	comment	added	ThiKu		The first sentence means "... of {\em integer} valued sequences ...", right?
May 30, 2017 at 13:58	history	asked	HenrikRüping	CC BY-SA 3.0