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1d
comment Diophantine equation : two products of linear factors differ by a constant
I wonder if one can find an example where $a,b,c$ are all distinct, and $a',b',c'$ are all distinct also .
1d
revised Diophantine equation : two products of linear factors differ by a constant
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1d
asked Diophantine equation : two products of linear factors differ by a constant
Dec
19
revised To control first derivative with the function itself: $f'(x)^2\leq Cf(x)$ near where $f(x_0)=f'(x_0)=f''(x_0)=0$.
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Dec
19
comment To control first derivative with the function itself: $f'(x)^2\leq Cf(x)$ near where $f(x_0)=f'(x_0)=f''(x_0)=0$.
@JonasMeyer Thank you for reminding me of that. Unfortunately, I just found that the supremum of ${Q''}_n$ on $[\frac{1}{n+1},\frac{1}{n}]$ tends to $\infty$ as $n\to+\infty$. I'll see if this can be salvaged.
Dec
19
awarded  Revival
Dec
18
answered To control first derivative with the function itself: $f'(x)^2\leq Cf(x)$ near where $f(x_0)=f'(x_0)=f''(x_0)=0$.
Dec
16
awarded  Nice Question
Dec
15
awarded  Caucus
Dec
11
asked Can this simple divisibility property on binomial coefficient be proved without Gauss' lemma?
Dec
11
answered A sequence of roots of polynomials depending on an integer parameter
Dec
11
comment A sequence of roots of polynomials depending on an integer parameter
The limit is indeed $\frac{1}{3}$ but your answer is not very rigorous.
Dec
9
comment Asymptotic development of a recurrent sequence
I wonder if this method can be iterated to yield abitrary deep asymptotic expansions.
Dec
9
revised Condition on vector-valued function
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Dec
8
comment Diophantine equation with bounded variables
I suppose $\lambda$ is a positive integer ?
Dec
8
revised How to prove that $A^2$ is a symmetric matrix
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Dec
1
answered Proving $3x^{3}+4y^{3}+5z^{3}\equiv 0 (3^{m})$ has nontrivial integer solutions $\forall$ $m\in\mathbb{N}$
Nov
27
revised Isomorphism problem for two radical extensions of the same degree
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Nov
26
comment Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
@TonyK corrected, thanks.
Nov
26
revised Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
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