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Jan
27
comment Polynomial/ Exponential diophantine equation
Thanks Will! In case quadratic function is a complete square, we can have infinitely many solutions. But this together with your characterization covers all cases indeed. I think I will just cite Siegel work.
Jan
27
comment Polynomial/ Exponential diophantine equation
i've added the clarification. Here, $a,b,c$ are fixed whereas $m,n$ vary
Jan
27
revised Polynomial/ Exponential diophantine equation
added 6 characters in body
Jan
27
asked Polynomial/ Exponential diophantine equation
Dec
10
awarded  Caucus
Nov
17
answered Bounding error of Padé approximation
Aug
30
awarded  Yearling
Aug
28
comment Prove that $\sum \limits_{d|n}(n/d)\sigma(d) = \sum \limits_{d|n}d\tau(d)$
both sides are multiplicative functions. So it is enough to check the equality for prime powers
Jul
1
comment Resources about infinite primes of form $n^2 + 1$
Look at this post math.stackexchange.com/questions/44126/… The best partial progress for the polynomial values that are prime (in two dimensions though) is the work of Iwaniec and Friedlander en.wikipedia.org/wiki/Friedlander–Iwaniec_theorem
Jul
1
comment Resources about infinite primes of form $n^2 + 1$
the problem is open. You want resources that contain partial progress?
Jun
28
answered How prove this Stronger AM-GM inequality $\frac{n^2-1}{6}\min_{1\le i<j\le n}\left(\sqrt{a_{i}}-\sqrt{a_{j}}\right)^2\le A_{n}-G_{n}$
Jun
27
revised Integer values of $\frac{x}{y}+\frac{y}{z}+\frac{z}{x}$?
added 1 character in body
Jun
27
revised Integer values of $\frac{x}{y}+\frac{y}{z}+\frac{z}{x}$?
added 217 characters in body
Jun
27
revised Integer values of $\frac{x}{y}+\frac{y}{z}+\frac{z}{x}$?
added 300 characters in body
Jun
27
revised Integer values of $\frac{x}{y}+\frac{y}{z}+\frac{z}{x}$?
added 300 characters in body
Jun
27
answered Integer values of $\frac{x}{y}+\frac{y}{z}+\frac{z}{x}$?
Jun
25
reviewed Approve Integrate $\tan^a(u)$ from 0 to $\pi/2$
Jun
25
comment Is there a sharper bound than exponential for $\sum_{k\ge0}\frac{m!(k+n-m)!}{(k+n)!}\frac{s^k}{k!}$?
my suggestion was basically the same to what Greg Martin mentioned: the Binomial coefficient essentially behaves in the same way as the expression I gave.
Jun
25
answered Prove that there exists $\xi \in (a,b)$, such that $f(\xi)+f'(\xi)=\xi + 1$
Jun
25
comment Prove that there exists $\xi \in (a,b)$, such that $f(\xi)+f'(\xi)=\xi + 1$
you might want to add some condition for the derivative... Say that it is continuous. As to the problem, if such point \ksi does not exist then we have strict inequality between two sides. You can then deduce the inequality for $f...$