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Jul
31
comment Finding a lower bound in terms of given integers
@BorisBukh: Usually for Baker type methods to work, one fixes some algebraic irrational, and then considers approximations of suitably large height. I don't immediately see how that leads to anything better than Fedor Petrov's comment above to the problem at hand (in the general situation where $n$, $m$ and $l$ may all be large).
Jul
31
answered Lower bounding the probability that $\gcd(t,N)≤B$, for a random $t$ and fixed (large) $N$
Jul
31
reviewed No Action Needed Lower bounding the probability that $\gcd(t,N)≤B$, for a random $t$ and fixed (large) $N$
Jul
31
reviewed Leave Closed Removing an article from arxiv
Jul
31
reviewed Leave Open Asymptotics of a recurrence relation
Jul
30
reviewed Leave Closed Why only Normed Linear Spaces?
Jul
30
reviewed Leave Closed system with solutions $\{x-a:0\leqslant a\leqslant z-1\}$
Jul
30
reviewed Leave Closed Are there infinitely many $k$ for which $\frac{\sigma(k)}{k}=n^p$ and $p$ is an odd prime?
Jul
29
reviewed No Action Needed Are smooth solutions to a PDE dense in the space of $L^2$ solutions to the PDE?
Jul
29
comment Fermat's proof for $x^3-y^2=2$
There may be more than one way of writing numbers in the form $a^2+2b^2$. So the last para doesn't seem clear to me.
Jul
29
reviewed Close What am I missing in this highly oscillatory integral?
Jul
29
reviewed Close Recursion, Common Term, Combinatorics
Jul
28
reviewed No Action Needed Uniqueness of Riemann Constant Vector Solution
Jul
28
reviewed Leave Closed Recent progress on the busy beaver problem?
Jul
28
reviewed Close arithmetic progressions with few primes
Jul
27
reviewed Leave Closed Vector inequation problem
Jul
27
reviewed Close Counting function for prime pair with bounded gaps between them
Jul
19
reviewed Close Derivative of Band-limited functions
Jul
10
comment Asymptotic expansion of a sequence given by an integral with reciprocal Gamma function
Yes, that's right -- $1/(\log n)^2$.
Jul
9
comment Asymptotic expansion of a sequence given by an integral with reciprocal Gamma function
It's about $n/(\log n)^2$. The integral is dominated by the region near $1$, where you can use $-1/\Gamma(x-1)=(1-x) + O((1-x)^2)$ ...