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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 $-1/\Gamma(x-1)=(1-x) + O((1-x)^2)$ ...
Jul
9
reviewed No Action Needed Complex structure on $S^6$ gets published in Journ. Math. Phys
Jul
9
reviewed Approve Complex structure on $S^6$ gets published in Journ. Math. Phys
Jul
8
reviewed Looks OK Should one attack hard problems?
Jul
8
reviewed Close Should one attack hard problems?
Jul
8
reviewed No Action Needed Relations between modular functions of certain $q$-continued fractions
Jul
7
comment Explicit bounds for exceptional zeros and/or $L(1,\chi)$ for real $\chi$
Yes; the results should only get better for imprimitive characters. Also the $\log^2$ in the denominator can be removed while still using only the trivial bound for the class number (but maybe no one wrote up an explicit version of that -- maybe useful to do if you're really fighting for constants) -- see Goldfeld and Schinzel archive.numdam.org/ARCHIVE/ASNSP/ASNSP_1975_4_2_4/…
Jul
7
comment Explicit bounds for exceptional zeros and/or $L(1,\chi)$ for real $\chi$
The (standard) argument in Ford/Luca/Moree doesn't really use that $q$ is prime, and works for any fundamental discriminant.