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1d
reviewed No Action Needed spheres are not simpletic?
1d
comment Small quotients of smooth numbers
I think this is a very interesting question, and don't believe it is known. Note that it implies your other question on logarithms of ratios of square-free numbers, which also is unknown I think. Finally, it may be worth pointing out that the kind of bound you are asking for is best possible -- random products of the first $k$ primes will cluster, and then use pigeonhole to find two near each other.
1d
reviewed No Action Needed Is there a unique commutative group structure on $\mathbb{G}_m$?
1d
reviewed No Action Needed Elliptic regularity Schauder estimates with Dirichlet/Neumann boundary conditions
1d
reviewed No Action Needed Ideals generated by two elements in the polynomial ring of two variables over a field
2d
reviewed Leave Open Raising coefficients of a power series to some power
2d
reviewed Close What is this formula Name? Can anybody teach me guide me to understand this?
Apr
17
reviewed No Action Needed Integer solution to the equation
Apr
17
reviewed Leave Closed Maximality statements that cannot be proved using $\mathsf{ZL}$
Apr
17
reviewed Leave Open “The Two Sheriffs” puzzle
Apr
17
reviewed Leave Closed Are Modular Collatz Graphs strongly connected?
Apr
16
awarded  Nice Answer
Apr
16
reviewed Close Hiring pointers/communities for quantum mechanics and functional analysis
Apr
16
answered Is $\sum_{k=1}^{n} \sin(k^2)$ bounded by a constant $M$?
Apr
15
comment When has the Borel-Cantelli heuristic been wrong?
How about the Maier phenomenon that occasionally there are intervals around $x$ of length $(\log x)^{100}$ say with substantially more (or fewer) primes than one would expect?
Apr
15
awarded  Good Answer
Apr
15
reviewed No Action Needed Existence of an invariant measure on an infinite dimensional space via Lyapunov functional
Apr
15
awarded  Enlightened
Apr
14
comment distribution of $\sqrt{-1} \mod p$
Hooley proved the equidistribution of roots $\mod d$ for composite $d$. That is a much easier problem than the one resolved by Duke, Friedlander and Iwaniec.
Apr
14
awarded  Nice Answer