User z.h. - MathOverflowmost recent 30 from http://mathoverflow.net2013-05-25T03:34:21Zhttp://mathoverflow.net/feeds/user/5098http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/21003/polynomial-bijection-from-qxq-to-qPolynomial bijection from QxQ to Q?Z.H.2010-04-11T12:03:13Z2013-04-29T16:31:35Z
<p>Is there any polynomial $f(x,y)\in{\mathbb Q}[x,y]{}\ $ such that $f:\mathbb{Q}\times\mathbb{Q} \rightarrow\mathbb{Q}$ is a bijection?</p>
http://mathoverflow.net/questions/128433/resources-on-wolstenholmes-theoremResources on Wolstenholme's theoremZ.H.2013-04-23T04:54:53Z2013-04-23T04:54:53Z
<p>In Wikipedia entry on Wolstenholme's theorem, it says</p>
<p><code>The second formulation $\binom{ap}{bp}=\binom{a}{b}\pmod{p^3}$ of Wolstenholme's theorem is due to J. W. L. Glaisher.</code></p>
<p>But there is no reference to it. Does anyone know which paper of J. W. L. Glaisher contains the above statement?</p>
http://mathoverflow.net/questions/62524/is-it-possible-to-use-aks-test-in-integer-factorizationIs it possible to use AKS-test in integer factorizationZ.H.2011-04-21T11:55:10Z2011-04-23T03:12:25Z
<p>Agrawal-Kayal-Saxena use the identity $$(X+a)^n=X^n+a \pmod{n, X^r-1}$$ for some small $a$'s to determine primes. Is it possible to improve this method and use it for integer factorization? Are there any research in this way? Thanks. </p>
<p>[Edit] More specifically, Is it possible to find a constructive proof (rather than the original existence proof) of AKS theorem, which will reveal some information for composite numbers.</p>
http://mathoverflow.net/questions/128433/resources-on-wolstenholmes-theoremComment by Z.H.Z.H.2013-04-23T09:09:24Z2013-04-23T09:09:24ZThanks. I have added these references to the Wikipedia page.