# Stopple

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## Registered User

 Name Stopple Member for 2 years Seen yesterday Website Location UC Santa Barbara Age
 Mar28 comment A direct proof of the Harer-Zagier recursion enumerating the ways to paste a 2n-gon to get a genus g surface? So it's actually Zagier and not Zaiger or Zager? Mar22 comment Coutour Integral of Gamma FunctionsWhy not use $\Gamma[3+i-s]=(2+i-s)\Gamma[2+i-s]$ to cancel a Gamma function in the numerator and denominator? Mar16 comment Known and unknown about Ramanujan’s tau functionWell, I've never had any answers to this question: mathoverflow.net/questions/38691/… Feb19 awarded ● Nice Answer Feb11 revised Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$corrected spelling of 'Hiary' Feb6 revised Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$Added background and a sexier title Feb4 accepted What do theta functions have to do with quadratic reciprocity? Feb1 comment The Riemann Hypothesis and the Langlands programAny potential counterexample would lie on the real axis, and so would be the analog of a Landau-Siegel zero. Jan31 comment Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$For the question of how to compute in general, I'm just asking what's known. For practical computations, I'm using Mathematica, which has implemented already 10^7 zeros, for t< about 5*10^6, where they are all known to lie on the critical line. Jan30 comment Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$@Joro, see edit above. I'm interested in computing for a large number of values, and the question in general. Jan30 revised Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$added Titchmarsh reference. Jan29 asked Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$ Jan29 comment Attack on CRT-RSAYou might have better luck at crypto.stackexchange.com Jan28 answered What do theta functions have to do with quadratic reciprocity? Jan22 comment The Riemann Hypothesis and the Langlands program@Cam No, I don't. I've since tried to track it down and been unable to. As I recall, the number theory section was just a portion of a report on the state of mathematics generally. Jan22 awarded ● Nice Answer Jan22 answered The Riemann Hypothesis and the Langlands program Jan17 comment An Expression for $\log\zeta(ns)$ derived from the Limit of the truncated Prime $\zeta$ FunctionI think by $z\in 1,\rho$ you mean to sum over the (one) pole and all the zeros of $\zeta(s)$. This might be clearer if you separated out the contribution of the pole. Jan15 accepted Are potential complex zeros not on the critical line of Dedekind zeta function in quadruples? Jan14 answered Are potential complex zeros not on the critical line of Dedekind zeta function in quadruples? Jan10 revised What can be said about zeros of $\zeta(s)$ sharing the largest real part? retag Jan8 revised Does the Riemann hypothesis for liftable varieties over a finite field imply the Riemann hypothesis for all varieties over a finite fieldre-tag Jan2 comment Elementary examples of the Weil conjecturesSee the exercises at the end of chapter 11 in Ireland and Rosen's "A Classical Introduction to Modern Number Theory" Jan2 comment What are conjectures that are true for primes but then turned out to be false for some composite number?Can you explain what you mean by "true for primes but failed"? Dec17 revised Upper bounds for $\zeta(s)$ on the critical lineretag Dec5 comment The Riemann zeros and the heat equationWe could debate whether the derivation above means that the 1988 formula is the heat equation. But regardless I think this answer misses the spirit of the original question, of whether the connection to the heat equation is well known. The word 'heat' does not appear. Dec5 awarded ● Nice Question Dec5 comment The Riemann zeros and the heat equationIn that reference, do you mean the equation: $$H_\lambda(x)=F_\lambda(D)H_0(x),\qquad D=d/dx,$$ where $$F_\lambda(z)=\sum_{m=0}^\infty (-1)^m\lambda^m z^{2m}/m!$$ This is not the heat equation. Dec4 asked The Riemann zeros and the heat equation Nov26 revised ALE Kähler manifolds are birational to deformations of $\mathbb{C}^n/G$.spelling in title Nov20 comment A rapidly-converging series of the Hasseâ€“Weil L-function associated with an elliptic curve over rationalsSee the book Analytic Number Theory by Iwaniec and Kowalski