Stopple

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Name Stopple
Member for 2 years
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Location UC Santa Barbara
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Mar
28
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?
Mar
22
comment Coutour Integral of Gamma Functions
Why not use $\Gamma[3+i-s]=(2+i-s)\Gamma[2+i-s]$ to cancel a Gamma function in the numerator and denominator?
Mar
16
comment Known and unknown about Ramanujan’s tau function
Well, I've never had any answers to this question: mathoverflow.net/questions/38691/…
Feb
19
awarded  Nice Answer
Feb
11
revised Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$
corrected spelling of 'Hiary'
Feb
6
revised Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$
Added background and a sexier title
Feb
4
accepted What do theta functions have to do with quadratic reciprocity?
Feb
1
comment The Riemann Hypothesis and the Langlands program
Any potential counterexample would lie on the real axis, and so would be the analog of a Landau-Siegel zero.
Jan
31
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.
Jan
30
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.
Jan
30
revised Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$
added Titchmarsh reference.
Jan
29
asked Pair correlation for the Riemann zeros and $(\zeta^\prime(s)/\zeta(s))^\prime$
Jan
29
comment Attack on CRT-RSA
You might have better luck at crypto.stackexchange.com
Jan
28
answered What do theta functions have to do with quadratic reciprocity?
Jan
22
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.
Jan
22
awarded  Nice Answer
Jan
22
answered The Riemann Hypothesis and the Langlands program
Jan
17
comment An Expression for $\log\zeta(ns)$ derived from the Limit of the truncated Prime $\zeta$ Function
I 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.
Jan
15
accepted Are potential complex zeros not on the critical line of Dedekind zeta function in quadruples?
Jan
14
answered Are potential complex zeros not on the critical line of Dedekind zeta function in quadruples?
Jan
10
revised What can be said about zeros of $\zeta(s)$ sharing the largest real part?
retag
Jan
8
revised Does the Riemann hypothesis for liftable varieties over a finite field imply the Riemann hypothesis for all varieties over a finite field
re-tag
Jan
2
comment Elementary examples of the Weil conjectures
See the exercises at the end of chapter 11 in Ireland and Rosen's "A Classical Introduction to Modern Number Theory"
Jan
2
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"?
Dec
17
revised Upper bounds for $\zeta(s)$ on the critical line
retag
Dec
5
comment The Riemann zeros and the heat equation
We 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.
Dec
5
awarded  Nice Question
Dec
5
comment The Riemann zeros and the heat equation
In 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.
Dec
4
asked The Riemann zeros and the heat equation
Nov
26
revised ALE Kähler manifolds are birational to deformations of $\mathbb{C}^n/G$.
spelling in title
Nov
20
comment A rapidly-converging series of the Hasse–Weil L-function associated with an elliptic curve over rationals
See the book Analytic Number Theory by Iwaniec and Kowalski