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seen Mar 28 at 0:50

Data Scientist @ Explorer Media. Statistics, Geometry and Physics.


Mar
19
comment calculating Möbius function
@StevenStadnicki just noticed I have reproduce Section 3 in Systematic computations on Mertens' conjecture and Dirichlet's divisor problem by vectorized sieving referred to in the checked answer.
Mar
19
revised calculating Möbius function
incorporated suggestion in the comments
Mar
18
revised calculating Möbius function
added a sieve
Mar
18
answered calculating Möbius function
Mar
15
awarded  Nice Question
Mar
9
asked Show that $\sum_{m \in \mathbb{Z}^3} m_1 e^{z|m|^2} $ is a Holomorphic Cusp Form for $\Gamma_0(4)$
Mar
6
asked Averages over integer points of the sphere
Mar
1
asked Can the GUE be thought of as a uniform point in a high-dimensional polytope
Feb
23
awarded  Notable Question
Jan
21
revised Verlinde Formula and Theta Function Identities
added 138 characters in body
Jan
21
asked Verlinde Formula and Theta Function Identities
Jan
21
accepted higher reciprocity theorems from ratios of Gauss sums
Jan
19
comment higher reciprocity theorems from ratios of Gauss sums
@Wolfgang it's something like $(-1)^{\frac{p-1}{2}}(-1)^{\frac{q-1}{2}}(-1)^{\frac{r-1}{2}}$ but it could be some other joint parity condition mod 4. For example it must be symmetric upon interchanging $p, q, r$
Jan
19
comment higher reciprocity theorems from ratios of Gauss sums
@Wolfgang The formula for Gauss sum holds for odd primes. And the factor of 1 or $i$ has to be carefully checked. $G_{pqr} \propto \sqrt{pqr}$ but we dont know which square root of $-1$ to put there.
Jan
19
comment Soft question: mathematics about truchet tiles
without boundary conditions, these become questions about the Ising model on a square lattice, see Discrete Complex Analysis and Probability by Stanislav Smirnov.
Jan
19
comment Soft question: mathematics about truchet tiles
lpthe.jussieu.fr/~pzinn/semi/miwa.pdf
Jan
19
asked higher reciprocity theorems from ratios of Gauss sums
Jan
6
awarded  Nice Answer
Dec
26
revised Any way to prove Prime Number Theorem using Hyperbolic Geometry?
added 322 characters in body
Dec
25
revised Any way to prove Prime Number Theorem using Hyperbolic Geometry?
deleted 328 characters in body