bio  website  ma.utexas.edu/users/voloch 

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visits  member for  4 years, 10 months 
seen  19 mins ago  
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< Over there, you'll find my website.
16h

comment 
How to find secret key and public key for ECC cryptosystem?
You are posting on the wrong website. Read the FAQ. 
19h

awarded  Nice Answer 
1d

answered  Is there any algorithm to decide whether a series with integral coefficiens is a algebraic function? 
1d

comment 
Is there any algorithm to decide whether a series with integral coefficiens is a algebraic function?
The input to an algorithm has to be a finite amount of data. 
1d

comment 
Equations over $\mathbb{Z}[[T]]$ vs. equations over $\mathbb{Z}_p$
Won't you get a counterexample by taking $X$ defined over $\mathbb{Z}$ and failing the Hasse principle? 
1d

comment 
Parity of primes
It's right there on the right hand side under "Related". mathoverflow.net/questions/44561/oddbitprimesratio 
1d

comment 
What are the minimal degrees of the real and imaginary part of an algebraic complex number?
No. $S_2\times S_{n2}$, the order is $2(n2)!$ and the index is $n(n1)/2$. 
1d

comment 
What are the minimal degrees of the real and imaginary part of an algebraic complex number?
The worst case scenario is when the Galois group of the minimal polynomial of $z$ is $S_n$, in this case the index in $S_n$ of the subgroup in my first comment is the answer to your question. 
1d

comment 
What are the minimal degrees of the real and imaginary part of an algebraic complex number?
This is just Galois theory. What is the size of the subgroup of $S_n$ that fixes $z_i+z_j$? 
2d

comment 
“Inverse problem” for the zeta function
I don't think the counting argument is that simple but the statement is correct. 
2d

comment 
“Inverse problem” for the zeta function
Third time this question is asked: mathoverflow.net/questions/178232/… and mathoverflow.net/questions/70605/fromzetafunctionstocurves 
2d

reviewed  Leave Closed The field of rational functions on a smooth projective absolutely irreducible curve over a finite field 
2d

reviewed  Close How did the summation operation come into use? 
2d

reviewed  Close Geometrically connected curve 
2d

reviewed  Close Intuition behind $\zeta(2) = \frac{\pi^2}{6}$ 
Oct 20 
comment 
Monte Carlo variant of Hilbert's Tenth Problem
The algorithm that always returns false should be pretty good when $d>k$. Slightly better in this range would be to perform a search for solutions up to some power of $C$. For $d \le k$ it's probably better to check local solvability. In that range one expects many equations to have solutions so the always false algorithm won't be so good. I don't know how to get a lower bound that works for all algorithms, i.e., estimate the density of undecidable equations. 
Oct 17 
comment 
Equidistribution of rational points on an algebraic variety
Never mind two primes, the reduction map is not surjective modulo $p$ for infinitely many $p$ for an elliptic curve of rank one. 
Oct 17 
revised 
Rational functions and polynomials evaluated on a set of points
added 228 characters in body 
Oct 17 
answered  Rational functions and polynomials evaluated on a set of points 
Oct 17 
comment 
Rational functions and polynomials evaluated on a set of points
When I said "more than $m$ variables" I was referring to the number of indeterminate coefficients of $f$, not $n$. A similar analysis should work for multilinear polynomials, of course the number of coefficients is different. 