P Vanchinathan
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 Apr 13 awarded Yearling Feb 23 answered Invariant Polynomials under a Group Action (hidden GIT) Feb 19 revised Functions of several variables over finite fields Rewrite a sentence for clarity. Feb 19 comment Functions of several variables over finite fields Thats neat and natural. Thanks quid. I tried to solve it unnecessarily in a complicated way and was stuck. Feb 19 accepted Functions of several variables over finite fields Feb 19 asked Functions of several variables over finite fields Dec 8 comment Could a real curve symmetric across the line be defined only by polynomial that is not reflection-invariant? The title asks for something not reflection-invariant, but the text inside asks for something invariant. Nov 13 comment Is there a way to find out how many distinct roots a polynomial has? This question has answers in textbooks on field theory as one of the results. Not ideal for Mathoverflow; better to be in math.stackexchange. Oct 28 comment What are the necessary conditions for a real number to be a cyclotomic integers？ When we start with an irreducible polynomial over some field and regards its factorization into irreducible in a Galois extension are not the degrees of irreducible factors above equal (this follows from the transitive action of the Galois group on the primes lying above a given prime: Here the dedekind domains are the PIDs given by polynomial rings over the base and extension fields). So I don't fully understand what is special about cyclotomy here. Oct 27 comment What are the necessary conditions for a real number to be a cyclotomic integers？ @Emil: Expanding on your comment integers of all quadratic fields, following Kronecker-Weber (or something simpler like quadratic reciprocity), are cyclotomic integers. Oct 27 comment What are the necessary conditions for a real number to be a cyclotomic integers？ A real number $x$ is an algebraic integer if and only if $-x$ is. So positivity plays no role. Sep 30 awarded Quorum May 9 answered Roots of not-necessarily reciprocal polynomials Apr 28 comment Factoring a polynomial in a specific manner Your definition of $d'$ involves an undefined $l$. Can you look into it. Apr 25 comment Density of polynomials with a prescribed number field extension or rather $(2N+1)^{n+1}$? (I missed zero!) Apr 25 comment Density of polynomials with a prescribed number field extension As the coefficients $a_i$ can lie between $-N$ and $N$, should not the definition of density have $(2N)^{n+1}$ in the denominator? Apr 24 comment Open source mathematical software OP wanted abstract mathematics, and plotting is mostly about numerical mathematics and applied mathematics. Apr 17 comment Primes as uncorrelated random variables I once saw a heuristic argument that the probability of two numbers being relatively prime is $6/\pi^2$, the computation involving calculating the value of Euler's zeta function value $\zeta(2)$. How does this gel with this? Apr 15 comment How to handle a polynomial whose roots exhibit obvious symmetry Can I assume all your polynomials are irreducible? Apr 15 comment How to handle a polynomial whose roots exhibit obvious symmetry You say you expect to reduce the polynomial because of cyclic group of order 3. What exactly do you mean by reducing? Your polynomials are not irreducible? And your plot needs info on how to interpret: are the dots hights represent roots (real numbers always?) Multiple dots at same level does that means roots of same modulus?