jakey

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Hey all. 3rd year undergraduate studying a math degree, then on to do a masters and thinking about a PhD in number theory after.

5 Questions

 20 Are the integers closed under addition… really? 2 Prove that if b is coprime to 6 then $b^2 \equiv 1$ (mod 24) 1 Intersection Number of $B = Y^2 - X^3 + X$ and $F = (X^2 + Y^2)^3 - 4X^2Y^2$ using the fact $I(P,F \cap B) = ord_P^B(F)$. 0 For distinct primes $p,q$ show $\exists$ a primitive root $b$ of $q$ such that $\gcd(b,p)= 1$ 0 Prove there are infinitely many *primitive* solutions to $x^2 + y^2 = z^4$ [duplicate]

165 Reputation

 +5 Intersection Number of $B = Y^2 - X^3 + X$ and $F = (X^2 + Y^2)^3 - 4X^2Y^2$ using the fact $I(P,F \cap B) = ord_P^B(F)$. +10 Prove that if b is coprime to 6 then $b^2 \equiv 1$ (mod 24) +25 Can you find a Polynomial of Degree 7 that has 2 complex roots and 5 real? -2 Are the integers closed under addition… really?

 1 Can you find a Polynomial of Degree 7 that has 2 complex roots and 5 real?

8 Tags

 1 polynomials 0 prime-numbers 1 roots 0 algebraic-curves 0 number-theory × 3 0 algebraic-geometry 0 sequences-and-series 0 infinity

2 Accounts

 Mathematics 165 rep 110 Stack Overflow 1 rep 1