- #1
joebohr
- 57
- 0
If I were to solve a system of multiple equations in the form
αx+βy+ζz=p[itex]_{1}[/itex]
Where α,β,ζ are constants x,y,z are variables, and p is a prime, how would I use Galois theory and/or number theory to find the number of solutions if the other equations could all be written in the form
α[itex]_{i}[/itex]x[itex]_{i}[/itex]+β[itex]_{i}[/itex]y[itex]_{i}[/itex]+ζ[itex]_{i}[/itex]z[itex]_{i}[/itex]=p[itex]_{i}[/itex] where, once again, each α,β,ζ are constants, each p is a distinct prime, and x,y,z are all variables?
Thanks in advance.
αx+βy+ζz=p[itex]_{1}[/itex]
Where α,β,ζ are constants x,y,z are variables, and p is a prime, how would I use Galois theory and/or number theory to find the number of solutions if the other equations could all be written in the form
α[itex]_{i}[/itex]x[itex]_{i}[/itex]+β[itex]_{i}[/itex]y[itex]_{i}[/itex]+ζ[itex]_{i}[/itex]z[itex]_{i}[/itex]=p[itex]_{i}[/itex] where, once again, each α,β,ζ are constants, each p is a distinct prime, and x,y,z are all variables?
Thanks in advance.