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Post Closed as "Needs details or clarity" by Felipe Voloch, R.P., Stefan Kohl♦, Jan-Christoph Schlage-Puchta, abx
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Maybe this is a bit naive, but consider an equation of the form in Fermats Last Theorem $f_n(x,y,z) = x^n +y^n - z^n$.

Would it be possible to reprove Fermats Last Theorem by considering the Hasse-Weil zeta function $L(X, s)$ of the projective variety $X$ cut out by $f_n$ and analyzing special values on the left side of the right half plane for which $L(f_n,s)$ is defined?

Are there any conjectures/beliefs out there of such a proof?

Maybe this is a bit naive, but consider an equation of the form in Fermats Last Theorem $f_n(x,y,z) = x^n +y^n - z^n$.

Would it be possible to reprove Fermats Last Theorem by considering the Hasse-Weil zeta function $L(X, s)$ of the projective variety $X$ cut out by $f_n$ and analyzing special values on the left side of the right half plane for which $L(f_n,s)$ is defined?

Maybe this is a bit naive, but consider an equation of the form in Fermats Last Theorem $f_n(x,y,z) = x^n +y^n - z^n$.

Would it be possible to reprove Fermats Last Theorem by considering the Hasse-Weil zeta function $L(X, s)$ of the projective variety $X$ cut out by $f_n$ and analyzing special values on the left side of the right half plane for which $L(f_n,s)$ is defined?

Are there any conjectures/beliefs out there of such a proof?

Source Link
Eins Null
Eins Null
  • 1.6k
  • 9
  • 13

Hasse-Weil Zeta Functions & Fermats Last Theorem

Maybe this is a bit naive, but consider an equation of the form in Fermats Last Theorem $f_n(x,y,z) = x^n +y^n - z^n$.

Would it be possible to reprove Fermats Last Theorem by considering the Hasse-Weil zeta function $L(X, s)$ of the projective variety $X$ cut out by $f_n$ and analyzing special values on the left side of the right half plane for which $L(f_n,s)$ is defined?