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Tom Price
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Tate showed that the functional equation for zeta functions of number fields can be proven with fourier-analytic methods on the adele ring. Can the same be done for zeta functions of varieties over finite fields?

Tate showed that the functional equation for zeta functions of number fields can be proven with fourier-analytic methods. Can the same be done for zeta functions of varieties over finite fields?

Tate showed that the functional equation for zeta functions of number fields can be proven with fourier-analytic methods on the adele ring. Can the same be done for zeta functions of varieties over finite fields?

Source Link
Tom Price
  • 804
  • 5
  • 16

Tate's thesis for varieties over finite fields

Tate showed that the functional equation for zeta functions of number fields can be proven with fourier-analytic methods. Can the same be done for zeta functions of varieties over finite fields?