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• Tags
  • #NT #motivic
• Refs:
  • Beilinson, Higher regulators and values of L-functions.
  • S. Bloch and K. Kato, L-functions and Tamagawa numbers of motives.
  • Bernstein and S. Gelbart (editors), An Introduction to the Langlands Program
• Links:
  • Galois representations
  • Unsorted/motive MOC
  • Beilinson conjecture
  • Bloch-Kato conjecture
  • Milnor Conjecture
  • motive

motivic L function

An L function associated to a Galois representation. Generalizes the Hasse-Weil L function, conjectured to arise as automorphic L functions

Bloch-Kato

Gives an interpretation to the order of vanishing of \(L(s, M)\) at \(s=0\) for \(M\) a motive.

Related to BSD and finiteness of Sha, involves Selmer groups:

Relation to automorphic representations:

Examples