Tamagawa number conjecture for over a function field
Tamagawa number conjecture for over a function field
Let be the function field associated with the Riemann surface , let be its adelic ring, and let be the specified maximal compact subgroup. Let denote the Tamagawa measure and the mass of . Tamagawa number conjecture. There exist natural measures such that
and
The conjecture seeks a Tamagawa-number normalization and a zeta-value formula for the maximal compact subgroup. The source gives no resolution.
Sources & referencesView supporting material
Primary source
Lin Weng, “General Uniformity of Zeta Functions”, arXiv:1209.4515 (2012).
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