The modified explicit Brumer–Stark unit conjecture
Let be the relevant local multiplicative group and let . Define from the explicitly constructed quantities , and let be the Brumer–Stark unit. Modified explicit Brumer–Stark conjecture. One should have
This is presented as a slightly easier form of the preceding explicit formula conjecture; the source notes that the corresponding inversion property for holds unconditionally. The source gives no resolution status.
References
Primary source
Samit Dasgupta and Mahesh Kakde, “On the Brumer-Stark Conjecture and Refinements”, arXiv:2204.09037 (2022).
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