The Brumer–Stark conjecture is a conjecture in algebraic number theory giving a rough generalization of both the analytic class number formula for Dedekind...
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of the Brumer–Stark conjecture was proved by John Tate and Pierre Deligne in 1984. In 2023, Dasgupta and Kakde proved the Brumer–Stark conjecture away from...
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brother of Alon Brumer) Brumer bound, a bound for the rank of an elliptic curve, proved by Armand Brumer Brumer–Stark conjecture, a conjecture in algebraic...
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Stark, Harold M. (1978). An Introduction to Number Theory. Cambridge: MIT Press. ISBN 978-0-262-69060-7.; 1970 edition. Markham Publishing Co. Brumer–Stark...
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List of unsolved problems in mathematics (category Conjectures)
Stark conjectures (including Brumer–Stark conjecture) Characterize all algebraic number fields that have some power basis. Erdős conjecture on arithmetic...
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conjecture. In a joint project with Samit Dasgupta, they proved the Brumer–Stark conjecture away from 2 in 2020, and later over Z {\displaystyle \mathbb {Z}...
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Hilbert's twelfth problem (category Conjectures)
extension of totally real fields by proving the integral Gross–Stark conjecture for Brumer–Stark units. In particular, Teiji Takagi proved the existence of...
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these conjectures are known to be true only in special cases. Brumer–Stark conjecture Peter Schneider, Introduction to the Beilinson Conjectures (PDF)...
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Pierre Deligne (redirect from Deligne conjecture)
Deligne's conjecture on the Lefschetz trace formula (now called Fujiwara's theorem for equivariant correspondences). Brumer–Stark conjecture E7½ Hodge–de...
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conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...
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these ideas are further combined with Stickelberger's theorem. Brumer–Stark conjecture Smith–Minkowski–Siegel mass formula Lectures on the Dirichlet class...
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conjectures and theorems in number theory have been developed around them. Among these are the Brumer–Stark conjecture, the Coates-Sinnott conjecture...
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version. These conjectures have important implications for the Brumer–Stark conjecture, the Coates-Sinnott conjecture and Gross' conjecture on special values...
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