3 problems
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Zagier's rational-relations conjecture for the Bloch–Wigner dilogarithm
Let be the Bloch–Wigner dilogarithm, and consider its values at algebraic arguments . Zagier's conjecture. Every rational linear relation among these values is a…
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Bloch rigidity conjecture over the algebraic numbers
Let denote the Bloch group of a field , and let be the field of algebraic numbers. The natural map … is known to be injective. Bloch rigid…
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Bloch regulator injectivity conjecture
Let be the Bloch group, defined as the kernel of the complex Dehn invariant, and let … be the Bloch regulator map. Bloch regulator injectivity conjecture. T…