Construct · 1 fields · 1 citations

Schanuel's conjecture: a standalone construct

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Number theory

for complex numbers linearly independent over the rationals, they and their exponentials generate a field of transcendence degree at least their count.

In number theory, Schanuel's conjecture refers to for complex numbers linearly independent over the rationals, they and their exponentials generate a field of transcendence degree at least their count. This meaning comes from Ax (1971) in The Annals of Mathematics.[1]

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Nearby constructs

complex4 fields · 4 citationsjingle · one word, four constructs count2 fields · 2 citationsjingle · one word, two constructs degree1 fields · 1 citationsanchor · a standalone construct

References

Ax, J. (1971). On Schanuel's Conjectures. The Annals of Mathematics, 93(2), 252. https://doi.org/10.2307/1970774

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