Smirnov's arithmetic defect conjecture for maps on the compactified spectrum of the integers
Smirnov's arithmetic defect conjecture for maps on the compactified spectrum of the integers
Let be a nonzero rational number, let be the associated map, and let denote the arithmetic defect of a point . Define
For each , Smirnov's arithmetic defect conjecture. there exists a constant satisfying
This is an analogue of the function-field abc framework, expressing a uniform bound on the total arithmetic defect of degree-one points. The supplied source does not establish the assertion or provide evidence of its resolution.
Sources & referencesView supporting material
Primary source
Manoel Jarra, “On Smirnov's approach to the ABC conjecture”, arXiv:2306.16637 (2024).
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