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Showing 1 to 3 of 3 for “"ABC-conjecture"”.
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Topics in Analytic Number Theory
… In the third chapter we study an analog of the abc conjecture for arithmetical functions in r variables over a field K of characteristic zero.
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Arithmetic statistics and Vinberg representations
… of certain discriminant polynomials. It is conjectured that such a density should be equal to the product of local densities, but this result is only known assuming the $abc$ conjecture. We build on a result of Bhargava--Shankar--Wang, which is concerned with the density of squarefree values …