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20122026
most citedThe algebra of generating functions for multiple divisor sums and applications to multiple zeta values

7 citations · 16 across the 5 of their papers we have counts for

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math.NT2012

A height inequality for rational points on elliptic curves implied by the abc-conjecture

Ulf Kühn, J. Steffen Müller

In this short note we show that the uniform abc-conjecture over number fields puts strong restrictions on the coordinates of rational points on elliptic curves. For the proof we us…

math.NT2012★ 2 cited

Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces

Ulf Kühn, Jan Steffen Müller

We give an explicitly computable lower bound for the arithmetic self-intersection number of the dualizing sheaf on a large class of arithmetic surfaces. If some technical condition…