The index of Farey sequence

We define an integer valued function of the Farey fractions which we call the index, and we prove two exact formulae involving this. We give asymptotic formulae for the second moment of the index and for the value distribution. Zagier communicated to us a remarkable formula relating the index to Ded...

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Bibliographic Details

Main Authors:	R.R. Hall, Peter Shiu
Format:	Default Preprint
Published:	2001
Subjects:	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/737
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