It is well known that the Riemann hypothesis is equivalent to the following statement: the identity function belongs to the linear span in L 2(0, 1) of the family [α/x] - α [1/x], 0 < α < 1. A step is presented in describing the set of all idempotents representable as a finite sum of functions of the form (*).
Original language | English |
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Pages (from-to) | 2930-2943 |
Number of pages | 14 |
Journal | Journal of Mathematical Sciences |
Volume | 110 |
Issue number | 5 |
DOIs | |
State | Published - 1 Jan 2002 |
ID: 49880058