Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593381 | Journal of Number Theory | 2016 | 4 Pages |
Abstract
It is known that the Riemann hypothesis holds if and only if the function χ(0,1)χ(0,1) can be approximated by linear combinations of uαuα in L2(0,1)L2(0,1). Here uα(x)uα(x) is defined by [α/x]−α[1/x][α/x]−α[1/x] for 0<α<10<α<1. In this note we generalize the Beurling's equivalent condition by replacing the function χ(0,1)χ(0,1) with χ(a,b)χ(a,b) for any 0≤a
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jongho Yang,