The variance of the error function in the shifted circle problem is a wild function of the shift
β Scribed by Pavel M. Bleher; Freeman J. Dyson
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 440 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0010-3616
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## Abstract We consider the threeβdimensional SchrΓΆdinger operator with constant magnetic field of strength __b__ > 0, and with smooth electric potential. The weak asymptotics of the spectral shift function with respect to __b__ β +β is studied. First, we fix the distance to the Landau levels, then
Let , 1 , ..., , n be compactly supported distributions in L p (R s ) ( 0<p). We say that the shifts of , 1 , ..., , n are L p -stable if there exist two positive constants C 1 and C 2 such that, for arbitrary sequences a 1 , ..., a n # l p (Z s ), In this paper we prove that the shifts of , 1 , ..