Assuming the Riemann Hypothesis, we study negative moments of the Riemann zetafunction and obtain asymptotic formulas in certain ranges of the shift in
We develop a twotiming perturbation analysis to provide quantitative insights on the existence of temporal ratchets in an exemplary system of a particle moving in a tank of fluid in response to an external vibration of the tank. We consider twomode vibrations with angular frequencies
 Award ID(s):
 2011544
 NSFPAR ID:
 10502744
 Publisher / Repository:
 Springer Science + Business Media
 Date Published:
 Journal Name:
 The European Physical Journal E
 Volume:
 47
 Issue:
 4
 ISSN:
 12928941
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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