A geometric bound on F-term inflation

Andrea Borghese; Diederik Roest; Ivonne Zavala

doi:10.1007/jhep09(2012)021

A geometric bound on F-term inflation

Journal of High Energy Physics ◽

10.1007/jhep09(2012)021 ◽

2012 ◽

Vol 2012 (9) ◽

Cited By ~ 16

Author(s):

Andrea Borghese ◽

Diederik Roest ◽

Ivonne Zavala

Keyword(s):

Geometric Bound

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Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients

Discrete Dynamics in Nature and Society ◽

10.1155/ddns/2006/40270 ◽

2006 ◽

Vol 2006 ◽

pp. 1-18 ◽

Cited By ~ 1

Author(s):

Kenneth S. Berenhaut ◽

Edward E. Allen ◽

Sam J. Fraser

Keyword(s):

Lower Bound ◽

Power Series ◽

Formal Power Series ◽

Decay Rates ◽

Optimal Decay Rates ◽

Optimal Decay ◽

Formal Power ◽

Geometric Bound

This paper studies reciprocals of formal power series whose coefficients are monotone and bounded by a geometrically decaying sequence. Explicit and applicable, optimal decay rates are provided for the coefficients of the reciprocal series in terms of the parameters of the geometric bound. The results imply a best possible lower bound on the zeros of the series being considered.

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