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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2006 Volume 197, Number 6, Pages 3–24 (Mi sm1568)

This article is cited in 8 papers

Properties of exponential series with sequence of exponents satisfying a Levinson-type condition

A. Baka, Yu. V. Muranovb

a Bielefeld University
b Vitebsk State University named after P. M. Masherov

Abstract: It is shown that if the sequence of exponents of a Dirichlet series satisfies a Levinson-type condition, then the growth of the absolute values of its sum has a sharp lower bound on curves of bounded slope which depends only on the coefficients and the exponents of the series.
Bibliography: 21 titles.

Keywords: surgery exact sequence, normal invariant, splitting along submanifold.

UDC: 513.83+515.1

MSC: Primary 57R67, 19J25; Secondary 57R05, 18F25

Received: 23.05.2005

DOI: 10.4213/sm1568


 English version:
Sbornik: Mathematics, 2006, 197:6, 791–811

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© Steklov Math. Inst. of RAS, 2024