<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We report on a particular case of the paper [7], joint with Raphaël Ponge, showing that generically, the eta function of a first-order differential operator over a closed manifold of dimension n has first-order poles at all positive integers of the form n - 1; n - 3; n - 5;. . . .</p></abstract>

We report on a particular case of the paper [7], joint with Raphaël Ponge, showing that generically, the eta function of a first-order differential operator over a closed manifold of dimension n has first-order poles at all positive integers of the form n - 1; n - 3; n - 5;. . . .

Singularities of the eta function of first order differential operators

Department of Mathematics, Binghamton University, Binghamton, NY 13902, U.S.A.

Institutul de Matematică al Academiei Române, P.O. Box 1-764, RO-014700 Bucharest, Romania

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Singularities of the eta function of first order differential operators"}

We report on a particular case of the paper [7], joint with Raphaël Ponge, showing that generically, the eta function of a first-order differential operator...

Singularities of the eta function of first order differential operators

Published Online: May 17, 2013

Page range: 59 - 70

DOI: https://doi.org/10.2478/v10309-012-0040-5

Keywords
Singularities, poles and residues, meromorphic structures, eta and zeta functions, Dirac and elliptic operators

This content is open access.

Singularities of the eta function of first order differential operators

Published Online: May 17, 2013

Page range: 59 - 70

DOI: https://doi.org/10.2478/v10309-012-0040-5

KeywordsSingularities, poles and residues, meromorphic structures, eta and zeta functions, Dirac and elliptic operators

This content is open access.

Keywords
Singularities, poles and residues, meromorphic structures, eta and zeta functions, Dirac and elliptic operators