On lens spaces which are isospectral but not isometric
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 13 (1980) no. 3, pp. 303-315. 
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     author = {Ikeda, Akira},
     title = {On lens spaces which are isospectral but not isometric},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {303--315},
     publisher = {Elsevier},
     volume = {Ser. 4, 13},
     number = {3},
     year = {1980},
     doi = {10.24033/asens.1384},
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     zbl = {0451.58037},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1384/}
}
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Ikeda, Akira. On lens spaces which are isospectral but not isometric. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 13 (1980) no. 3, pp. 303-315. doi : 10.24033/asens.1384. http://archive.numdam.org/articles/10.24033/asens.1384/

[1] M. Berger, P. Gaudachon and E. Mazet, Le spectre d'une variété riemannienne (Lecture Notes in Math., No. 194, Springer-Verlag, Berlin-Heidelberg-New York, 1971). | MR | Zbl

[2] M. M. Cohen, A Course in Simple-Homotopy Theory, Graduate Texts in Mathematics, Vol. 10, Springer-Verlag, New York-Heidelberg-Berlin, 1970. | MR | Zbl

[3] G. De Rham, S. Maumary and M. A. Kervaire, Torsion et type simple d'homotopie (Lecture Notes in Math., No. 48, Springer-Verlag, Berlin-Heidelberg-New York, 1967). | MR | Zbl

[4] N. Ejiri, A Construction of Non-Flat, Compact Irreducible Riemannian Manifolds Which are Isospectral but not Isometric (Math. Z., Vol. 212, 1979, pp. 207-212). | MR | Zbl

[5] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Oxford Univ. Press, 1960. | Zbl

[6] A. Ikeda and Y. Yamamoto, On the Spectra of 3-Dimensional Lens Spaces (Osaka J. Math., Vol. 16, 1979, pp. 447-469). | MR | Zbl

[7] A. Ikeda, On the Spectrum of a Riemannian Manifold of Positive Constant Curvature (Osaka J. Math., Vol. 17, 1980, pp. 75-93). | MR | Zbl

[8] A. Ikeda, On the Spectrum of a Riemannian Manifold of Positive Constant Curvature. II (to appear).

[9] J. Milnor, Eigenvalues of the Laplace Operator on Certain Manifolds (Proc. Nat. Sc. U.S.A., Vol. 51, 1964, p. 542). | MR | Zbl

[10] D. B. Ray, Reidemeister Torsion and the Laplacien on Lens Spaces (Advances in Math., Vol. 4, 1970, pp. 109-126). | MR | Zbl

[11] M. Tanaka, Compact Riemannian Manifolds which are Isospectral to Three Dimensional Lens Spaces. II (Proc. Fac. Sc. Tokai Univ., Vol. XIV, 1978, pp. 11-34). | MR | Zbl

[12] S. Tanno, Eigenvalues of the Laplacian of Riemannian Manifolds (Tôhoku Math. J., Vol. 25, 1973, pp. 391-403). | MR | Zbl

[13] M. F. Vignéras, Exemples de sous-groupes discrets non conjugués de PSL (2, R) qui ont même fonction zêta de Selberg (C.R. Acad. Sc., T. 287, série A, 1978, pp. 47-49). | MR | Zbl

[14] Y. Yamamoto, On the Number of Lattice Points in the Square |x| + |y| ≦ u with a Certain Congruence Condition (Osaka J. Math., Vol. 17, 1980, pp. 9-21). | MR | Zbl

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