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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Determinant expression of Selberg zeta functions. I
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by Shin-ya Koyama PDF
Trans. Amer. Math. Soc. 324 (1991), 149-168 Request permission

Abstract:

We show that for ${\text {PSL}}(2,{\mathbf {R}})$ and its congruence subgroup, the Selberg zeta function with its gamma factors is expressed as the determinant of the Laplacian. All the gamma factors are calculated explicitly. We also give an explicit computation to the contribution of the continuous spectrum to the determinant of the Laplacian.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 324 (1991), 149-168
  • MSC: Primary 11F72; Secondary 58G26
  • DOI: https://doi.org/10.1090/S0002-9947-1991-1041049-7
  • MathSciNet review: 1041049