The period function of the nonholomorphic Eisenstein series for PSL(2, ℤ)

Mathematical Physics Electronic Journal

Volumn 4, Issue , 1998, Pages 1-8

  Chang, Cheng Hung ^a   Mayer, Dieter ^a  

^a CLAUSTHAL UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Dynamical approach; Maass wave form; Modular forms; Modular group; Period function; Selberg's zeta function; Transfer operator

Indexed keywords

EID: 0039613555     PISSN: 10866655     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. [CM] C. Chang and D. Mayer: The transfer operator approach to Selberg's zeta function and modular and Maass wave forms for PSL(2, ℤ), to appear in IMA Volumes in Mathematics and its Applications 'Emerging Applications of Number Theory'. 73-142pp.
2. [GR] I. S. Gradshteyn and I.M. Ryzhik: Table of Integrals, Series and Products, Academic Press, New York and London (1965).
3. [L] J. Lewis: Spaces of holomorphic functions equivalent to even Maass cusp forms, Invent. Math. 127 271-306pp. (1997).
4. [LZ] J. Lewis and D. Zagier: Period functions and the Selberg zeta function for the modular group, MPI Bonn Preprint 96/112.
5. [M] D. Mayer: The thermodynamic formalism approach to Selberg's zeta function for PSL(2, ℤ), Bull. American Math. Soc. 25 55-60pp. (1991).
6. [MOS] W. Magnus, F. Oberhettinger and R. P. Soni: Formulas and Theorems for the Special Functions of Mathematical Physics, Springer-Verlag (1966).
7. [Z1] D. Zagier: Periods of modular forms and Jacobi theta functions, Invent. Math. 104 449-465pp. (1991).
8. [Z2] D. Zagier: Periods of modular forms, traces of Hecke operators and multiple zeta values, in 'Studies of automorphic forms and L functions', RIMS Kyoto 162-170pp. (1992).
9. [Z3] D. Zagier: Introduction to Modular Forms in 'From Number Theory to Physics', eds. M. Waldschmidt et al, Springer-Verlag Berlin (1992).