Terms in the Selberg trace formula for associated to Eisenstein series coming from a minimal parabolic subgroup

Author:
D. I. Wallace

Journal:
Trans. Amer. Math. Soc. **327** (1991), 781-793

MSC:
Primary 11F72

DOI:
https://doi.org/10.1090/S0002-9947-1991-1031979-4

MathSciNet review:
1031979

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we compute the contribution to the trace formula for of the integrals associated to inner products of Eisenstein series. We show these reduce to corresponding integrals for a lower rank trace formula plus a few residual terms.

**[1]**J. Arthur,*On a family of distributions obtained from Eisenstein series*I:*application of the Paley-Wiener theorem*, Amer. J. Math.**104**(1982), 1243-1288. MR**681737 (85k:22044)****[2]**-,*On a family of distributions obtained from Eisenstein series*II:*explicit formulas*, Amer. J. Math.**104**(1982), 1289-1336. MR**681738 (85d:22033)****[3]**I. M. Gelfand, M. I. Graev, and I. I. Pyatetskii-Shapiro,*Representation theory and automorphic functions*, Saunders, New York, 1969. MR**0233772 (38:2093)****[4]**R. P. Langlands,*Eisenstein series*, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., Providence, R.I., 1966, pp. 235-252. MR**0249539 (40:2784)****[5]**K. Imai and A. Terras,*The Fourier expansion of Eisenstein series for*, Trans. Amer. Math. Soc.**273**(1982), 679-693. MR**667167 (84d:10033)****[6]**D. I. Wallace,*Maximal parabolic terms in the Selberg trace formula for*, J. Number Theory**29**(1988). MR**945590 (89m:11053)****[7]**-,*Minimal parabolic terms in the Selberg trace formula for*, J. Number Theory**31**(1989). MR**1002111 (91b:11066)****[8]**-,*Terms in the Selberg trace formula for**associated to Eisenstein series coming from a maximal parabolic subgroup*, Proc. Amer. Math. Soc.**105**(1989). MR**963577 (90e:11081)****[9]**A. B. Venkov,*The Selberg trace formula for*, Zap. Nauchn. Sem. (LOMI)**37**(1973).

Retrieve articles in *Transactions of the American Mathematical Society*
with MSC:
11F72

Retrieve articles in all journals with MSC: 11F72

Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1991-1031979-4

Article copyright:
© Copyright 1991
American Mathematical Society