# Metaplectic forms and Gauss sums I

Compositio Mathematica (1987)

- Volume: 62, Issue: 3, page 343-366
- ISSN: 0010-437X

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topPatterson, S. J.. "Metaplectic forms and Gauss sums I." Compositio Mathematica 62.3 (1987): 343-366. <http://eudml.org/doc/89845>.

@article{Patterson1987,

author = {Patterson, S. J.},

journal = {Compositio Mathematica},

keywords = {metaplectic forms; Eisenstein series; automorphic representation; Fourier coefficients; Dirichlet series; Gaussian sums; meromorphic continuation; functional equation; residues at the principal poles},

language = {eng},

number = {3},

pages = {343-366},

publisher = {Martinus Nijhoff Publishers},

title = {Metaplectic forms and Gauss sums I},

url = {http://eudml.org/doc/89845},

volume = {62},

year = {1987},

}

TY - JOUR

AU - Patterson, S. J.

TI - Metaplectic forms and Gauss sums I

JO - Compositio Mathematica

PY - 1987

PB - Martinus Nijhoff Publishers

VL - 62

IS - 3

SP - 343

EP - 366

LA - eng

KW - metaplectic forms; Eisenstein series; automorphic representation; Fourier coefficients; Dirichlet series; Gaussian sums; meromorphic continuation; functional equation; residues at the principal poles

UR - http://eudml.org/doc/89845

ER -

## References

top- 1 I.N. Bernstein and A.V. Zelevinsky: Induced representations of reductive p-adic groups, I. Ann. scient. Ec. Norm. Sup.10 (1977) 441-472. Zbl0412.22015MR579172
- 2 W. Casselman: The unramified principal series of p-adic groups, I. The spherical function. Comp. Math.40 (1980) 387-406. Zbl0472.22004MR571057
- 3 W. Casselman and J. Shalika: The unramified principal series of p-adic groups, II. The Whittaker function. Comp. Math.41 (1980) 207-231. Zbl0472.22005MR581582
- 4 R.P. Langlands: Onf the functional equations satisfied by Eisenstein series. Lecture notes, 544. Springer (1976). Zbl0332.10018MR579181
- 5 R.P. Langlands: Eisenstein series. Proc. Symp. Pure Math.IX (1966) 235-251. Zbl0204.09603MR249539
- 6 D.A. Kazhdan and S.J. Patterson: Metaplectic forms. Publ. Math. IHES59 (1984) 35-142 (corrigendum, Publ. Math. IHES62 (1985) 149). Zbl0559.10026MR743816
- 7 S.J. Patterson: Whittaker models of generalized theta series. Sém. Théorie des Nombres de Paris, 1982-1983. Birkhauser (1984) 199-232. Zbl0563.10023MR791596

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