# Theta and L-function splittings

Acta Arithmetica (1995)

- Volume: 72, Issue: 2, page 101-108
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topJeffrey Stopple. "Theta and L-function splittings." Acta Arithmetica 72.2 (1995): 101-108. <http://eudml.org/doc/206787>.

@article{JeffreyStopple1995,

author = {Jeffrey Stopple},

journal = {Acta Arithmetica},

keywords = {-function; base change lift; simultaneous Hecke cusp eigenform; theta lift; Mellin transform; splitting of the theta function},

language = {eng},

number = {2},

pages = {101-108},

title = {Theta and L-function splittings},

url = {http://eudml.org/doc/206787},

volume = {72},

year = {1995},

}

TY - JOUR

AU - Jeffrey Stopple

TI - Theta and L-function splittings

JO - Acta Arithmetica

PY - 1995

VL - 72

IS - 2

SP - 101

EP - 108

LA - eng

KW - -function; base change lift; simultaneous Hecke cusp eigenform; theta lift; Mellin transform; splitting of the theta function

UR - http://eudml.org/doc/206787

ER -

## References

top- [I] A. Erdélyi et al., Tables of Integral Transforms, based, in part, on notes left by Harry Bateman, McGraw-Hill, 1954.
- [H] A. Erdélyi et al., Higher Transcendental Functions, based, in part, on notes left by Harry Bateman, McGraw-Hill, 1953.
- [G] I. S. Gradshteĭn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 4th ed., Academic Press, 1980.
- [1] K. Doi and H. Naganuma, On the functional equation of certain Dirichlet series, Invent. Math. 9 (1969), 1-14. Zbl0182.54301
- [2] S. Kudla, Theta functions and Hilbert modular forms, Nagoya Math. J. 69 (1978), 97-106. Zbl0371.10021
- [3] S. Kudla, Relations between automorphic forms produced by theta-functions, in: Modular Functions of One Variable VI, Lecture Notes in Math. 627, Springer, 1977, 277-285.
- [4] S. Niwa, Modular forms of half integral weight and the integral of certain theta-functions, Nagoya Math. J. 56 (1974), 147-161. Zbl0303.10027
- [5] M.-F.Vignéras, Séries thêta des formes quadratiques indéfinies, in: Modular Functions of One Variable VI, Lecture Notes in Math. 627, Springer, 1977, 227-239.
- [6] D. Zagier, Modular forms associated to real quadratic fields, Invent. Math. 30 (1975), 1-46. Zbl0308.10014

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