Theta and L-function splittings

Jeffrey Stopple

Acta Arithmetica (1995)

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

How to cite

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Jeffrey 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

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  1. [I] A. Erdélyi et al., Tables of Integral Transforms, based, in part, on notes left by Harry Bateman, McGraw-Hill, 1954. 
  2. [H] A. Erdélyi et al., Higher Transcendental Functions, based, in part, on notes left by Harry Bateman, McGraw-Hill, 1953. 
  3. [G] I. S. Gradshteĭn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 4th ed., Academic Press, 1980. 
  4. [1] K. Doi and H. Naganuma, On the functional equation of certain Dirichlet series, Invent. Math. 9 (1969), 1-14. Zbl0182.54301
  5. [2] S. Kudla, Theta functions and Hilbert modular forms, Nagoya Math. J. 69 (1978), 97-106. Zbl0371.10021
  6. [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. 
  7. [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
  8. [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. 
  9. [6] D. Zagier, Modular forms associated to real quadratic fields, Invent. Math. 30 (1975), 1-46. Zbl0308.10014

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