Theta and L-function splittings

• Autorzy: Jeffrey Stopple
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 72
• Numer: 2
• Strony: 101-108

Daty

wydano

1995

otrzymano

1993-09-29

Twórcy

autor

Jeffrey Stopple

• Mathematics Department, University of California, Santa Barbara, California 93106, U.S.A.

Bibliografia

• [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.
• [2] S. Kudla, Theta functions and Hilbert modular forms, Nagoya Math. J. 69 (1978), 97-106.
• [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.
• [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.