Doi–Naganuma lifting
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Short description: Mathematical map for transforming elliptic modular forms
In mathematics, the Doi–Naganuma lifting is a map from elliptic modular forms to Hilbert modular forms of a real quadratic field, introduced by (Doi Naganuma) and (Naganuma 1973). It was a precursor of the base change lifting.
It is named for Japanese mathematicians Kōji Doi (土井公二） and Hidehisa Naganuma (長沼英久).
See also
- Saito–Kurokawa lift, a similar lift to Siegel modular forms
References
- Doi, Koji; Naganuma, Hidehisa (1967), "On the algebraic curves uniformized by arithmetical automorphic functions", Annals of Mathematics, Second Series 86: 449–460, doi:10.2307/1970610, ISSN 0003-486X
- Doi, Koji; Naganuma, Hidehisa (1969), "On the functional equation of certain Dirichlet series", Inventiones Mathematicae 9 (1): 1–14, doi:10.1007/BF01389886, ISSN 0020-9910
- Naganuma, Hidehisa (1973), "On the coincidence of two Dirichlet series associated with cusp forms of Hecke's "Neben"-type and Hilbert modular forms over a real quadratic field", Journal of the Mathematical Society of Japan 25 (4): 547–555, doi:10.2969/jmsj/02540547, ISSN 0025-5645
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