Doi–Naganuma lifting

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 (1969) and Naganuma (1973). It was a precursor of the base change lifting.

References

• Doi, Koji; Naganuma, Hidehisa (1967), "On the algebraic curves uniformized by arithmetical automorphic functions", Annals of Mathematics. Second Series 86: 449–460, ISSN 0003-486X, JSTOR 1970610, MR0219537 
• 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, MR0253990 
• 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: 547–555, ISSN 0025-5645, MR0332661, http://www.journalarchive.jst.go.jp/jnlpdf.php?cdjournal=jmath1948&cdvol=25&noissue=4&startpage=547&lang=en&from=jnlabstract