Doi–Naganuma lifting
{{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 {{harvtxt|Doi|Naganuma|1969}} and {{harvtxt|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
- {{Citation | last1=Doi | first1=Koji | last2=Naganuma | first2=Hidehisa | title=On the algebraic curves uniformized by arithmetical automorphic functions | jstor=1970610 | mr=0219537 | year=1967 | journal=Annals of Mathematics |series=Second Series | issn=0003-486X | volume=86 | pages=449–460 | doi=10.2307/1970610}}
- {{Citation | last1=Doi | first1=Koji | last2=Naganuma | first2=Hidehisa | title=On the functional equation of certain Dirichlet series | doi=10.1007/BF01389886 | mr=0253990 | year=1969 | journal=Inventiones Mathematicae | issn=0020-9910 | volume=9 | issue=1 | pages=1–14}}
- {{Citation | last1=Naganuma | first1=Hidehisa | title=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 | mr=0332661 | year=1973 | journal=Journal of the Mathematical Society of Japan | issn=0025-5645 | volume=25 | issue=4 | pages=547–555 | doi=10.2969/jmsj/02540547 | doi-access=free | hdl=2433/219714 | hdl-access=free }}
{{DEFAULTSORT:Doi-Naganuma lifting}}