The Doi-Naganuma Lifting of Quaternary Theta Series.
Paul Ponomarev (1981)
Mathematische Annalen
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Paul Ponomarev (1981)
Mathematische Annalen
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Jürg Kramer (1988)
Mathematische Annalen
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Anatolii N. Andrianov (1980)
Mathematische Annalen
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Michio Ozeki (1977)
Mathematische Annalen
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E. Izadi (1991)
Mathematische Annalen
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Ayşe Alaca, Şaban Alaca, Kenneth S. Williams (2006)
Acta Arithmetica
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Siegfried Böcherer, R. Schulze-Pillot (1990)
Mathematische Annalen
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Stephen S. Kudla, John J. Millson (1986)
Mathematische Annalen
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Solomon Friedberg, Shek-Tung Wong (1991)
Mathematische Annalen
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J.S. Hsia, D.C. Hung (1989)
Mathematische Annalen
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Takayuki Oda (1981)
Mathematische Annalen
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Heng Huat Chan (2015)
Acta Arithmetica
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Recently, P. C. Toh derived identities expressing theta series associated with fundamental idoneal discriminants in terms of generalized Lambert series. His method depends on the fact that the ring of integers of a number field is a Dedekind domain, and is not applicable to theta series associated with non-fundamental idoneal discriminants. The aim of this article is to devise methods for determining the generalized Lambert series representations of theta series associated with non-fundamental...
Y. Choie, Y. Chung (2005)
Acta Arithmetica
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Michio Ozeki (1976)
Mathematische Annalen
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Mario Bonk (1994)
Mathematische Annalen
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Martin Eichler (1982)
Inventiones mathematicae
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Alexander E. Patkowski (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show that some partitions related to two of Ramanujan's mock theta functions are related to indefinite quadratic forms and real quadratic fields. In particular, we examine a third order mock theta function and a fifth order mock theta function.
Anatoli Andrianov (2009)
Acta Arithmetica
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