Interaction sums and action of Hecke operators on theta-series

Anatoli Andrianov

Displaying similar documents to “Interaction sums and action of Hecke operators on theta-series”

Action of Hecke Operator T(p) on Theta Series.

Anatolii N. Andrianov (1980)

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On the two-dimensional theta functions of the Borweins

Ayşe Alaca, Şaban Alaca, Kenneth S. Williams (2006)

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Action of Hecke operators on products of Igusa theta constants with rational characteristics

Anatoli N. Andrianov, Fedor A. Andrianov (2004)

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Theta Series on the Hecke Groups G(...2) and G(...3).

Günter Köhler (1988)

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Theta Series of Inhomogeneous Quadratic Forms.

Martin Eichler (1982)

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A proof of the mock theta conjectures.

Dean Hickerson (1988)

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Theta liftings and Hecke L-functions.

Tonghai Yang (1997)

Journal für die reine und angewandte Mathematik

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Eichler Commutation Relations for Theta Series of Nebentypus.

Paul Ponomarev (1988)

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Theta series associated with certain positive definite binary quadratic forms

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...

On Some Partition Functions Related to Some Mock Theta Functions

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.