Results 231 to 240 of about 4,592,487 (264)

Partition identities arising from Somos’s theta function identities

Annali Dell'Universita Di Ferrara, 2016
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B R Srivatsa Kumar, Veeresha R G, R G Veeresha   +2 more
exaly   +3 more sources

Identities for Certain Products of Theta Functions

The Ramanujan Journal, 2004
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Chen, Shu-Ling, Huang, Sen-Shan
openaire   +2 more sources

On the Andrews–Warnaar identities for partial theta functions

Advances in Applied Mathematics, 2018
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Jin Wang 0037, Xinrong Ma
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Lattices and θ-function identities. II: Theta series

Journal of Mathematical Physics, 1992
The gluing construction of lattices is used to generate and study a number of theta function densities. It is shown, for example, that Riemann’s formula, a fundamental degree 4 identity, can be derived from a degree 2 identity. It is proved that all in a large class of identities can be derived from these lattice techniques.
Gannon, Terry, Lam, C. S.
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Cubic Identities of Theta Functions

The Ramanujan Journal, 1998
A number of useful and interesting cubic identities involving theta functions are available in Ramanujan's Lost Note book. In this paper several theorems are established, in order to prove, some of these cubic identities. For proving the theorems the author employed addition formulas, the Jacobi triple product identity and the quintuple product ...
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Lattices and Θ-function identities. I: Theta constants

Journal of Mathematical Physics, 1992
The gluing construction of lattices is used to generate and study a number of theta constant identities. It is shown, for example, that the Jacobi identity, a well-known degree 4 identity, can be derived from a degree 2 identity. A list of all quadratic identities in θ3 derivable from this lattice method, containing over 30 algebraically independent ...
Gannon, Terry, Lam, C. S.
openaire   +2 more sources

Some Ramanujan theta function identities

Indian Journal of Pure and Applied Mathematics
Hemant Masal
exaly   +2 more sources

Two identities on the mock theta function V0(q)

Journal of Mathematical Analysis and Applications, 2019
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Renrong Mao
exaly   +2 more sources

Residue Theorem and Theta Function Identities

The Ramanujan Journal, 2001
The residue theorem is applied with ingenuity to elliptic functions to prove some identities of Ramanujan as well as some new identities. The idea is simply to use the fact that the sum of the residues of an elliptic function in a period parallelogram is zero. We quote two of the many results obtained.
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The t-coefficient method to partial theta function identities and Ramanujan’s 1ψ1 summation formula [PDF]

Journal of Mathematical Analysis and Applications, 2012
This paper is concerned with a uniform approach–the t-coefficient method–to basic hypergeometric series. By virtue of this method, some new and elementary proofs for four partial theta function identities due to Alladi and Berkovich (2004) [8], Andrews ...
Ma, X.R.
exaly   +2 more sources