scientific article; zbMATH DE number 6848716

zbMath1382.05008MaRDI QIDQ4606869

M. P. Chaudhary, Hari M. Srivastava, Sangeeta Choudhary

Publication date: 9 March 2018

Full work available at URL: https://www.ejpam.com/index.php/ejpam/article/view/3222

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zbMATH Keywords

\(q\)-identitiesJacobi's triple-product identityRamanujan's general theta functiontheta-function identitiesinfinite series and infinite products

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Theta series; Weil representation; theta correspondences (11F27) Other functions defined by series and integrals (33E20)

Related Items (16)

Some Somos’s theta function identities of level 6 and application to partitions ⋮ Unnamed Item ⋮ Jacobi's triple-product identity and an associated family of theta-function identities ⋮ Some congruences for overpartitions with restriction ⋮ Discrete Fourier Transform and Theta Function Identities ⋮ A note on \(P\)-\(Q\) type modular equations and their evaluations ⋮ Some new Eisenstein series containing the Borweins' cubic theta functions and convolution sum \(\sum_{i+4j=n} \sigma (i)\sigma (j)\) ⋮ Unnamed Item ⋮ A family of theta-function identities related to Jacobi's triple-product identity ⋮ A family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity ⋮ On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity ⋮ Unnamed Item ⋮ Arithmetic properties of \(2\)-color overpartition pairs ⋮ Theta function identities of level 6 and their application to partitions ⋮ New modular equations of signature three in the spirit of Ramanujan ⋮ On certain new differential equations for ratio of theta functions

Cites Work

• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
• TWO IDENTITIES INVOLVING THETA FUNCTIONS
• TWO THETA FUNCTION IDENTITIES
• THE QUINTUPLE PRODUCT IDENTITY
• NOTE ON MODULAR RELATIONS FOR THE ROGER-RAMANUJAN TYPE IDENTITIES AND REPRESENTATIONS FOR JACOBIAN IDENTITY
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