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A Family of Theta-Function Identities Related to Jacobi’s Triple-Product Identity

Russian Journal of Mathematical Physics, 2020
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Srivastava, H. M., Chaudhary, M. P., Chaudhary, S.   +2 more
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Jacobi’s Triple Product Identity

2002
We recall that the two Euler identities, (9.3) and (9.4), relate infinite products and infinite sums. In this chapter, we will use them to prove an important identity first discovered by Jacobi. Several interesting appli-cations of this identity in number theory will be explored in subsequent chapters.
Victor Kac, Pokman Cheung
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Durfee rectangles and the Jacobi triple product identity

Acta Mathematica Sinica, 1993
Das Jacobische dreifache Produkt kann folgendermaßen formuliert werden: \[ (t;q)_ \infty\cdot (t^{-1} q;q)_ \infty\cdot (q;q)_ \infty= \sum^ \infty_{n=-\infty} (-1)^ n q^{{n\choose 2}} t^ n, \] wobei \((x; q)_ 0=1\) und \((x;q)_ n= (1-x)(1- xq)\cdots (1- xq^{n-1})\) ist.
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Some arithmetical consequences of Jacobi's triple product identity

Mathematical Proceedings of the Cambridge Philosophical Society, 1997
Hauptresultat der vorliegenden Note ist Satz 1: Sei \(q\) eine ganze algebraische Zahl mit \(|q|>1\), die einer der beiden folgenden Bedingungen genügt: (C1) \(q\) ist imaginär-quadratisch, (C2) für jede Konjugierte \(q' \;(\not= q)\) von \(q\) gilt \(|q'|< 1\). Dann gehören \(\zeta_q := \sum n/(q^n-1)\) und \(\chi_q :=\sum n q^n/(q^{2n}-1)\) nicht zu \
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Combinatorial interpretations of truncated series from the Jacobi triple product identity

European Journal of Combinatorics
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Jacobi triple product identity

2021
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An Application of Jacobi Triple Product Identity in Integer Partition Theory

Pure Mathematics, 2022
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The Jacobi Triple Product Identity

2017
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1 An introduction to Jacobi’s triple product identity

2020
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TWO IDENTITIES DERIVABLE FROM THE JACOBI’S TRIPLE-PRODUCT IDENTITY AND THE RAMANUJAN CONTINUED FRACTION

Far East Journal of Mathematical Sciences (FJMS), 2017
Mahendra Pal Chaudhary, Sangeeta Chaudhary, Junesang Choi   +2 more
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