On one generalization of the modular transformation of the theta function

A. M. Zhuravskii

Vol 40

Pages:

51-66

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Research article

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On one generalization of the modular transformation of the theta function

Authors:

A. M. Zhuravskii

Date submitted:

1958-07-29

Date accepted:

1958-09-09

Date published:

1959-07-22

Abstract

The above transformation of series expressing theta functions has been well known for a long time. It was obtained by Jacobi in 1828 and is related to his studies on the theory of elliptic functions.

References

Лыков А. В. Теория теплопроводности. ГТТИ, 1952.
Jacobi С. G. J. reine und angew. Math., В. Ill, 1828.
Jacobi C. G. Gesammelte Werke. В. I, 1881.
Landsberg J. reine und angew. Math., B. CXI, 1893.

On one generalization of the modular transformation of the theta function

Abstract

References

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