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Vol 40
Pages:
51-66
Download volume:
RUS
Article

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.

Область исследования:
(Archived) Without section
Funding:

None

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References

  1. Lykov A. V. Theory of Heat Conduction. GTTI, 1952. (in Russian)
  2. Jacobi С. G. Journal für die reine und angewandte Mathematik , V. III, 1828.
  3. Jacobi C. G. Coll. of Works. V. I, 1881.
  4. Landsberg Journal für die reine und angewandte Mathematik , V. CXI, 1893.

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