Paper folding, theta functions and the circle method. (Pliages de papiers, fonctions thêta et méthode du cercle.) (French) Zbl 0993.11012
A reader wanting to know the relations between the folding of a strip of paper, the series \(\sum z^{-2^n}\), the Erdős-Turan theorem on polynomials, the elliptic theta functions, the partition function \(\prod_{n\geq 1} (1-x^n)^{-1}\), and the existence of a measure for which the denominators of the convergents of the paper folding continued fraction are orthogonal, will certainly enjoy very much this rich and interesting paper.
Reviewer: Jean-Paul Allouche (Orsay)
MSC:
| 11B85 | Automata sequences |
| 11P55 | Applications of the Hardy-Littlewood method |
| 11F27 | Theta series; Weil representation; theta correspondences |
References:
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