The 5-dissections of two infinite product expansions
In this paper, we establish 5-dissections of two infinite products and thereby prove that their q -series coefficients vanish for two arithmetic progressions. Moreover, our results also imply that the signs of coefficients of these infinite products are periodic with period 5 from n > 1 .
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| Veröffentlicht in: | The Ramanujan journal 2021-04, Vol.54 (3), p.475-484 |
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| container_end_page | 484 |
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| container_title | The Ramanujan journal |
| container_volume | 54 |
| creator | Dou, Donna Q. J. Xiao, Jiejuan |
| description | In this paper, we establish 5-dissections of two infinite products and thereby prove that their
q
-series coefficients vanish for two arithmetic progressions. Moreover, our results also imply that the signs of coefficients of these infinite products are periodic with period 5 from
n
>
1
. |
| doi_str_mv | 10.1007/s11139-019-00200-w |
| format | Article |
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q
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n
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n
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| subjects | Combinatorics Dissection Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory Progressions Series (mathematics) |
| title | The 5-dissections of two infinite product expansions |
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