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Hui Xue
Linear independence between odd and even periods of modular forms
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| Published: |
March 31, 2024. |
| Keywords: |
Eisenstein series, Rankin's identity, linear independence, periods of modular forms. |
| Subject [2010]: |
11F67,11F30. |
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Abstract
We investigate the linear dependence between an odd period and an even period of modular forms. We show that two periods of different parity are linearly independent provided that the even period has index at least 6 or the odd period has index at least 7.
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| Acknowledgements
The author is grateful to the referee for careful reading of the paper and valuable
suggestions and comments.
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| Author information
Hui Xue
School of Mathematical and Statistical Sciences
Clemson University
Clemson, SC 29634-0975, USA
huixue@clemson.edu
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