| 標題: | A SHORT PROOF OF MILNE'S FORMULAS FOR SUMS OF INTEGER SQUARES |
| 作者: | Long, Ling Yang, Yifan 應用數學系 Department of Applied Mathematics |
| 關鍵字: | Eisenstein series;Jacobi theta functions;modular forms;sum of integer squares;Hankel determinant evaluation |
| 公開日期: | 1-十二月-2005 |
| 摘要: | We give a short proof of Milne's formulas for sums of 4n(2) and 4n(2) + 4n integer squares using the theory of modular forms. Other identities of Milne are also discussed. |
| URI: | http://dx.doi.org/10.1142/S1793042105000364 http://hdl.handle.net/11536/13027 |
| ISSN: | 1793-0421 |
| DOI: | 10.1142/S1793042105000364 |
| 期刊: | INTERNATIONAL JOURNAL OF NUMBER THEORY |
| Volume: | 1 |
| Issue: | 4 |
| 起始頁: | 533 |
| 結束頁: | 551 |
| 顯示於類別： | 期刊論文 |
- BASES FOR S-k(Gamma(1)(4)) AND FORMULAS FOR EVEN POWERS OF THE JACOBI THETA FUNCTION / Fukuhara, Shinji;Yang, Yifan
- A basis for S (k) (I" (0)(4)) and representations of integers as sums of squares / Fukuhara, Shinji;Yang, Yifan
- 卡拉比-邱流型與齊苟模型式的關聯(III) / 楊一帆;Yang Yifan
- Twisted Hecke L-values and period polynomials / Fukuhara, Shinji;Yang, Yifan
- Congruences of the Partition Function / Yang, Yifan
- 模型式與黎曼函數值 / 李仁豪;Ren-Hau Li;楊一帆;Yifan Yang
- A Cubic Analogue of the Jacobsthal Identity / Chan, Heng Huat;Long, Ling;Yang, YiFan
- On integrals of Eisenstein series and derivatives of L-series / Yang, YF
- Cuspidal Q-rational Torsion Subgroups of Jacobians of Modular Curves / 陳耀漢;Chen, Yao-Han;楊一帆;Yang, Yi-Fan
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