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The root lattice |
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| Authors: | Kok Seng Chua |
| Affiliation: | Institute of High Performance Computing, 89C Science Park Driver, #02-11/12 The Rutherford, Singapore 118261 |
| Abstract: | We relate a formula of Ramanujan on the circular summation of the |
| Keywords: | Ramanujan theta functions lattices |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
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th power of theta functions, 
, to the theta series of the root lattice 
. We then use properties of the lattice to show that 
includes an 
modular form when 
is an odd perfect square as well as to derive a very simple expression for 
.