Infinite Product, Dirichlet L-series, and Legendre symbol
碩士 === 國立臺灣大學 === 數學研究所 === 104 === We use Weierstrass factorization theorem to evaluate the infinite product defined by some polynomials.Then we apply the result to express some infinite series and definite integral in closed form. On the other hand, we find out the value of Dirichlet L-function fo...
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2016
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| Online Access: | http://ndltd.ncl.edu.tw/handle/24353266827402596517 |
| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 104 === We use Weierstrass factorization theorem to evaluate the infinite product defined by some polynomials.Then we apply the result to express some infinite series and definite integral in closed form. On the other hand, we find out the value of Dirichlet L-function for some Dirichlet character
X .Moreover, we deduce a new class number formula (where d is positive integer, square free, and greater than 3)
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