CUSPIDAL CLASS NUMBER FORMULA 181 the group ring. In Section 3, we prove that all modular units on the Ε½ . modular curve X M can be written as products of the functions h and 0 rational numbers. In Section 4, we determine a necessary and sufficient condition under which a product of the functions h
A cuspidal class number formula for the modular curvesX1(N)
β Scribed by Jing Yu
- Book ID
- 105189378
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 843 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
An integer matrix whose determinant computes the cuspidal class number of the modular curve X 1 (m) is obtained. When m is an odd prime, this will provide us with an upper bound of the class number.
We derive an alternative formula for the number of Euler trails on strongly connected directed pseudographs whose every vertex has outdegree and indegree both equal to two in terms of an intersection matrix.
In this note we give an elementary combinatorial proof of a formula of Macris and Pul6 for the number of Euler trails in a digraph all of whose vertices have in-degree and out-degree equal to2.