RECIPROCITY OF DEDEKIND SUMS AND FACTOR SET FOR UNIVERSAL COVERING GROUP OF SL(2, R)
RECIPROCITY OF DEDEKIND SUMS AND FACTOR SET FOR UNIVERSAL COVERING GROUP OF SL(2, R)
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DOI：
10.1017/s0027763000013301
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发表时间：
1970-01-01
影响因子：
0.8
通讯作者：
ASAI, T
中科院分区：
文献类型：
--
作者：
ASAI, T
通过对乘子（即在一般模替换下的变换公式中出现的乘子）的显式研究，我们可以很自然地得到高斯和或二次剩余符号的互易律。柯西、克罗内克、赫克等人提出的这一引人注目的事实是非常经典的，但其理论意义还不够明确。
By explicit studying on theta-multipliers (i.e. the multipliers which appear in theta-transformation formulas under general modular substitutions), we can naturally get the reciprocity law of Gauss sums or quadratic residue symbols. This remarkable fact, by Cauchy, Kronecker, Hecke and others, is very classical, but its theoretical meaning has not been sufficiently clear yet.