“modular form”的概念、定义、习题解题方法及翻译-数学辞典

单词

modular form

释义

modular form

A modular form of weight k is a holomorphic function on the upper half plane Imz > 0, such that f((az + b)/(cz + d)) = (cz + d)^k f(z) and f(z) can be expressed as a Fourier series

where the Fourier coefficients c(n) are integers. Note that f(z + 1) = f(z) and so modular forms have period 1. The only function with odd weight is the zero function.

随便看

数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。