论文标题
银行Laine功能与真实零的功能
Bank-Laine functions with real zeros
论文作者
论文摘要
有限顺序的每个真正的银行利因函数,其零都是真实的,但既不在上面也没有限制,要么在三角函数方面具有明确的表示,要么具有至少具有收敛指数的零指数至少3。
Every real Bank-Laine function of finite order, whose zeros are all real but neither bounded above nor bounded below, either has an explicit representation in terms of trigonometric functions or has zeros with exponent of convergence at least 3. An example constructed via quasiconformal surgery demonstrates the sharpness of this result.