报告时间：2026年4月20日（周一）晚上 20:00-21:00

报告地点：西汉姆联未来校区 未来科创中心412

报告人：杭鹏程，东华大学

报告摘要：

In this talk, we introduce sixteen Eisenstein-type series, denoted by ζ_j,l(s, τ) for j, l in {0, 1, 2, 3}, which are constructed via Fourier transforms of functions involving Jacobi elliptic functions. For these series, we establish fundamental analytic properties, including meromorphic continuation to the entire complex s-plane and a complete set of functional equations under the modular transformation τ to -1/τ. Furthermore, we provide their explicit expressions when s runs through sequences of positive even or odd integers. This is joint work with Alexey Kuznetsov.

报告人简介：

杭鹏程，东华大学在读博士生，导师为胡良剑教授，研究方向为数论与特殊函数，已在SIGMA、J. Approx. Theory、Ramanujan J.、JMAA、PMH等期刊发表论文多篇。