In order to participate in the seminar, a few minutes prior to the beginning of the seminar you should connect to the Zoom conference via the following link or manually using the Zoom conference ID 897 7646 2466 and password 549526. If you have problems logging into Zoom, you can connect to the YouTube livestream of the seminarThe development of modern electronic devices often leads to meaningful mathematical statements. We will consider two problems that traditionally arise in the synthesis of multiband electric filters: (1) the problem of approximation, i.e. finding the amplitude-frequency characteristic of the required specification and (2) the task of implementation is the synthesis of the architecture and finding the values ​​of the structural elements of the device that implements this characteristic. Both problems attracted the attention of the leading mathematicians of their time E. I. Zolotarev, V. Kauer, N. I. Akhiezer, E. Stifel, A. A. Gonchar, R. Bott, and others.