Tez Türü: Bütünleşik Doktora
Tezin Yürütüldüğü Kurum: Tokyo University, Graduate School of Mathematical Sciences, Department of Mathematical Sciences, Japonya
Tez Danışmanı: Kazuya Kato
Tezin Onay Tarihi: 2022
Tezin Dili: İngilizce
Özet:
(From the introduction)
A conjecture of Beilinson relates elements in the K-group of schemes to special
values of L-functions. Beilinson gave such elements in the K-group of modular
curves and showed that they were related to the special values of L-functions
attached to modular forms ([1],[13]). We follow the analogy between Drinfeld
modules of rank two and elliptic curves, and show that the elements in K-theory constructed in [12] are related to, under a regulator map, special values
of L-functions attached to automorphic forms in positive characteristic.