Loading Events

« All Events

  • This event has passed.

Sun Kim (김선), Two identities in Ramanujan’s Lost Notebook with Bessel function series

Tuesday, November 5, 2019 @ 4:30 PM - 5:30 PM KST

Room 1401, Bldg. E6-1, KAIST


On page 335 in his lost notebook, Ramanujan recorded without proofs two identities involving finite trigonometric sums and doubly infinite series of Bessel functions. We proved each of these identities under three different interpretations for the double series, and showed that they are intimately connected with the classical circle and divisor problems in number theory. Furthermore, we established many analogues and generalizations of them. This is joint work with Bruce C. Berndt and Alexandru Zaharescu.


Tuesday, November 5, 2019
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:


Room 1401, Bldg. E6-1, KAIST


Dongsu Kim (김동수)
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
Copyright © IBS 2018. All rights reserved.