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X-WR-CALNAME:Discrete Mathematics Group
X-ORIGINAL-URL:https://dimag.ibs.re.kr
X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
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DTSTART:20180101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20191105T163000
DTEND;TZID=Asia/Seoul:20191105T173000
DTSTAMP:20260420T184020
CREATED:20191027T113022Z
LAST-MODIFIED:20240707T085941Z
UID:1636-1572971400-1572975000@dimag.ibs.re.kr
SUMMARY:Sun Kim (김선)\, Two identities in Ramanujan’s Lost Notebook with Bessel function series
DESCRIPTION: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.
URL:https://dimag.ibs.re.kr/event/2019-11-05/
LOCATION:Room 1401\, Bldg. E6-1\, KAIST
CATEGORIES:Discrete Math Seminar
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