S
Sun Kim
Researcher at Chonbuk National University
Publications - 39
Citations - 254
Sun Kim is an academic researcher from Chonbuk National University. The author has contributed to research in topics: Ramanujan's sum & Bessel function. The author has an hindex of 8, co-authored 38 publications receiving 201 citations. Previous affiliations of Sun Kim include Ohio State University & University of Cologne.
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Circle and divisor problems, and double series of Bessel functions
TL;DR: In this article, the authors provided a proof of the first identity for the first time by analytically continuing a new kind of Dirichlet series, which was introduced by Ramanujan.
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Weighted divisor sums and Bessel function series, II
TL;DR: In this article, the double series of Bessel functions is proved under a similar interpretation, with one additional assumption, and under a second interpretation, entirely different proofs of both identities, depending on weighted (or twisted) divisor sums, are offered.
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The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved
TL;DR: What is known about these two famous unsolved problems, with a moderate emphasis on Ramanujan's contributions, are surveyed, including identities that have been used to derive bounds, and two further identities that might be useful, if the authors can figure out how to use them.
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Weighted divisor sums and bessel function series. III
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Sums of squares and products of Bessel functions
TL;DR: In this article, a Voronoi summation formula for r k ( n ), k ≥ 2, proved incorrectly by A.I. Popov and later rediscovered by Guinand, is rigorously proved.