• 101 Citations
  • 6 h-Index
19992019
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Research Output 1999 2019

  • 101 Citations
  • 6 h-Index
  • 14 Article
  • 1 Chapter
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Article
2019

A tiling proof of Euler’s Pentagonal Number Theorem and generalizations

Eichhorn, D., Nam, H. & Sohn, J., 2019 Jan 1, (Accepted/In press) In : Ramanujan Journal.

Research output: Contribution to journalArticle

Pentagonal number
Tiling
Q-series
Generating Function
Theorem
2018
1 Citation (Scopus)

From Partition Identities to a Combinatorial Approach to Explicit Satake Inversion

Hahn, H., Huh, J. S., Lim, E. S. & Sohn, J., 2018 Sep 1, In : Annals of Combinatorics. 22, 3, p. 543-562 20 p.

Research output: Contribution to journalArticle

Partition Identities
Inversion
Endoscopy
L-function
Context
2017

Applications of the Heine and Bauer–Muir transformations to Rogers–Ramanujan type continued fractions

Lee, J., Mc Laughlin, J. & Sohn, J., 2017 Mar 15, In : Journal of Mathematical Analysis and Applications. 447, 2, p. 1126-1141 16 p.

Research output: Contribution to journalArticle

Continued fraction
Continued Fraction Expansion
Ramanujan
Numerator
Infinite product
2016
2 Citations (Scopus)

Three different ways to obtain the values of hyper m-ary partition functions

Eom, J., Jeong, G. & Sohn, J., 2016 Jan 1, In : Bulletin of the Korean Mathematical Society. 53, 6, p. 1857-1868 12 p.

Research output: Contribution to journalArticle

Partition Function
Recurrence
Partition
Calculate
Generalization
2015
1 Citation (Scopus)

Finite and infinite Rogers-Ramanujan continued fractions in Ramanujan's lost notebook

Berndt, B. C., Kang, S. Y. & Sohn, J., 2015 Mar 1, In : Journal of Number Theory. 148, p. 112-120 9 p.

Research output: Contribution to journalArticle

Ramanujan's Lost Notebook
Ramanujan
Continued fraction
2011
5 Citations (Scopus)

Character analogues of theorems of Ramanujan, Koshliakov and Guinand

Berndt, B. C., Dixit, A. & Sohn, J., 2011 Jan 1, In : Advances in Applied Mathematics. 46, 1-4, p. 54-70 17 p.

Research output: Contribution to journalArticle

Sum of divisors
Divisor Function
Modified Bessel Functions
Transformation Formula
Bessel functions
2005
6 Citations (Scopus)

Continued fractions with three limit points

Andrews, G. E., Berndt, B. C., Sohn, J., Yee, A. J. & Zaharescu, A., 2005 Apr 1, In : Advances in Mathematics. 192, 2, p. 231-258 28 p.

Research output: Contribution to journalArticle

Limit Point
Ramanujan
Continued fraction
Ramanujan's Lost Notebook
Assertion
2 Citations (Scopus)

Some continued fractions in Ramanujan's lost notebook

Lee, J. & Sohn, J., 2005 Sep 1, In : Monatshefte fur Mathematik. 146, 1, p. 37-48 12 p.

Research output: Contribution to journalArticle

Ramanujan's Lost Notebook
Continued fraction
Ramanujan
Equivalent fractions
Odd
2 Citations (Scopus)

The continuous symmetric Hahn polynomials found in Ramanujan's lost notebook

Kang, S. Y., Lim, S. G. & Sohn, J., 2005 Jul 1, In : Journal of Mathematical Analysis and Applications. 307, 1, p. 153-166 14 p.

Research output: Contribution to journalArticle

Ramanujan's Lost Notebook
Hahn Polynomials
Symmetric Polynomials
Weight Function
Polynomials
2003
11 Citations (Scopus)

On Ramanujan's continued fraction for (q2;q3)(q; q3)

Andrews, G. E., Berndt, B. C., Sohn, J., Yee, A. J. & Zaharescu, A., 2003 Jun, In : Transactions of the American Mathematical Society. 355, 6, p. 2397-2411 15 p.

Research output: Contribution to journalArticle

Ramanujan
Continued fraction
Asymptotic Formula
Ramanujan's Lost Notebook
2002
4 Citations (Scopus)

Asymptotic formulas for two continued fractions in Ramanujan's lost notebook

Berndt, B. C. & Sohn, J., 2002 Jan 1, In : Journal of the London Mathematical Society. 65, 2, p. 271-284 14 p.

Research output: Contribution to journalArticle

Ramanujan's Lost Notebook
Continued fraction
Asymptotic Formula
Dirichlet L-function
Ramanujan
2000
15 Citations (Scopus)

Eisenstein series in Ramanujan's lost notebook

Berndt, B. C., Chan, H. H., Sohn, J. & Son, S. H., 2000 Jan 1, In : Ramanujan Journal. 4, 1, p. 81-114 34 p.

Research output: Contribution to journalArticle

Ramanujan's Lost Notebook
Eisenstein Series
Ramanujan
Dedekind eta Function
Modular Forms
18 Citations (Scopus)

Some theorems on the ro gers-ramanujan continued fraction in Ramanujan's lost notebook

Berndt, B. C., Huang, S. S., Sohn, J. & Son, S. H., 2000 Dec 1, In : Transactions of the American Mathematical Society. 352, 5, p. 2157-2177 21 p.

Research output: Contribution to journalArticle

Ramanujan's Lost Notebook
Ramanujan
Continued fraction
Theorem
Modular Equations
1999
21 Citations (Scopus)

The Rogers-Ramanujan continued fraction

Berndt, B. C., Chan, H. H., Huang, S. S., Kang, S. Y., Sohn, J. & Son, S. H., 1999 May 31, In : Journal of Computational and Applied Mathematics. 105, 1-2, p. 9-24 16 p.

Research output: Contribution to journalArticle

Ramanujan's Lost Notebook
Ramanujan
Continued fraction
Theorem