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

  • 101 Citations
  • 6 h-Index
  • 14 Article
  • 1 Chapter
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
2008
13 Citations (Scopus)

Koshliakov's formula and Guinand's formula in Ramanujan's lost notebook

Berndt, B. C., Lee, Y. & Sohn, J., 2008 Dec 1, SURVEYS IN NUMBER THEORY. ALLADI, KRISHNASWAMI. (ed.). p. 21-42 22 p. (Developments in Mathematics; vol. 17).

Research output: Chapter in Book/Report/Conference proceedingChapter

Ramanujan's Lost Notebook
Ramanujan
Modified Bessel Functions
Eisenstein Series
Functional equation
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