Shane Chern (陈小航, Xiaohang Chen)

About Shane Chern (陈小航, Xiaohang Chen)

Shane Chern (陈小航, Xiaohang Chen), With an exceptional h-index of 12 and a recent h-index of 11 (since 2020), a distinguished researcher at Penn State University, specializes in the field of Number Theory, Combinatorics, Partitions, q-Series, Special Functions.

His recent articles reflect a diverse array of research interests and contributions to the field:

Two conjectures of Andrews, Merca and Yee on truncated theta series

q-Rious identities for parafermion theories

Leading coefficient in the Hankel determinants related to binomial and -binomial transforms

Hitting a prime by rolling a die with infinitely many faces

-Log-concavity and -unimodality of Gaussian polynomials and a problem of Andrews and Newman

Correction to: Some inequalities for k-colored partition functions

A central limit theorem for a card shuffling problem

On 0012-avoiding inversion sequences and a conjecture of Lin and Ma

Shane Chern (陈小航, Xiaohang Chen) Information

University

Position

___

Citations(all)

533

Citations(since 2020)

493

Cited By

164

hIndex(all)

12

hIndex(since 2020)

11

i10Index(all)

16

i10Index(since 2020)

15

Email

University Profile Page

Google Scholar

Shane Chern (陈小航, Xiaohang Chen) Skills & Research Interests

Number Theory

Combinatorics

Partitions

q-Series

Special Functions

Top articles of Shane Chern (陈小航, Xiaohang Chen)

Title

Journal

Author(s)

Publication Date

Two conjectures of Andrews, Merca and Yee on truncated theta series

Journal of Combinatorial Theory, Series A

Shane Chern

Ernest XW Xia

2024/8/1

q-Rious identities for parafermion theories

arXiv preprint arXiv:2403.03464

Peter Bouwknegt

Shane Chern

Bolin Han

2024/3/6

Leading coefficient in the Hankel determinants related to binomial and -binomial transforms

arXiv preprint arXiv:2401.17220

Shane Chern

Lin Jiu

Shuhan Li

Liuquan Wang

2024/1/30

Hitting a prime by rolling a die with infinitely many faces

The American Statistician

Shane Chern

2024/1/3

-Log-concavity and -unimodality of Gaussian polynomials and a problem of Andrews and Newman

Proceedings of the Japan Academy, Series A, Mathematical Sciences

Shane Chern

2023/5

Correction to: Some inequalities for k-colored partition functions

The Ramanujan Journal

Shane Chern

Shishuo Fu

Dazhao Tang

2023/7/18

A central limit theorem for a card shuffling problem

arXiv preprint arXiv:2309.08841

Shane Chern

Lin Jiu

Italo Simonelli

2023/9/16

On 0012-avoiding inversion sequences and a conjecture of Lin and Ma

Quaestiones Mathematicae

Shane Chern

2023/4/3

Linked partition ideals and a family of quadruple summations

Journal of Combinatorial Theory, Series A

George E Andrews

Shane Chern

2023/11/1

Ramanujan's theta functions and internal congruences modulo arbitrary powers of

arXiv preprint arXiv:2309.06689

Shane Chern

Dazhao Tang

2023/9/13

Nonmodular infinite products and a Conjecture of Seo and Yee

Advances in Mathematics

Shane Chern

2023/3/15

Nearly self-conjugate integer partitions

New Zealand Journal of Mathematics

John Campbell

Shane Chern

2023/6/25

Elementary Proofs of Arithmetic Properties for Schur-Type Overpartitions Modulo Small Powers of 2

arXiv preprint arXiv:2308.06425

Shane Chern

Robson da Silva

James A Sellers

2023/8/12

Linked partition ideals and Euclidean billiard partitions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Shane Chern

2023/6/16

An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands

arXiv preprint arXiv:2308.04348

Shane Chern

James A Sellers

2023/8/8

Hankel determinants and Jacobi continued fractions for -Euler numbers

arXiv preprint arXiv:2305.06623

Shane Chern

Lin Jiu

2023/5/11

Asymmetric Rogers–Ramanujan type identities. I. The Andrews–Uncu conjecture

Proceedings of the American Mathematical Society

Shane Chern

2023/8

Burstein’s permutation conjecture, Hong and Li’s inversion sequence conjecture and restricted Eulerian distributions

Proceedings of the Edinburgh Mathematical Society

Shane Chern

Shishuo Fu

Zhicong Lin

2023/11

Diagonal hooks and a Schmidt-type partition identity

The Electronic Journal of Combinatorics

Shane Chern

Ae Ja Yee

2022/4/22

On a congruence involving harmonic series and Bernoulli numbers

International Journal of Number Theory

Shane Chern

2022/9/25

See List of Professors in Shane Chern (陈小航, Xiaohang Chen) University(Penn State University)

Co-Authors

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