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Shane Chern
General coefficient-vanishing results associated with theta series
4 days ago by
Shane Chern
and
Dazhao Tang
Number Theory
Juhl type formulas for curved Ovsienko--Redou operators
17 July 2024 by
Shane Chern
and
Zetian Yan
Differential Geometry
,
Combinatorics
Multi-headed lattices and Green functions
30 May 2024 by
Qipin Chen
and
others
Combinatorics
,
Mathematical Physics
q-Identities for parafermion theories
28 May 2024 by
Peter Bouwknegt
and
others
High Energy Physics
,
Mathematical Physics
Leading coefficient in the Hankel determinants related to binomial and
$q$
-binomial transforms
30 January 2024 by
Shane Chern
and
others
Number Theory
,
Combinatorics
A central limit theorem for a card shuffling problem
16 September 2023 by
Shane Chern
and
others
Probability
Ramanujan's theta functions and internal congruences modulo arbitrary powers of
$3$
13 September 2023 by
Shane Chern
and
Dazhao Tang
Number Theory
Elementary Proofs of Arithmetic Properties for Schur-Type Overpartitions Modulo Small Powers of 2
12 August 2023 by
Shane Chern
and
others
Number Theory
An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands
8 August 2023 by
Shane Chern
and
James Sellers
Number Theory
Hitting a prime by rolling a die with infinitely many faces
24 June 2023 by
Shane Chern
Number Theory
,
Probability
Hankel determinants and Jacobi continued fractions for
$q$
-Euler numbers
15 May 2023 by
Shane Chern
and
Lin Jiu
Number Theory
Nonmodular infinite products and a conjecture of Seo and Yee
24 February 2023 by
Shane Chern
Number Theory
,
Combinatorics
Linked partition ideals and a family of quadruple summations
26 January 2023 by
George Andrews
and
Shane Chern
Combinatorics
,
Number Theory
Linked partition ideals and Euclidean billiard partitions
18 December 2022 by
Shane Chern
Combinatorics
,
Number Theory
Burstein's permutation conjecture, Hong and Li's inversion sequence conjecture, and restricted Eulerian distributions
25 September 2022 by
Shane Chern
and
others
Combinatorics
,
Discrete Mathematics
The Ariki--Koike algebras and Rogers--Ramanujan type partitions
16 September 2022 by
Shane Chern
and
others
Combinatorics
,
Group Theory
Asymmetric Rogers--Ramanujan type identities. I. The Andrews--Uncu Conjecture
29 March 2022 by
Shane Chern
Number Theory
Parity considerations for drops in cycles on
$\{1,2,\ldots,n\}$
3 December 2021 by
Shane Chern
Combinatorics
Linked partition ideals and the Alladi--Schur theorem
25 October 2021 by
George Andrews
and
others
Combinatorics
,
Number Theory
On a congruence involving harmonic series and Bernoulli numbers
18 October 2021 by
Shane Chern
Number Theory
Reciprocity between partitions and compositions
9 August 2021 by
George Beck
and
Shane Chern
Combinatorics
,
Number Theory
On the
$k$
-measure of partitions and distinct partitions
4 May 2021 by
George Andrews
and
others
Combinatorics
,
Number Theory
5-Dissections and sign patterns of Ramanujan's parameter and its companion
25 June 2020 by
Shane Chern
and
Dazhao Tang
Combinatorics
,
Number Theory
On 0012-avoiding inversion sequences and a Conjecture of Lin and Ma
8 June 2020 by
Shane Chern
Combinatorics
Vanishing coefficients in several
$q$
-series expansions related to the Rogers--Ramanujan continued fraction
28 March 2020 by
Shane Chern
and
Dazhao Tang
Combinatorics
,
Number Theory
1-Shell totally symmetric plane partitions (TSPPs) modulo powers of 5
26 March 2020 by
Shane Chern
Number Theory
,
Combinatorics
Asymptotics for the Taylor coefficients of certain infinite products
21 December 2019 by
Shane Chern
Number Theory
Linked partition ideals, directed graphs and
$q$
-multi-summations
15 July 2019 by
Shane Chern
Combinatorics
Partitions and the maximal excludant
15 May 2019 by
Shane Chern
Combinatorics
Note on sums involving the Euler function
11 December 2018 by
Shane Chern
Number Theory
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