SC
Shane Chern
math.NTmath.COcs.DMmath.PRhep-thmath.AGmath.MPmath-phatomic distancesCO
2 reduction
On Valency
published · living versionsW_azxeswr3·v1 · currentpublished
The bivariate generating function for cylindric partitions of rank three
with Trieu Nguyen, Chanh Tran, Tanay Wakhare
1 version
Preprints & journals
84 papers in the corpus · 2014–2026Strong -log-convexity of the -Hoggatt polynomials2609.33732v1 · Shane Chern, Wenle Shi2026 · 0 citationsarXiv
On the occurrence of congruence multiplicities between Ramanujan's theta functions2609.02592v1 · Shane Chern, Nicolas Allen Smoot, Dazhao Tang2026 · 0 citationsarXiv
Hankel determinants of Catalan-like sequences2608.27208v1 · Shane Chern, Wenle Shi2026 · 0 citationsarXiv
New central -binomial identities2608.05498v1 · Shane Chern, Karl Dilcher, Lin Jiu2026 · 0 citationsarXiv
Convolutive sequences, II: Parametrizations2608.01136v1 · Shane Chern, Dennis Eichhorn, Shishuo Fu et al.2026 · 0 citationsarXiv
Tadpole Nahm sum as a Wronskian2607.22904v1 · Shane Chern, Chanh Tran, Tanay Wakhare2026 · 0 citationsarXiv
Linked partition ideals and Russell's three-colored partitions2607.03977v1 · Shane Chern2026 · 0 citationsarXiv
Proof of Cigler's conjecture on -Hoggatt numbers2606.26950v1 · Shane Chern, Wenle Shi2026 · 0 citationsarXiv
Finite Kleshchev bipartitions and -trinomial coefficients2606.01337v1 · Shane Chern2026 · 0 citationsarXiv
On conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theories2605.02251v2 · Shane Chern, Chanh Tran, Tanay Wakhare2026 · 0 citationsarXiv
More minor summation formulae2603.21021v1 · Shane Chern, Theresia Eisenkolbl, Ilse Fischer et al.2026 · 0 citationsarXiv
Proof of the Andrews-El Bachraoui positivity conjecture2601.19845v1 · Shane Chern, Chun Wang2026 · 0 citationsarXiv
Multiple Rogers-Ramanujan type identities for inert quadratic orders2511.09452v1 · Shane Chern, Yifeng Huang2025 · 0 citationsarXiv
Asymptotics for the Enumeration of Commuting Matrices over Finite Fields2509.16178v2 · Kathrin Bringmann, Shane Chern, Johann Franke et al.2025 · 0 citationsSIGMA 22 (2026), 016, 8 pages
Signed counting of partition matrices2508.21318v2 · Shane Chern, Shishuo Fu2025 · 0 citationsarXiv
Domino tilings, nonintersecting lattice paths and subclasses of Koutschan-Krattenthaler-Schlosser determinants2507.15665v2 · Qipin Chen, Shane Chern, Atsuro Yoshida2025 · 0 citationsarXiv
Asymptotics for moments of the minimal partition excludant in congruence classes2507.14431v1 · Shane Chern, Ernest X.W. Xia2025 · 0 citationsarXiv
Convolutive sequences, I: Through the lens of integer partition functions2507.10965v2 · Shane Chern, Dennis Eichhorn, Shishuo Fu et al.2025 · 0 citationsarXiv
A probabilistic proof of Euler's pentagonal number theorem2501.03134v3 · Shane Chern2025 · 0 citationsSeminaire Lotharingien de Combinatoire 92 (2025), Article B92c
Multiple Rogers--Ramanujan type identities for torus links2411.07198v1 · Shane Chern2024 · 0 citationsarXiv
Juhl type formulas for curved Ovsienko--Redou operators2407.12280v1 · Shane Chern, Zetian Yan2024 · 0 citationsarXiv
Multi-headed lattices and Green functions2405.20294v1 · Qipin Chen, Shane Chern, Lin Jiu2024 · 0 citationsarXiv
q-Identities for parafermion theories2403.03464v2 · Peter Bouwknegt, Shane Chern, Bolin Han2024 · 0 citationsarXiv
Leading coefficient in the Hankel determinants related to binomial and -binomial transforms2401.17220v1 · Shane Chern, Lin Jiu, Shuhan Li et al.2024 · 0 citationsarXiv
A central limit theorem for a card shuffling problem2309.08841v1 · Shane Chern, Lin Jiu, Italo Simonelli2023 · 0 citationsarXiv
Ramanujan's theta functions and internal congruences modulo arbitrary powers of 2309.06689v1 · Shane Chern, Dazhao Tang2023 · 2 citationsarXiv
Elementary Proofs of Arithmetic Properties for Schur-Type Overpartitions Modulo Small Powers of 22308.06425v1 · Shane Chern, Robson da Silva, James A. Sellers2023 · 1 citationarXiv
An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands2308.04348v1 · Shane Chern, James A. Sellers2023 · 4 citationsActa Arithmetica 215, no. 1 (2024), 43-64
Hitting a prime by rolling a die with infinitely many faces2306.14073v1 · Shane Chern2023 · 1 citationarXiv
Hankel determinants and Jacobi continued fractions for -Euler numbers2305.06623v2 · Shane Chern, Lin Jiu2023 · 1 citationarXiv
Inter-Metal Interaction with a Threshold Effect in NiCu Dual-Atom Catalysts for CO2 Electroreduction.36433641 · Yao, Dazhi, Tang, Cheng, Zhi, Xing et al.2023 · 195 citationsAdvanced materials (Deerfield Beach, Fla.). 2023;35(11):e2209386
Linked partition ideals and a family of quadruple summations2301.11137v1 · George E. Andrews, Shane Chern2023 · 4 citationsarXiv
Burstein's permutation conjecture, Hong and Li's inversion sequence conjecture, and restricted Eulerian distributions2209.12137v1 · Shane Chern, Shishuo Fu, Zhicong Lin2022 · 3 citationsarXiv
The Ariki--Koike algebras and Rogers--Ramanujan type partitions2209.07713v1 · Shane Chern, Zhitai Li, Dennis Stanton et al.2022 · 2 citationsJ. Algebr. Comb. 60 (2024), no. 2, 491-540
General coefficient-vanishing results associated with theta series2208.09882v2 · Shane Chern, Dazhao Tang2022 · 4 citationsAdvances in Applied Mathematics, 2024
Asymmetric Rogers--Ramanujan type identities. I. The Andrews--Uncu Conjecture2203.15168v1 · Shane Chern2022 · 3 citationsarXiv
Parity considerations for drops in cycles on 2112.02074v1 · Shane Chern2021 · 0 citationsarXiv
Linked partition ideals and the Alladi--Schur theorem2110.13247v1 · George E. Andrews, Shane Chern, Zhitai Li2021 · 9 citationsarXiv
On a congruence involving harmonic series and Bernoulli numbers2110.09629v1 · Shane Chern2021 · 1 citationarXiv
Reciprocity between partitions and compositions2108.04363v1 · George Beck, Shane Chern2021 · 0 citationsarXiv
On the -measure of partitions and distinct partitions2105.01758v1 · George E. Andrews, Shane Chern, Zhitai Li2021 · 1 citationarXiv
Linked partition ideals and Euclidean billiard partitions2012.14485v2 · Shane Chern2020 · 3 citationsarXiv
On 0012-avoiding inversion sequences and a Conjecture of Lin and Ma2006.04318v1 · Shane Chern2020 · 8 citationsarXiv
5-Dissections and sign patterns of Ramanujan's parameter and its companion2003.12706v2 · Shane Chern, Dazhao Tang2020 · 5 citationsarXiv
Vanishing coefficients in several -series expansions related to the Rogers--Ramanujan continued fraction2003.12707v1 · Shane Chern, Dazhao Tang2020 · 0 citationsarXiv
Nonmodular infinite products and a conjecture of Seo and Yee1912.10341v2 · Shane Chern2019 · 5 citationsAdv. Math. 417 (2023), Paper No. 108932
Linked partition ideals, directed graphs and -multi-summations1907.06363v1 · Shane Chern2019 · 10 citationsarXiv
Partitions and the maximal excludant1905.06304v1 · Shane Chern2019 · 8 citationsarXiv
Asymptotics for the Taylor coefficients of certain infinite products1902.10839v2 · Shane Chern2019 · 6 citationsarXiv
Linked partition ideals and Kanade--Russell conjectures1809.08655v3 · Shane Chern, Zhitai Li2018 · 18 citationsDiscrete Math. 343 (2020), no. 7, 111876
Career total: 134 works. 84 are in this corpus.Showing the 50 most recent.
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