×
Author ID: chern.shane Recent zbMATH articles by "Chern, Shane"
Published as: Chern, Shane; Shane, Chern; Chern, S.
Further Spellings: Chen, Xiaohang
Homepage: https://shanechern.github.io/
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp
Documents Indexed: 91 Publications since 2014, including 14 Additional arXiv Preprints
Reviewing Activity: 14 Reviews
Co-Authors: 33 Co-Authors with 47 Joint Publications
629 Co-Co-Authors
all top 5

Serials

14 The Ramanujan Journal
6 International Journal of Number Theory
4 Bulletin of the Australian Mathematical Society
3 Discrete Mathematics
3 Journal of Combinatorial Theory. Series A
3 The Electronic Journal of Combinatorics
3 Integers
2 Journal of Mathematical Analysis and Applications
2 Rocky Mountain Journal of Mathematics
2 Acta Arithmetica
2 Journal of Number Theory
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the Japan Academy. Series A
2 Quaestiones Mathematicae
2 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
2 New Zealand Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Advances in Mathematics
1 Czechoslovak Mathematical Journal
1 The Fibonacci Quarterly
1 Functiones et Approximatio. Commentarii Mathematici
1 Proceedings of the American Mathematical Society
1 European Journal of Combinatorics
1 Bulletin of the Korean Mathematical Society
1 Advances in Mathematics (Beijing)
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Integral Transforms and Special Functions
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Acta Mathematica Sinica. English Series
1 Forum Geometricorum
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Review of Derivatives Research
1 Acta Mathematica Sinica. Chinese Series
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Afrika Matematika
1 Algebraic Combinatorics

Publications by Year

Citations contained in zbMATH Open

62 Publications have been cited 261 times in 193 Documents Cited by Year
Weighted partition rank and Crank moments. III. A list of Andrews-Beck type congruences modulo \(5, 7, 11\) and \(13\). Zbl 1491.11095
Chern, Shane
17
2022
Some inequalities for \(k\)-colored partition functions. Zbl 1395.05018
Chern, Shane; Fu, Shishuo; Tang, Dazhao
13
2018
Linked partition ideals and kanade-Russell conjectures. Zbl 1440.05021
Chern, Shane; Li, Zhitai
9
2020
Weighted partition rank and crank moments. II: Odd-order moments. Zbl 1486.11127
Chern, Shane
9
2022
Asymptotics for the Fourier coefficients of eta-quotients. Zbl 1459.11200
Chern, Shane
8
2019
Congruences and recursions for the cubic partition. Zbl 1432.11145
Chern, Shane; Dastidar, Manosij Ghosh
8
2017
New congruences for 2-color partitions. Zbl 1408.11102
Chern, Shane
8
2016
Integral right triangle and rhombus pairs with a common area and a common perimeter. Zbl 1335.51021
Chern, Shane
8
2016
Vanishing coefficients in quotients of theta functions of modulus five. Zbl 1475.11073
Chern, Shane; Tang, Dazhao
8
2020
A further look at the truncated pentagonal number theorem. Zbl 1455.11134
Chern, Shane
7
2019
The Rogers-Ramanujan continued fraction and related eta-quotient representations. Zbl 1466.11075
Chern, Shane; Tang, Dazhao
7
2021
A proof of Lin’s conjecture on inversion sequences avoiding patterns of relation triples. Zbl 1457.05003
Andrews, George E.; Chern, Shane
7
2021
Linked partition ideals, directed graphs and \(q\)-multi-summations. Zbl 1452.11126
Chern, Shane
6
2020
On 0012-avoiding inversion sequences and a conjecture of Lin and Ma. Zbl 1522.05004
Chern, Shane
6
2023
Formulas for partition \(k\)-tuples with \(t\)-cores. Zbl 1331.05031
Chern, Shane
6
2016
On the power mean of a sum analogous to the Kloosterman sum. Zbl 1463.11136
Chern, Shane
5
2019
Partitions into distinct parts modulo powers of 5. Zbl 1506.11131
Chern, Shane; Hirschhorn, Michael D.
5
2019
Congruences for two restricted overpartitions. Zbl 1443.11218
Chern, Shane; Hao, Li-Jun
5
2019
Consistent pricing of VIX and equity derivatives with the \(4/2\) stochastic volatility plus jumps model. Zbl 1349.91279
Lin, Wei; Li, Shenghong; Luo, Xingguo; Chern, Shane
5
2017
Fibonacci numbers close to a power of 2. Zbl 1384.11020
Chern, Shane; Cui, Alvin
5
2014
Some \(q\)-transformation formulas and Hecke type identities. Zbl 1423.33026
Wang, Chun; Chern, Shane
5
2019
An overpartition analogue of partitions with bounded differences between largest and smallest parts. Zbl 1370.05015
Chern, Shane
5
2017
Some congruences modulo 5 and 25 for overpartitions. Zbl 1465.11198
Chern, Shane; Dastidar, Manosij Ghosh
4
2018
Note on sums involving the Euler function. Zbl 1454.11010
Chern, Shane
4
2019
Arithmetic properties for cubic partition pairs modulo powers of 3. Zbl 1378.11088
Chern, Shane
4
2017
On a conjecture of George Beck. Zbl 1430.11143
Chern, Shane
4
2018
Overpartitions with bounded part differences. Zbl 1384.05038
Chern, Shane; Yee, Ae Ja
4
2018
Asymptotics for the Taylor coefficients of certain infinite products. Zbl 1482.11136
Chern, Shane
4
2021
A curious identity and its applications to partitions with bounded part differences. Zbl 1372.05011
Chern, Shane
4
2017
Vanishing coefficients and identities concerning Ramanujan’s parameters. Zbl 1492.11090
Chern, Shane; Tang, Dazhao
4
2022
Linked partition ideals and the Alladi-Schur theorem. Zbl 1491.11090
Andrews, George E.; Chern, Shane; Li, Zhitai
4
2022
Congruences for partition functions related to mock theta functions. Zbl 1452.11124
Chern, Shane; Hao, Li-Jun
3
2019
New congruences for \(\ell\)-regular overpartitions. Zbl 1412.11133
Chern, Shane
3
2017
New infinite families of congruences for the number of tagged parts over partitions with designated summands. Zbl 1435.11134
Adansie, Prince; Chern, Shane; Xia, Ernest X. W.
3
2018
Some inequalities for Garvan’s bicrank function of 2-colored partitions. Zbl 1419.05023
Chern, Shane; Tang, Dazhao; Wang, Liuquan
3
2019
1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5. Zbl 1479.11179
Chern, Shane
3
2021
Partitions and the maximal excludant. Zbl 1467.05018
Chern, Shane
3
2021
5-dissections and sign patterns of Ramanujan’s parameter and its companion. Zbl 07442477
Chern, Shane; Tang, Dazhao
3
2021
Further results on biases in integer partitions. Zbl 1483.05007
Chern, Shane
3
2022
Linked partition ideals and Andrews-Gordon type series for Alladi and Gordon’s extension of Schur’s identity. Zbl 1506.05019
Chern, Shane
3
2022
Nonmodular infinite products and a conjecture of Seo and Yee. Zbl 1523.11184
Chern, Shane
3
2023
On certain weighted 7-colored partitions. Zbl 1443.11219
Chern, Shane; Tang, Dazhao
2
2019
Congruences for 1-shell totally symmetric plane partitions. Zbl 1412.11132
Chern, Shane
2
2017
Arithmetic properties for 7-regular partition triples. Zbl 1448.05010
Chern, Shane; Tang, Dazhao; Xia, Ernest X. W.
2
2020
Multi-dimensional \(q\)-summations and multi-colored partitions. Zbl 1434.05011
Chern, Shane; Fu, Shishuo; Tang, Dazhao
2
2020
An extension of a formula of Jovovic. Zbl 1472.11078
Chern, Shane
2
2019
Asymmetric Rogers-Ramanujan type identities. I: The Andrews-Uncu conjecture. Zbl 1523.11188
Chern, Shane
2
2023
On a problem of George Andrews concerning partitions with even parts below odd parts. Zbl 1438.05008
Chern, Shane
2
2019
Combinatorial proof of an identity of Andrews and Yee. Zbl 1418.05021
Chern, Shane
2
2019
Some basic hypergeometric transformations and Rogers-Ramanujan type identities. Zbl 1465.33012
Wang, Chun; Chern, Shane
2
2020
Some results concerning partitions with designated summands. Zbl 1468.11215
Chern, Shane; Hirschhorn, Michael D.
2
2021
Diagonal hooks and a Schmidt-type partition identity. Zbl 1492.11146
Chern, Shane; Yee, Ae Ja
2
2022
On the \(k\)-measure of partitions and distinct partitions. Zbl 1508.11101
Andrews, George E.; Chern, Shane; Li, Zhitai
2
2022
Unlimited parity alternating partitions. Zbl 1427.11104
Chern, Shane
1
2019
A congruence involving the quotients of Euler and its applications. III. Zbl 1449.11038
Cai, Tianxin; Zhong, Hao; Chern, Shane
1
2019
Note on the truncated generalizations of Gauss’s square exponent theorem. Zbl 1454.11044
Chern, Shane
1
2018
Distribution of reducible polynomials with a given coefficient set. Zbl 1389.11072
Chern, Shane
1
2017
Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers. Zbl 1477.11065
Bian, Min; Chern, Shane; Sang, Doris D. M.; Xia, Ernest X. W.
1
2020
Note on square-root partitions into distinct parts. Zbl 1468.11213
Chern, Shane
1
2021
Note on partitions with even parts below odd parts. Zbl 1485.11146
Chern, S.
1
2021
Parity considerations for drops in cycles on \(\{1,2,\dots,n\}\). Zbl 1490.05010
Chern, Shane
1
2022
Linked partition ideals and a Schur-type identity of Andrews. Zbl 1519.11057
Chern, Shane
1
2022
On 0012-avoiding inversion sequences and a conjecture of Lin and Ma. Zbl 1522.05004
Chern, Shane
6
2023
Nonmodular infinite products and a conjecture of Seo and Yee. Zbl 1523.11184
Chern, Shane
3
2023
Asymmetric Rogers-Ramanujan type identities. I: The Andrews-Uncu conjecture. Zbl 1523.11188
Chern, Shane
2
2023
Weighted partition rank and Crank moments. III. A list of Andrews-Beck type congruences modulo \(5, 7, 11\) and \(13\). Zbl 1491.11095
Chern, Shane
17
2022
Weighted partition rank and crank moments. II: Odd-order moments. Zbl 1486.11127
Chern, Shane
9
2022
Vanishing coefficients and identities concerning Ramanujan’s parameters. Zbl 1492.11090
Chern, Shane; Tang, Dazhao
4
2022
Linked partition ideals and the Alladi-Schur theorem. Zbl 1491.11090
Andrews, George E.; Chern, Shane; Li, Zhitai
4
2022
Further results on biases in integer partitions. Zbl 1483.05007
Chern, Shane
3
2022
Linked partition ideals and Andrews-Gordon type series for Alladi and Gordon’s extension of Schur’s identity. Zbl 1506.05019
Chern, Shane
3
2022
Diagonal hooks and a Schmidt-type partition identity. Zbl 1492.11146
Chern, Shane; Yee, Ae Ja
2
2022
On the \(k\)-measure of partitions and distinct partitions. Zbl 1508.11101
Andrews, George E.; Chern, Shane; Li, Zhitai
2
2022
Parity considerations for drops in cycles on \(\{1,2,\dots,n\}\). Zbl 1490.05010
Chern, Shane
1
2022
Linked partition ideals and a Schur-type identity of Andrews. Zbl 1519.11057
Chern, Shane
1
2022
The Rogers-Ramanujan continued fraction and related eta-quotient representations. Zbl 1466.11075
Chern, Shane; Tang, Dazhao
7
2021
A proof of Lin’s conjecture on inversion sequences avoiding patterns of relation triples. Zbl 1457.05003
Andrews, George E.; Chern, Shane
7
2021
Asymptotics for the Taylor coefficients of certain infinite products. Zbl 1482.11136
Chern, Shane
4
2021
1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5. Zbl 1479.11179
Chern, Shane
3
2021
Partitions and the maximal excludant. Zbl 1467.05018
Chern, Shane
3
2021
5-dissections and sign patterns of Ramanujan’s parameter and its companion. Zbl 07442477
Chern, Shane; Tang, Dazhao
3
2021
Some results concerning partitions with designated summands. Zbl 1468.11215
Chern, Shane; Hirschhorn, Michael D.
2
2021
Note on square-root partitions into distinct parts. Zbl 1468.11213
Chern, Shane
1
2021
Note on partitions with even parts below odd parts. Zbl 1485.11146
Chern, S.
1
2021
Linked partition ideals and kanade-Russell conjectures. Zbl 1440.05021
Chern, Shane; Li, Zhitai
9
2020
Vanishing coefficients in quotients of theta functions of modulus five. Zbl 1475.11073
Chern, Shane; Tang, Dazhao
8
2020
Linked partition ideals, directed graphs and \(q\)-multi-summations. Zbl 1452.11126
Chern, Shane
6
2020
Arithmetic properties for 7-regular partition triples. Zbl 1448.05010
Chern, Shane; Tang, Dazhao; Xia, Ernest X. W.
2
2020
Multi-dimensional \(q\)-summations and multi-colored partitions. Zbl 1434.05011
Chern, Shane; Fu, Shishuo; Tang, Dazhao
2
2020
Some basic hypergeometric transformations and Rogers-Ramanujan type identities. Zbl 1465.33012
Wang, Chun; Chern, Shane
2
2020
Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers. Zbl 1477.11065
Bian, Min; Chern, Shane; Sang, Doris D. M.; Xia, Ernest X. W.
1
2020
Asymptotics for the Fourier coefficients of eta-quotients. Zbl 1459.11200
Chern, Shane
8
2019
A further look at the truncated pentagonal number theorem. Zbl 1455.11134
Chern, Shane
7
2019
On the power mean of a sum analogous to the Kloosterman sum. Zbl 1463.11136
Chern, Shane
5
2019
Partitions into distinct parts modulo powers of 5. Zbl 1506.11131
Chern, Shane; Hirschhorn, Michael D.
5
2019
Congruences for two restricted overpartitions. Zbl 1443.11218
Chern, Shane; Hao, Li-Jun
5
2019
Some \(q\)-transformation formulas and Hecke type identities. Zbl 1423.33026
Wang, Chun; Chern, Shane
5
2019
Note on sums involving the Euler function. Zbl 1454.11010
Chern, Shane
4
2019
Congruences for partition functions related to mock theta functions. Zbl 1452.11124
Chern, Shane; Hao, Li-Jun
3
2019
Some inequalities for Garvan’s bicrank function of 2-colored partitions. Zbl 1419.05023
Chern, Shane; Tang, Dazhao; Wang, Liuquan
3
2019
On certain weighted 7-colored partitions. Zbl 1443.11219
Chern, Shane; Tang, Dazhao
2
2019
An extension of a formula of Jovovic. Zbl 1472.11078
Chern, Shane
2
2019
On a problem of George Andrews concerning partitions with even parts below odd parts. Zbl 1438.05008
Chern, Shane
2
2019
Combinatorial proof of an identity of Andrews and Yee. Zbl 1418.05021
Chern, Shane
2
2019
Unlimited parity alternating partitions. Zbl 1427.11104
Chern, Shane
1
2019
A congruence involving the quotients of Euler and its applications. III. Zbl 1449.11038
Cai, Tianxin; Zhong, Hao; Chern, Shane
1
2019
Some inequalities for \(k\)-colored partition functions. Zbl 1395.05018
Chern, Shane; Fu, Shishuo; Tang, Dazhao
13
2018
Some congruences modulo 5 and 25 for overpartitions. Zbl 1465.11198
Chern, Shane; Dastidar, Manosij Ghosh
4
2018
On a conjecture of George Beck. Zbl 1430.11143
Chern, Shane
4
2018
Overpartitions with bounded part differences. Zbl 1384.05038
Chern, Shane; Yee, Ae Ja
4
2018
New infinite families of congruences for the number of tagged parts over partitions with designated summands. Zbl 1435.11134
Adansie, Prince; Chern, Shane; Xia, Ernest X. W.
3
2018
Note on the truncated generalizations of Gauss’s square exponent theorem. Zbl 1454.11044
Chern, Shane
1
2018
Congruences and recursions for the cubic partition. Zbl 1432.11145
Chern, Shane; Dastidar, Manosij Ghosh
8
2017
Consistent pricing of VIX and equity derivatives with the \(4/2\) stochastic volatility plus jumps model. Zbl 1349.91279
Lin, Wei; Li, Shenghong; Luo, Xingguo; Chern, Shane
5
2017
An overpartition analogue of partitions with bounded differences between largest and smallest parts. Zbl 1370.05015
Chern, Shane
5
2017
Arithmetic properties for cubic partition pairs modulo powers of 3. Zbl 1378.11088
Chern, Shane
4
2017
A curious identity and its applications to partitions with bounded part differences. Zbl 1372.05011
Chern, Shane
4
2017
New congruences for \(\ell\)-regular overpartitions. Zbl 1412.11133
Chern, Shane
3
2017
Congruences for 1-shell totally symmetric plane partitions. Zbl 1412.11132
Chern, Shane
2
2017
Distribution of reducible polynomials with a given coefficient set. Zbl 1389.11072
Chern, Shane
1
2017
New congruences for 2-color partitions. Zbl 1408.11102
Chern, Shane
8
2016
Integral right triangle and rhombus pairs with a common area and a common perimeter. Zbl 1335.51021
Chern, Shane
8
2016
Formulas for partition \(k\)-tuples with \(t\)-cores. Zbl 1331.05031
Chern, Shane
6
2016
Fibonacci numbers close to a power of 2. Zbl 1384.11020
Chern, Shane; Cui, Alvin
5
2014
all top 5

Cited by 212 Authors

26 Chern, Shane
13 Tang, Dazhao
10 Xia, Ernest X. W.
9 Mansour, Toufik
9 Yao, Olivia Xiang Mei
7 Lin, Bernard L. S.
6 Yee, Ae Ja
5 Heim, Bernhard Ernst
5 Mahadeva Naika, Megadahalli Sidda
5 Neuhauser, Markus
5 Sellers, James Allen
5 Zhang, Yong
4 Baruah, Nayandeep Deka
4 da Silva, Robson
4 Gireesh, D. S.
4 Maji, Bibekananda
4 Mao, Renrong
4 Saikia, Nipen
4 Shattuck, Mark A.
3 Das, Hirakjyoti
3 Eyyunni, Pramod
3 Fan, Yan
3 Heyman, Randell
3 Hirschhorn, Michael D.
3 Kim, Eunmi
3 Li, Yangcheng
3 Liu, Eric H.
3 Lv, Xingxing
3 Merca, Mircea
3 Wang, Andrew Y. Z.
3 Wang, Liuquan
3 Zhang, Wenpeng
2 Andrews, George Eyre
2 Banerjee, Koustav
2 Bhoria, Subhash Chand
2 Binner, Damanvir Singh
2 Callan, David
2 Chen, Yonggao
2 Dastidar, Manosij Ghosh
2 Dixit, Atul
2 Drema, Rinchin
2 Du, Julia Q. D.
2 Fu, Shishuo
2 Hao, Robert X. J.
2 Kaur, Mandeep
2 Kim, Byungchan
2 Li, Runqiao
2 Lin, Zhicong
2 Ma, Wu-Xia
2 Shen, Erin Y. Y.
2 Shivashankar, Chandrappa
2 Tröger, Robert
2 Yang, Jane Y. X.
2 Zhang, Wenlong
2 Zhang, Ying
2 Zhang, Yumo
2 Zhang, Zhizheng
1 Acikel, Abdullah
1 Adam, Marcin
1 Alegri, Mateus
1 Baker, Katherine
1 Barman, Rupam
1 Berndt, Bruce Carl
1 Bhattacharjee, Sreerupa
1 Bordellès, Olivier
1 Boruah, Chayanika
1 Bravo, Jhon Jairo
1 Bringmann, Kathrin
1 Burson, Hannah E.
1 Cao, Zhineng
1 Chandrappa, Shivashankar
1 Chen, Joanna N.
1 Chen, Na
1 Chen, Yongqiang
1 Chen, Zhuoyu
1 Cheng, Yuyang
1 Claesson, Anders
1 Cochran, Ezekiel
1 Craig, William
1 da Graça Neto, Almir Cunha
1 Das, Pradeep
1 Dasappa, Ranganatha
1 Dawsey, Madeline Locus
1 de Oliveira, Kelvin Souza
1 Ding, Yihao
1 Dong, Janet J. W.
1 Dukes, Mark
1 Escobar Anel, Marcos
1 Fathima, Syeda Noor
1 Franklín, Atli Fannar
1 Gajdzica, Krystian
1 Gao, Jiejie
1 Gómez, Carlos Alexis
1 Gu, Dieqi
1 Gu, Jing
1 Gupta, Neha
1 Hanson, Michael
1 Hao, Li-Jun
1 Harishkumar, Thippeswamy
1 Harrell, Emma
...and 112 more Authors
all top 5

Cited in 61 Serials

36 The Ramanujan Journal
12 International Journal of Number Theory
7 Bulletin of the Australian Mathematical Society
7 Discrete Mathematics
7 Journal of Number Theory
7 Annals of Combinatorics
6 Advances in Applied Mathematics
6 Integers
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Mathematical Analysis and Applications
5 The Electronic Journal of Combinatorics
5 Research in Number Theory
4 Rocky Mountain Journal of Mathematics
4 Journal of Combinatorial Theory. Series A
4 European Journal of Combinatorics
3 Proceedings of the American Mathematical Society
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Quaestiones Mathematicae
3 Results in Mathematics
3 The Journal of Analysis
3 Journal of Difference Equations and Applications
3 AIMS Mathematics
2 Discrete Applied Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Czechoslovak Mathematical Journal
2 Functiones et Approximatio. Commentarii Mathematici
2 Monatshefte für Mathematik
2 Journal of Symbolic Computation
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Acta Mathematica Sinica. English Series
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Algebraic Combinatorics
1 Mathematical Notes
1 Acta Arithmetica
1 The Journal of the Indian Mathematical Society. New Series
1 Mathematica Slovaca
1 Note di Matematica
1 Optimization
1 Journal of the Ramanujan Mathematical Society
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Arab Journal of Mathematical Sciences
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 International Journal of Theoretical and Applied Finance
1 Journal of Integer Sequences
1 Quantitative Finance
1 Decisions in Economics and Finance
1 Forum Geometricorum
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Review of Derivatives Research
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Online Journal of Analytic Combinatorics
1 Tbilisi Mathematical Journal
1 Afrika Matematika
1 Journal of Mathematics
1 Discrete Analysis
1 Transactions of the American Mathematical Society. Series B
1 Journal of Applied Mathematics and Computational Mechanics
1 DML. Discrete Mathematics Letters
1 Enumerative Combinatorics and Applications
1 Advanced Studies: Euro-Tbilisi Mathematical Journal

Citations by Year