Bernard L. S. Lin

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All published works

Action	Title	Year	Authors
+	An identity of Ramanujan and its combinatorics	2024	Bernard L. S. Lin Xiaowei Lin Lei Zhang
+	Some Results for Bipartition Difference Functions	2024	Bernard L. S. Lin Xiaowei Lin
+	Proofs of some conjectures of Sun on representations by linear combinations of triangular numbers	2023	Liping Cao Bernard L. S. Lin
+	Two partition inequalities related to the minimal excludant	2023	Bernard L. S. Lin Xiaowei Lin
+	ON THE NUMBER OF NEARLY SELF-CONJUGATE PARTITIONS	2022	Bernard L. S. Lin SITONG SUN
+	Proofs of some conjectures of Sun on the relations between t(a, b, c; n) and N(a, b, c; n)	2022	Liping Cao Bernard L. S. Lin
+	Proofs of some conjectures of Sun on the relations between T(a,b,c,d;n) and N(a,b,c,d;n)	2022	Liping Cao Bernard L. S. Lin
+	Refinement for sequences in partitions	2022	Bernard L. S. Lin Xiaowei Lin
+	Weighted generalized crank moments for k-colored partitions and Andrews-Beck type congruences	2021	Bernard L. S. Lin Linyu Peng Pee Choon Toh
+	New congruences modulo 5 for partition related to mock theta function $$\omega (q)$$	2021	Bernard L. S. Lin Jiejuan Xiao
+	A variation of the Andrews–Stanley partition function and two interesting q-series identities	2020	Bernard L. S. Lin Linyu Peng Pee Choon Toh
+	k-Regular partitions and overpartitions with bounded part differences	2020	Bernard L. S. Lin Saisai Zheng
+	Overpartitions related to the mock theta function $V_0(q)$	2020	Bernard L. S. Lin
+	OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION	2020	Bernard L. S. Lin
+	INFINITE FAMILIES OF CONGRUENCES FOR OVERPARTITIONS WITH RESTRICTED ODD DIFFERENCES	2020	Bernard L. S. Lin Jian Liu Andrew Y. Z. Wang Jiejuan Xiao
+	Refinements of the results on partitions and overpartitions with bounded part differences	2019	Bernard L. S. Lin
+	GENERALISATION OF A RESULT ON DISTINCT PARTITIONS WITH BOUNDED PART DIFFERENCES	2019	Runqiao Li Bernard L. S. Lin Andrew Y. Z. Wang
+	PARTITIONS WITH AN ARBITRARY NUMBER OF SPECIFIED DISTANCES	2019	Bernard L. S. Lin
+ PDF Chat	Vulnerability of super connected split graphs and bisplit graphs	2018	L. B. Guo Bernard L. S. Lin
+	Restricted edge connectivity of graphs on degree	2018	L. B. Guo Bernard L. S. Lin
+	Congruences for the reciprocals of the Ramanujan–Gordon identities	2018	Bernard L. S. Lin Andrew Yezhou Wang
+	Congruences for cubic partition pairs modulo powers of 3	2017	Bernard L. S. Lin Liuquan Wang Ernest X. W. Xia
+	The number of tagged parts over the partitions with designated summands	2017	Bernard L. S. Lin
+	New Ramanujan-type congruences for 4-core partitions	2017	Yingying Gao Su-Ping Cui L. B. Guo Bernard L. S. Lin
+	Two infinite families of congruences modulo 9 for overcubic partition pairs	2016	Bernard L. S. Lin Erin Y. Y. Shen Andrew Yezhou Wang
+	Parity results for 13-regular partitions and broken 6-diamond partitions	2016	Donna Q. J. Dou L. B. Guo Bernard L. S. Lin
+	Congruences modulo 27 for cubic partition pairs	2016	Bernard L. S. Lin
+	Overpartition function modulo powers of 2	2016	Xue Yang Su-Ping Cui Bernard L. S. Lin
+	New Ramanujan type congruences modulo 5 for overpartitions	2016	Donna Q. J. Dou Bernard L. S. Lin
+	Ramanujan-style proof of $$p_{-3}(11n+7) \equiv 0\ (\mathrm{mod\ }11)$$ p - 3 ( 11 n + 7 ) ≡ 0 ( mod 11 )	2015	Bernard L. S. Lin
+	Extensive parity analysis of broken 5-diamond partitions	2015	Bernard L. S. Lin Amita Malik Andrew Y. Z. Wang
+	An infinite family of congruences modulo $$3$$ 3 for $$13$$ 13 -regular bipartitions	2014	Bernard L. S. Lin
+ PDF Chat	Arithmetic Properties of Overcubic Partition Pairs	2014	Bernard L. S. Lin
+	A new proof of a conjecture of Hirschhorn and Sellers on overpartitions	2014	Bernard L. S. Lin
+ PDF Chat	GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES	2014	Bernard L. S. Lin Andrew Y. Z. Wang
+	Elementary proofs of Radu and Sellers’ results for broken 2-diamond partitions	2014	Bernard L. S. Lin Andrew Y. Z. Wang
+	Arithmetic of the 7-regular bipartition function modulo 3	2014	Bernard L. S. Lin
+	Some results on bipartitions with 3-core	2014	Bernard L. S. Lin
+	Elementary proofs of parity results for broken 3-diamond partitions	2013	Bernard L. S. Lin
+	NEW RAMANUJAN TYPE CONGRUENCE MODULO 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS	2013	Bernard L. S. Lin
+	Arithmetic properties of bipartitions with even parts distinct	2013	Bernard L. S. Lin
+	ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE	2013	Bernard L. S. Lin
+	THE RESTRICTED 3-COLORED PARTITION FUNCTION MOD 3	2013	Bernard L. S. Lin
+ PDF Chat	Arithmetic properties of overpartition pairs	2011	William Y. C. Chen Bernard L. S. Lin
+ PDF Chat	Congruences for bipartitions with odd parts distinct	2011	William Y. C. Chen Bernard L. S. Lin
+	Arithmetic Properties of Overpartition Pairs	2010	William Y. C. Chen Bernard L. S. Lin
+	Congruences for Bipartitions with Odd Parts Distinct	2010	William Y. C. Chen Bernard L. S. Lin
+	Arithmetic Properties of Overpartition Pairs	2010	William Y. C. Chen Bernard L. S. Lin
+	Congruences for Bipartitions with Odd Parts Distinct	2010	William Y. C. Chen Bernard L. S. Lin
+	Congruences for the Number of Cubic Partitions Derived from Modular Forms	2009	William Y. C. Chen Bernard L. S. Lin

Common Coauthors

Coauthor	Papers Together
William Y. C. Chen	6
Andrew Y. Z. Wang	5
L. B. Guo	4
Liping Cao	3
Xiaowei Lin	3
Pee Choon Toh	2
Linyu Peng	2
Jiejuan Xiao	2
Donna Q. J. Dou	2
Su-Ping Cui	2
Andrew Yezhou Wang	2
Xiaowei Lin	1
Amita Malik	1
Erin Y. Y. Shen	1
Ernest X. W. Xia	1
Saisai Zheng	1
William Y. C. Chen	1
Liuquan Wang	1
Jian Liu	1
SITONG SUN	1
Lei Zhang	1
Yingying Gao	1
Xue Yang	1
Runqiao Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Number theory in the spirit of Ramanujan	2007	Bruce C. Berndt	18
+	Ramanujan’s Notebooks: Part V	1997	Bruce C. Berndt	18
+	Ramanujan’s Notebooks	1991	Bruce C. Berndt	17
+	Number Theory in the Spirit of Ramanujan	2006	Bruce C. Berndt	14
+	Arithmetic properties of partitions with even parts distinct	2010	George E. Andrews Michael D. Hirschhorn James A. Sellers	11
+	RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"	2010	Hei-Chi Chan	8
+	Ramanujan's Lost Notebook: Part II	2009	George E. Andrews Bruce C. Berndt	8
+	The Theory of Partitions	1984	George E. Andrews	7
+	New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions	2013	Olivia X. M. Yao Ernest X. W. Xia	6
+	Arithmetic properties of ℓ-regular partitions	2013	Su-Ping Cui Nancy S. S. Gu	6
+ PDF Chat	Proof of a conjecture of Hirschhorn and Sellers on overpartitions	2014	William Y. C. Chen Ernest X. W. Xia	6
+ PDF Chat	Quadratic Forms and Four Partition Functions Modulo 3	2011	Jeremy Lovejoy Robert Osburn	6
+ PDF Chat	Identities and Congruences of the Ramanujan Type	1950	K. G. Ramanathan	6
+	The Power of q	2017	Michael D. Hirschhorn	5
+	RANK AND CONGRUENCES FOR OVERPARTITION PAIRS	2008	Kathrin Bringmann Jeremy Lovejoy	5
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono	5
+ PDF Chat	Ramanujan Type Congruences for a Partition Function	2011	Haijian Zhao Zheyuan Zhong	5
+	A short note on the overpartition function	2008	Byungchan Kim	5
+ PDF Chat	Parity results for broken k-diamond partitions and (2k+1)-cores	2010	Silviu Radu James A. Sellers	5
+	Distribution of a certain partition function modulo powers of primes	2011	Hei-Chi Chan	5
+	RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION	2010	Hei-Chi Chan	5
+	THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5	2003	Jeremy Lovejoy	4
+	Infinite families of strange partition congruences for broken 2-diamonds	2010	Peter Paule Silviu Radu	4
+	An overpartition analogue of partitions with bounded differences between largest and smallest parts	2017	Shane Chern	4
+ PDF Chat	Partitions with fixed differences between largest and smallest parts	2015	George E. Andrews Matthias Beck Neville Robbins	4
+ PDF Chat	ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS	2009	Michael D. Hirschhorn James A. Sellers	4
+	Arithmetic properties of the $\ell$-regular partitions	2013	Su-Ping Cui Nancy Shanshan Gu	4
+	Arithmetic of the 7-regular bipartition function modulo 3	2014	Bernard L. S. Lin	4
+	None	1997	Basil Gordon Ken Ono	4
+	Some Properties of Partitions	1954	A. O. L. Atkin Peter Swinnerton‐Dyer	4
+	On the number of partitions with distinct even parts	2011	Shi-Chao Chen	4
+	Congruences for ℓ-regular partition functions modulo 3	2011	David Furcy David Penniston	4
+ PDF Chat	Congruences in ordered pairs of partitions	2004	Paul Hammond Richard P. Lewis	4
+	Ramanujan's Notebooks	1985	Bruce C. Berndt	4
+	ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS	2008	David Penniston	4
+	The overpartition function modulo small powers of 2	2004	Karl Mahlburg	4
+	A new proof of a conjecture of Hirschhorn and Sellers on overpartitions	2014	Bernard L. S. Lin	4
+	ℓ-Divisibility of ℓ-regular partition functions	2007	Brian Dandurand David Penniston	4
+ PDF Chat	Overpartitions with bounded part differences	2018	Shane Chern Ae Ja Yee	4
+	Divisibility and Distribution of Partitions into Distinct Parts	2001	Jeremy Lovejoy	4
+	New analogues of Ramanujan's partition identities	2010	Heng Huat Chan Pee Choon Toh	4
+	Arithmetic of the 13-regular partition function modulo 3	2010	John J. Webb	4
+	Parity results for 9-regular partitions	2013	Ernest X. W. Xia Olivia X. M. Yao	4
+	The 2-Adic Behavior of the Number of Partitions into Distinct Parts	2000	Ken Ono David Penniston	4
+ PDF Chat	A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins	2016	Felix Breuer Brandt Kronholm	4
+ PDF Chat	MacMahon's partition analysis XI: Broken diamonds and modular forms	2007	George E. Andrews Peter Paule	4
+	Some congruences for Andrews–Paule’s broken 2-diamond partitions	2008	Song Heng Chan	4
+ PDF Chat	Partitions with designated summands	2002	George E. Andrews Richard P. Lewis Jeremy Lovejoy	4
+	The arithmetic of partitions into distinct parts	2001	Scott Ahlgren Jeremy Lovejoy	4
+	The pa-Regular Partition Function Modulo pj	2002	David Penniston	4