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A combinatorial construction for two formulas in Slater’s list. (English) Zbl 07924586

Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 457-465 (2024).

MSC: 05A17 05A15 11P84

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Gugg, Chadwick

On conjectures of Koike and Somos for modular identities for the Rogers-Ramanujan functions. (English) Zbl 07924572

Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 223-260 (2024).

MSC: 11P84 33D90

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Burson, Hannah

Combinatorics of two second-order mock theta functions. (English) Zbl 07924562

Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 63-73 (2024).

MSC: 05A17 11P84

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Andrews, George E.

The Ramanujan-Dyson identities and george Beck’s congruence conjectures. (English) Zbl 07924559

Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 17-27 (2024).

MSC: 11P84 11P83 11P81 05A19

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Rajkhowa, Shraddha; Saikia, Nipen

Theta-function identities of Ramanujan’s continued fractions of order fourteen and twenty-eight, partition identities and vanishing coefficients. (English) Zbl 07920799

Funct. Approximatio, Comment. Math. 70, No. 2, 233-244 (2024).

MSC: 11A55 11F27 11P84

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Li, Zhi; Wang, Liuquan

Rogers-Ramanujan type identities involving double, triple and quadruple sums. (English) Zbl 07920332

Ramanujan J. 65, No. 1, 333-390 (2024).

MSC: 11P84 33D15 33D60 11F03

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Tsuchioka, Shunsuke

A vertex operator reformulation of the Kanade-Russell conjecture modulo 9. (English) Zbl 07920327

Ramanujan J. 65, No. 1, 217-240 (2024).

MSC: 11P84 05E10

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Chen, Y. H.; Gu, T. T.; He, T. Y.; Tang, F.; Wei, J. J.

An overpartition analogue of Bressoud’s conjecture for even moduli. (English) Zbl 07920323

Ramanujan J. 65, No. 1, 139-161 (2024).

MSC: 05A17 05A19 11P84

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Ballantine, Cristina; Beck, George

Partitions enumerated by self-similar sequences. (English) Zbl 07918573

Guàrdia, Jordi (ed.) et al., New frontiers in number theory and applications. Cham: Birkhäuser. Trends Math., 51-96 (2024).

MSC: 11P81 11P84 05A17

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Zhou, Roberta R.

New modular equations of composite degrees and partition identities. (English) Zbl 07915204

Bull. Malays. Math. Sci. Soc. (2) 47, No. 5, Paper No. 160, 31 p. (2024).

MSC: 11P84 05A15 05A17

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Rosengren, Hjalmar

A new (but very nearly old) proof of the Rogers-Ramanujan identities. (English) Zbl 07897510

SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 059, 10 p. (2024).

MSC: 11P84 33D15

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Wang, Liuquan

Identities on Zagier’s rank two examples for Nahm’s problem. (English) Zbl 07875607

Res. Math. Sci. 11, No. 3, Paper No. 49, 34 p. (2024).

MSC: 11P84 33D15 33D60 11F03

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Alegri, Mateus

Identities involving sum of divisors, compositions and integer partitions hiding in the \(q\)-binomial theorem. (English) Zbl 07875520

São Paulo J. Math. Sci. 18, No. 1, 1-13 (2024).

MSC: 11B65 11P84 40C15 40B05 05A17

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Wang, Andrew Y. Z.; Xu, Zheng

The minimal odd excludant and Euler’s partition theorem. (English) Zbl 07872244

Int. J. Number Theory 20, No. 6, 1445-1461 (2024).

MSC: 05A17 05A19 11P84

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Wang, Liuquan

Explicit forms and proofs of Zagier’s rank three examples for Nahm’s problem. (English) Zbl 07872171

Adv. Math. 450, Article ID 109743, 46 p. (2024).

MSC: 11P84 33D15 33D60 11F03

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Chen, Y. H.; He, Thomas Y.; Tang, F.; Wei, J. J.

Some separable integer partition classes. (English) Zbl 07864372

Int. J. Number Theory 20, No. 5, 1353-1371 (2024).

MSC: 11P83 05A17 05A19 11P84

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Gajdzica, Krystian

The Turán and Laguerre inequalities for quasi-polynomial-like functions. (English) Zbl 07852703

Res. Number Theory 10, No. 2, Paper No. 46, 20 p. (2024).

Reviewer: Rózsa Horváth-Bokor (Budakalász)

MSC: 11P82 11P84 05A17

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Konenkov, Stepan

Further \(q\)-reflections on the modulo 9 Kanade-Russell (conjectural) identities. (English) Zbl 07852609

J. Comb. Theory, Ser. A 206, Article ID 105894, 26 p. (2024).

MSC: 11P84 05A17 17Bxx

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Mao, Renrong; Xia, Ernest X. W.

A proof of a conjecture of Mao on Beck’s partition statistics modulo 8. (English) Zbl 07852430

J. Math. Anal. Appl. 531, No. 2, Part 2, Article ID 127837, 14 p. (2024).

Reviewer: Dazhao Tang (Chongqing)

MSC: 11P83 11P81 11P84 05A17

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Wang, Andrew Y. Z.; Xiao, Ang

Combinatorial properties of three classical truncated theta series theorems. (English) Zbl 07852000

Ann. Comb. 28, No. 2, 681-699 (2024).

Reviewer: Mircea Merca (București)

MSC: 11P84 05A17

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Agarwal, Archit; Bhoria, Subhash Chand; Eyyunni, Pramod; Maji, Bibekananda

Bressoud-Subbarao type weighted partition identities for a generalized divisor function. (English) Zbl 07851996

Ann. Comb. 28, No. 2, 555-574 (2024).

Reviewer: Rózsa Horváth-Bokor (Budakalász)

MSC: 11P84 05A17 11P81

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Kala, Vítězslav; Zindulka, Mikuláš

Partitions into powers of an algebraic number. (English) Zbl 07846623

Ramanujan J. 64, No. 2, 537-551 (2024).

Reviewer: M. P. Chaudhary (New Delhi)

MSC: 11P81 11P84 11R11

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Chen, Dandan; Chen, Rong

Generating functions of the Hurwitz class numbers associated with certain mock theta functions. (English) Zbl 07846614

Ramanujan J. 64, No. 2, 371-400 (2024).

Reviewer: Meinhard Peters (Münster)

MSC: 11E41 11P84 11F37

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Sagan, Bruce E.

Rooted partitions and number-theoretic functions. (English) Zbl 07845634

Ramanujan J. 64, No. 1, 253-264 (2024).

Reviewer: Mircea Merca (București)

MSC: 11P84 11A25 05A17 05A19

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Primc, Mirko

New partition identities for odd \(W\) odd. (English) Zbl 1534.05005

Rad Hrvat. Akad. Znan. Umjet. 558, Mat. Znan. 28, 49-56 (2024).

MSC: 11P84 05A19 17B67

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He, Thomas Y.; Ji, Kathy Q.; Zhao, Alice X. H.

Overpartitions and Bressoud’s conjecture. II. (English) Zbl 1535.05028

Eur. J. Comb. 118, Article ID 103937, 27 p. (2024).

MSC: 05A17 05A15 05A19 11P81 11P84

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Dhar, Aritram

On \(_{5} \psi_{5}\) identities of Bailey. (English) Zbl 1539.33014

Int. J. Number Theory 20, No. 2, 507-517 (2024).

Reviewer: Uğur Duran (İskenderun)

MSC: 33D15 33D65 11B65 11P84 05A19

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Cochran, Ezekiel; Dawsey, Madeline Locus; Harrell, Emma; Saunders, Samuel

Bijections, generalizations, and other properties of sequentially congruent partitions. (English) Zbl 07811999

Ramanujan J. 63, No. 3, 527-551 (2024).

Reviewer: Mircea Merca (București)

MSC: 11P83 05A17 11P84

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Cao, Zhineng; Rosengren, Hjalmar; Wang, Liuquan

On some double Nahm sums of Zagier. (English) Zbl 1531.05016

J. Comb. Theory, Ser. A 202, Article ID 105819, 13 p. (2024).

MSC: 05A19 05A30 11P84 33D45

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Salazar, Diego

PBW bases of irreducible Ising modules. (English) Zbl 07796387

J. Algebra 639, 398-421 (2024).

Reviewer: Christopher Raymond (Quebec)

MSC: 17B69 11P84

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Lin, Bernard L. S.; Lin, Xiaowei

Two partition inequalities related to the minimal excludant. (English) Zbl 07791006

Ramanujan J. 63, No. 1, 183-193 (2024).

Reviewer: M. P. Chaudhary (New Delhi)

MSC: 11P84 05A17

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Mao, Renrong

A modular approach to Andrews-Beck partition statistics. (English) Zbl 07787792

J. Comb. Theory, Ser. A 203, Article ID 105832, 35 p. (2024).

MSC: 11P83 11F27 11P84 11P81

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Milas, Antun; Wang, Liuquan

Modularity of Nahm sums for the tadpole diagram. (English) Zbl 07785371

Int. J. Number Theory 20, No. 1, 73-101 (2024).

MSC: 11P84 33D15 33D45

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Gu, Jing; Zhang, Zhizheng

Some new identities of Rogers-Ramanujan type. (English) Zbl 1538.11177

Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 129-142 (2024).

MSC: 11P84 11B65 33D05 33D15

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Wang, Boxue; Wang, Liuquan

Mizuno’s rank three Nahm sums II: identities of index \((1,2,2)\) and modular forms. arXiv:2407.21725

Preprint, arXiv:2407.21725 [math.NT] (2024).

MSC: 11P84 05A30 33D15 33D60 11F03

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Chen, Rong; Zhu, Xiao-Jie

Transformation properties of Andrews-Beck \(NT\) functions and generalized Appell-Lerch series. arXiv:2407.20790

Preprint, arXiv:2407.20790 [math.NT] (2024).

MSC: 11P84 05A17 11F11 11F30 11F37 11P83

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Sturman, Leah; Swisher, Holly

Toward resolving Kang and Park’s generalization of the Alder-Andrews Theorem. arXiv:2407.18350

Preprint, arXiv:2407.18350 [math.NT] (2024).

MSC: 11P82 11P84 11P81

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Campbell, Geoffrey B.

Rogers-Ramanujan identities in Statistical Mechanics. arXiv:2405.08425

Preprint, arXiv:2405.08425 [math-ph] (2024).

MSC: 11P84 37K60 82B23

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Salazar, Diego

Boundary minimal models and the Rogers-Ramanujan identities. arXiv:2405.07126

Preprint, arXiv:2405.07126 [math.QA] (2024).

MSC: 17B69 11P84

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Agarwal, Archit; Bhoria, Subhash Chand; Eyyunni, Pramod; Maji, Bibekananda

A divisor generating q-series identity and its applications to probability theory and random graphs. arXiv:2405.01877

Preprint, arXiv:2405.01877 [math.NT] (2024).

MSC: 11P84 33D15 05C80 60F99

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Keith, William J.; Zanello, Fabrizio

Parity of the coefficients of certain eta-quotients, III: The case of pure eta-powers. arXiv:2404.15716

Preprint, arXiv:2404.15716 [math.CO] (2024).

MSC: 11P83 05A17 11P84 11P82 11F33

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Kanade, Shashank; Russell, Matthew C.; Tsuchioka, Shunsuke; Warnaar, S. Ole

Remarks on the conjectures of Capparelli, Meurman, Primc and Primc. arXiv:2404.03851

Preprint, arXiv:2404.03851 [math.CO] (2024).

MSC: 05A17 05E05 05E10 11P84

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Dousse, Jehanne; Jouhet, Frédéric; Konan, Isaac

Combinatorial approach to Andrews-Gordon and Bressoud type identities. arXiv:2403.05414

Preprint, arXiv:2403.05414 [math.CO] (2024).

MSC: 05A15 05A17 05A19 05A30 11P81 11P84

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Berkovich, Alexander; Dhar, Aritram

Extension of Bressoud’s generalization of Borwein’s conjecture and some exact results. arXiv:2402.15886

Preprint, arXiv:2402.15886 [math.CO] (2024).

MSC: 05A15 05A17 05A30 11P81 11P84

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Gupta, Rajat; Lebowitz-Lockard, Noah; Vandehey, Joseph

On the \(k\)th smallest part of a partition into distinct parts. arXiv:2402.12549

Preprint, arXiv:2402.12549 [math.NT] (2024).

MSC: 11P81 11P82 11P84 05A19

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Wang, Boxue; Wang, Liuquan

Mizuno’s rank three Nahm sums I: identities of index \((1,1,2)\). arXiv:2402.06253

Preprint, arXiv:2402.06253 [math.NT] (2024).

MSC: 11P84 33D15 33D60 11F03

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Kawasetsu, Kazuya

Rogers-Ramanujan exact sequences and free representations over free generalized vertex algebras. arXiv:2401.17931

Preprint, arXiv:2401.17931 [math.QA] (2024).

MSC: 17B69 11P84

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Munagi, Augustine O.; Ngubane, Siphephelo

Conjugation of overpartitions and some applications of over \(q\)-binomial coefficients. (English) Zbl 07822972

Ann. Math. Inform. 59, 71-82 (2023).

MSC: 05A17 05A19 11P84

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Baker, Katherine; Kanade, Shashank; Russell, Matthew C.; Sadowski, Christopher

Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi’s identities. (English) Zbl 07811535

Algebr. Comb. 6, No. 6, 1533-1556 (2023).

MSC: 17B69 17B67 11P84 11B65

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Rajkhowa, Shraddha; Saikia, Nipen

On Ramanujan’s continued fractions of order twenty-four. (English) Zbl 07799883

Expo. Math. 41, No. 4, Article ID 125516, 27 p. (2023).

Reviewer: Shishuo Fu (Chongqing)

MSC: 11A55 11P84

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Baruah, Nayandeep Deka; Bhoria, Subhash Chand; Eyyunni, Pramod; Maji, Bibekananda

A refinement of a result of Andrews and Newman on the sum of minimal excludants. (English) Zbl 07784980

Ramanujan J. 62, No. 4, 1045-1067 (2023).

Reviewer: Donna Q. J. Dou (Changchun)

MSC: 11P83 11P84 11P81

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Burson, Hannah E.; Eichhorn, Dennis

Copartitions. (English) Zbl 1527.05021

Ann. Comb. 27, No. 3, 519-537 (2023).

Reviewer: Dazhao Tang (Chongqing)

MSC: 05A17 11P81 11P84

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Du, Julia Q. D.

On cranks of partitions modulo 12 and 16. (English) Zbl 1540.11141

Ramanujan J. 62, No. 3, 863-883 (2023).

Reviewer: Stephan Wagner (Uppsala)

MSC: 11P83 11P84

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Rahman, Riyajur; Saikia, Nipen

Congruences modulo 13, 17 and 19 for general partition function. (English) Zbl 1522.11107

Mishra, Ratnesh Kumar (ed.) et al., Advances in pure and applied algebra. Proceedings of the CONIAPS XXVII international conference 2021. Berlin: De Gruyter. De Gruyter Proc. Math., 13-20 (2023).

MSC: 11P83 11P84 05A17 11P81