## Found 651 Documents (Results 1–100)

100
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### Generalizations of Hirschhorn’s results on two remarkable $$q$$-series expansions. (English)Zbl 07589791

MSC:  33D15 11F33 30B10
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### Vanishing coefficients of $$q^{5n+r}$$ and $$q^{11n+r}$$ in certain infinite $$q$$-product expansions. (English)Zbl 07583947

MSC:  33D15 11F33
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### Three cubic $$q$$-series of Gasper and Rahman. (English)Zbl 07576460

MSC:  33D15 40G10
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### Hecke-type triple sums associated with mock theta functions. (English)Zbl 07557858

MSC:  33D15 11F27
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### A note on semi-finite forms of the quintuple product identity. (English)Zbl 07545079

MSC:  33Dxx 11Fxx 33-XX
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### Further results on vanishing coefficients in infinite products of the form $$(q^b, q^{p - b}; q^p )_\infty^3 (q^{j b}, q^{2 p - j b}; q^{2 p})_\infty$$. (English)Zbl 07543103

MSC:  11B65 33D15 05A19
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### Generalization of five $$q$$-series identities of Ramanujan and unexplored weighted partition identities. (English)Zbl 1489.11158

MSC:  11P81 11P84 05A17
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### On a partition identity of Lehmer. (English)Zbl 1491.05021

MSC:  05A17 05A30 11P81
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### Some new $$q$$-series identities through an extended Bailey transform. (English)Zbl 1491.05033

MSC:  05A30 33D15
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### Two families of constant term identities. (English)Zbl 1491.05035

MSC:  05A30 05A19
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### Two formulae of Gauss and Bailey for $${}_2 F_1 \left(\frac{1}{2}\right)$$-series. (English)Zbl 07527244

MSC:  33C20 33D15
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### Arithmetic convolution sums derived from eta quotients related to divisors of 6. (English)Zbl 07517560

MSC:  11A07 11A25
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### Divided differences and well-poised $$q$$-series. (English)Zbl 07513892

MSC:  33D15 33D65
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### Results on vanishing coefficients in infinite $$q$$-series expansions for certain arithmetic progressions mod 7. (English)Zbl 07510936

MSC:  33D15 11F33
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### Arithmetic properties for $$(r,s)$$-regular partition functions with distinct parts. (English)Zbl 07469701

MSC:  11P83 05A17
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### Arithmetic properties for $$\ell$$-regular partition functions with distinct even parts. (English)Zbl 07462225

MSC:  11P83 05A17
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### On a generalized Weierstrass theta identity. (English)Zbl 07453368

MSC:  33D90 33D15 33E05
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### New infinite hierarchies of polynomial identities related to the Capparelli partition theorems. (English)Zbl 1475.05012

MSC:  05A17 11P81 05A19
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### On theta-type functions in the form $$(x; q)_\infty$$. (English)Zbl 07560121

MSC:  34M30 33E30 30E15
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MSC:  33D15
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### $$q$$-random walks on $$\mathbb Z^d$$, $$d = 1, 2, 3$$. (English)Zbl 1480.60207

MSC:  60J10 60G50
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### Combinatorial interpretations of $$q$$-series using $$n$$-color partitions. (English)Zbl 1483.11227

MSC:  11P81 05A15 05A17
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### On some $$q$$-series identities related to a generalized divisor function and their implications. (English)Zbl 1472.05022

MSC:  05A30 05A19 11P84
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### A brief review of $$q$$-series. (English)Zbl 1483.05013

Cohl, Howard S. (ed.) et al., Lectures on orthogonal polynomials and special functions. Based on the 6th summer school on orthogonal polynomials and special functions (OPSF-S6), University of Maryland, College Park, MD, USA, July 11–15, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 464, 76-130 (2021).
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MSC:  33D15
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### General congruences modulo 5 and 7 for colour partitions. (English)Zbl 1482.11141

MSC:  11P82 11P83
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### On the vanishing of some mock theta functions at odd roots of unity. (English)Zbl 1477.11075

MSC:  11F27 33D15 05A10
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### Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds. (English)Zbl 1470.57010

MSC:  57K10 57K16
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MSC:  57K16
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### New infinite $$q$$-product expansions with vanishing coefficients. (English)Zbl 07369454

MSC:  11B65 33D15 05A19
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### Partition-theoretic interpretations of some $$q$$-series identities of Ramanujan. (English)Zbl 1474.11181

MSC:  11P84 05A30 11F27
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### A Bailey type identity with applications related to integer representations. (English)Zbl 1470.11261

MSC:  11P81 05A17
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### On linear relations for Dirichlet series formed by recursive sequences of second order. (English)Zbl 1472.11208

MSC:  11J72 11J85
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### On weighted overpartitions related to some $$q$$-series in Ramanujan’s lost notebook. (English)Zbl 1470.11262

MSC:  11P81 33D15
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### Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $$A^{(2)}_2$$. (English)Zbl 1475.11188

MSC:  11P84 05E10 17B67
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### A general double sum identity, mock theta functions, and Bailey pairs. (English)Zbl 1468.33018

MSC:  33D15 11F37
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### Finite and symmetric colored multiple zeta values and multiple harmonic $$q$$-series at roots of unity. (English)Zbl 1469.11334

MSC:  11M32 11R18 05A30
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### Semicomplete arithmetic sequences, division of hypercubes, and the Pell constant. (English)Zbl 1462.05030

MSC:  05A17 05A30 11B65
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### Chasing after cancellations: revisiting a classic identity that implies the Rogers-Ramanujan identities. (English)Zbl 1460.05025

MSC:  05A30 05A15 05A19
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### Combinatorics of two second-order mock theta functions. (English)Zbl 1466.11074

MSC:  11P84 05A17
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### General fine transformations. I. (English)Zbl 1466.11069

MSC:  11P81 33D15 05A17
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### $$q$$-analogues of some series for powers of $$\pi$$. (English)Zbl 1460.05026

MSC:  05A30 11B65 11M06
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### Untrodden pathways in the theory of the restricted partition function $$p(n,N)$$. (English)Zbl 1464.11104

MSC:  11P82 05A17
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### Asymptotics and statistics on Fishburn matrices and their generalizations. (English)Zbl 1459.05016

MSC:  05A19 05A15 05B20
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### Series and products in the development of mathematics. In 2 volumes. 2nd updated edition of the book previously published in a single volume under the title ‘Sources in the development of mathematics’. (English)Zbl 1457.01002

Cambridge: Cambridge University Press (ISBN 978-1-108-70945-3/vol.1; 978-1-108-70937-8/vol.2; 978-1-108-70943-9/2-vol. set). xvii, 759 p./vol.1; xvii, 459 p./vol.2 (2021).
MSC:  01-01 01A05 26-03
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### Sums of partial theta functions through an extended Bailey transform. (English)Zbl 1456.05017

MSC:  05A30 11P84 33D15
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### Some formulae for coefficients in restricted $$q$$-products. (English)Zbl 1456.11196

MSC:  11P81 11P83 11P84
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### Rising binomial coefficients – type 1: extensions of Carlitz and Riordan. (English)Zbl 07540086

MSC:  11B65 11B39
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### Arithmetic properties derived from coefficients of certain eta quotients. (English)Zbl 07460879

MSC:  11A07 11A25 05A30
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### Partition-theoretic formulas for arithmetic densities. II. (English)Zbl 1471.05011

MSC:  05A17 05A30 11P82
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MSC:  05A30

### Several $$q$$-series related to Ramanujan’s theta functions. (English)Zbl 1467.33013

MSC:  33D15 11F33 30B10
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### Some results on vanishing coefficients in infinite product expansions. (English)Zbl 1476.33010

MSC:  33D15 11F30
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### A general $$q$$-expansion formula based on matrix inversions and its applications. (English)Zbl 1462.05040

MSC:  05A30 33D15
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### Large color $$R$$-matrix for knot complements and strange identities. (English)Zbl 1460.57014

MSC:  57K16 57K31 16T25
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### On the number of partitions into parts with the minimal part $$k$$ and the minimal difference $$d$$. (English)Zbl 1474.05381

MSC:  05E05 11P84 05A19
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### Knot complement, ADO invariants and their deformations for torus knots. (English)Zbl 1459.57017

MSC:  57K14 57K16 81R50
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### Sequences in partitions, double $$q$$-series and the mock theta function $$\rho_3(q)$$. (English)Zbl 07293157

Pillwein, Veronika (ed.) et al., Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17–18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. Texts Monogr. Symb. Comput., 25-45 (2020).
MSC:  68W30
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### Complete asymptotic expansions associated with various zeta-functions. (English)Zbl 1457.11124

Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 205-262 (2020).
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### The $$2$$-fold Bailey lemma and mock theta functions. (English)Zbl 1475.11075

MSC:  11F27 11B65 11F03
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### Some further Hecke-type identities. (English)Zbl 1453.11054

MSC:  11F03 11B65 11F27
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### Some implications of the $$2$$-fold Bailey lemma. (English)Zbl 1443.11213

MSC:  11P81 11P83
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### Parity bias in partitions. (English)Zbl 1447.05030

MSC:  05A17 11P81 05A15
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### Some new positive observations. (English)Zbl 1447.05022

MSC:  05A17 05A15 05A19
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### Proofs and reductions of various conjectured partition identities of Kanade and Russell. (English)Zbl 1447.05023

MSC:  05A17 05A19 11P84
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### Special values of finite multiple harmonic $$q$$-series at roots of unity. (English)Zbl 1439.11218

Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 2. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 32, 1-18 (2020).
MSC:  11M32
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### Partition implications of a three-parameter $$q$$-series identity. (English)Zbl 1445.11114

MSC:  11P81 11P84 05A17
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### A bijective proof and generalization of Siladić’s theorem. (English)Zbl 1439.05025

MSC:  05A17 11P81 11P84
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### Exponents associated with $$Y$$-systems and their relationship with $$q$$-series. (English)Zbl 1439.13057

MSC:  13F60 17B22 81R10
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### Derivations on the algebra of multiple harmonic $$q$$-series and their applications. (English)Zbl 1437.05026

MSC:  05A30 11M32 33E20
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MSC:  55S25
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### Third-order mock theta functions. (English)Zbl 1457.11021

MSC:  11B65 11F27 11F03
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### Rank two false theta functions and Jacobi forms of negative definite matrix index. (English)Zbl 1468.11111

MSC:  11F50 17B67 33D15
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MSC:  33D05
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MSC:  33D15
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