## Found 209 Documents (Results 1–100)

100
MathJax

### Accuracy of the Laplace transform method for linear neutral delay differential equations. (English)Zbl 07529444

MSC:  65-XX 34-XX
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### On Gosper’s $$\mathit{\Pi}_q$$ and Lambert series identities. (English)Zbl 07522850

MSC:  11F20 11M36 33C75
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### An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect. (English)Zbl 07517410

MSC:  11M06 11M26 11N37
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### An exact formula for a Lambert series associated to a cusp form and the Möbius function. (English)Zbl 07472670

MSC:  11M06 11M26 11N37
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### Arithmetic properties for Appell-Lerch sums. (English)Zbl 07438400

MSC:  11P83 05A17
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### Proofs for two Lambert series identities of Gosper. (English)Zbl 1482.11065

MSC:  11F11 11M36
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### On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms. (English)Zbl 1467.35098

MSC:  35C10 35C20 35B25
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MSC:  11F37
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### Proof for a $$\Pi_q$$-identity of Gosper. (English)Zbl 1465.11098

MSC:  11F11 11F03 33D15
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### Generalized Lambert series and Euler’s pentagonal number theorem. (English)Zbl 1467.11087

MSC:  11P81 05A17 05A19
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### Best bounds for the Lambert $$W$$ functions. (English)Zbl 1462.33010

MSC:  33E20 26A48 26D07
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MSC:  01A55
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### Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers. (English)Zbl 1474.11129

MSC:  11J72 11A41
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### The Lambert-Kaniadakis $$W_\kappa$$ function. (English)Zbl 1448.33001

MSC:  33B10 33E20
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### Generalized Lambert series, Raabe’s cosine transform and a generalization of Ramanujan’s formula for $$\zeta (2m+1)$$. (English)Zbl 1462.11064

MSC:  11M06 11J81
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### Arithmetic properties of coefficients of the mock theta function $$B(q)$$. (English)Zbl 1448.11184

MSC:  11P83 05A17
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### Generalized Lambert series and arithmetic nature of odd zeta values. (English)Zbl 1437.11124

MSC:  11M06 11J81
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### Seven equivalent binomial sums. (English)Zbl 1429.05016

MSC:  05A19 05A10 05A15
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### Identities for Dirichlet and Lambert-type series arising from the numbers of a certain special word. (English)Zbl 07472219

MSC:  11B83 11M41 68R15
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### On some Lambert-like series. (English)Zbl 1469.11336

MSC:  11M35 11M41 40A30
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MSC:  33E05
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MSC:  33D15
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### Identities generated from the genus theory of real quadratic fields. (English)Zbl 1449.05029

MSC:  05A19 11E04 11E10
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MSC:  11J72
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### Multifold convolutions of binomial coefficients. (English)Zbl 1433.05023

MSC:  05A15 05A10
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### Pairs of eta-quotients with dual weights and their applications. (English)Zbl 1462.11036

MSC:  11F20 11F11
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### Nonterminating $$_3F_2$$-series with a free variable. (English)Zbl 1428.33017

MSC:  33C20 05A10
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### Identities connected with Ramanujan’s continued fraction. (English)Zbl 1406.33016

MSC:  33D15 11A55
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### All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells. (English)Zbl 1406.92284

MSC:  92C50 92D10 65H04
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### Sharp bounds for the Lambert $$W$$ function. (English)Zbl 06987728

MSC:  33E20 26A48 26D07
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### New mock theta conjectures. I. (English)Zbl 1422.11095

MSC:  11F27 11F37 11F50
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### Elementary proofs of two theta function identities of Ramanujan and corresponding Lambert series identities. (English)Zbl 1409.11083

MSC:  11P84 11F27 05A17
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### Ramanujan’s lost notebook. Part V. (English)Zbl 1416.11001

Cham: Springer (ISBN 978-3-319-77832-7/hbk; 978-3-319-77834-1/ebook). xii, 430 p. (2018).
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### Generalizations of some conjectures of Chan on congruences for Appell-Lerch sums. (English)Zbl 1439.11061

MSC:  11B65 11B50 40A05
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### Generalized Dedekind sums and the transformation formula in finite fields. (English)Zbl 1430.11054

MSC:  11F20 12E20
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### On continued fractions and Lambert series. (English)Zbl 1396.33031

MSC:  33D15 11B65
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### New approximations to the principal real-valued branch of the Lambert $$W$$-function. (English)Zbl 1381.33020

MSC:  33C70 41A50 65D20
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### Integrals and derivatives connected to the $$r$$-Lambert function. (English)Zbl 1379.33004

MSC:  33B20 30B10
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### Asymptotic expansions of Lambert series and related $$q$$-series. (English)Zbl 1379.33023

MSC:  33D05 41A60
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### On the structure of the solution set of a generalized Euler-Lambert equation. (English)Zbl 1371.33036

MSC:  33E20 33C70 65H99
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### Lambert series and conjugacy classes in $$\mathrm{GL}$$. (English)Zbl 1365.05024

MSC:  05A17 11P81
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### Modular-type relations associated to the Rankin-Selberg $$L$$-function. (English)Zbl 1422.11175

MSC:  11M06 11M26 11N37
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### Generalized Dedekind sums and transformation formulae in function fields. (English)Zbl 1420.11075

MSC:  11F20 11R58 11G09
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### The rank and crank of partitions modulo 3. (English)Zbl 1336.05012

MSC:  11P81 05A17
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MSC:  33D15
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### On Lambert series and continued fractions. (English)Zbl 1445.33030

MSC:  33D15 11B65
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MSC:  33D15

### Estimates of the correction coefficient in Coulomb’s law for electrostatic interaction between two charged conducting spheres. (English)Zbl 1349.78009

MSC:  78A25 40B05

### On recursions for coefficients of mock theta functions. (English)Zbl 1331.33034

MSC:  33D15 11F30
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### Basic and bibasic identities related to divisor functions. (English)Zbl 1322.05025

MSC:  05A19 11B68 33D99
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### Theta series associated with certain positive definite binary quadratic forms. (English)Zbl 1365.11037

MSC:  11E16 11R29
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### Representations of certain binary quadratic forms as a sum of Lambert series and eta-quotients. (English)Zbl 1319.11022

MSC:  11E25 11F11
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### The $$M_{2}$$-rank of partitions without repeated odd parts modulo 6 and 10. (English)Zbl 1328.11104

MSC:  11P81 05A17
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### A new look on the generating function for the number of divisors. (English)Zbl 1371.11140

MSC:  11P81 05A30
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MSC:  33D15
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MSC:  33D15
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### On Ramanujan’s theta functions. (English)Zbl 1445.33014

MSC:  33C05 33D15
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### A note on the Lambert $$W$$-function: applications in the mathematical and physical sciences. (English)Zbl 1331.33046

Gumel, Abba B. (ed.), Mathematics of continuous and discrete dynamical systems. AMS special session in honor of Ronald Mickens’s 70th birthday on nonstandard finite-difference discretizations and nonlinear oscillations, San Diego, CA, USA, January 9–10, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9862-8/pbk; 978-1-4704-1686-7/ebook). Contemporary Mathematics 618, 247-263 (2014).
MSC:  33E20 74J30 76B15

### A generating function for $$\sigma(3n-1)$$. (English. Russian original)Zbl 1336.11018

Math. Notes 95, No. 4, 565-569 (2014); translation from Mat. Zametki 95, No. 4, 630-634 (2014).
MSC:  11B65 11A25
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MSC:  11J72
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MSC:  11J72
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### Two quotients of theta functions and arithmetic identities for 3-cores. (English)Zbl 1361.11060

Berndt, Bruce C. (ed.) et al., The legacy of Srinivasa Ramanujan. Proceedings of the international conference in celebration of the 125th anniversary of Ramanujan’s birth, University of Delhi, Delhi, India, December 17–22, 2012. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). Ramanujan Mathematical Society Lecture Notes Series 20, 99-110 (2013).
MSC:  11P83 05A17

### Net present value analysis of the economic production quantity. (English)Zbl 1302.90067

MSC:  90B30 90B05 91B38
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MSC:  11J72
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### A $$q$$-analog of Euler’s reduction formula for the double zeta function. (English)Zbl 1283.11127

Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 113-126 (2013).
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### On the Fourier transform of the greatest common divisor. (English)Zbl 1283.11010

MSC:  11A25 11L03 11M41
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### Rank-crank-type PDEs and generalized Lambert series identities. (English)Zbl 1328.11053

MSC:  11F50 11P83 33D15
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### On representations by figurate numbers: a uniform approach to the conjectures of Melham. (English)Zbl 1281.11033

MSC:  11E25 11E16 11D85
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### Non-linear algebraic differential equations satisfied by a certain family of elliptic functions. (English)Zbl 1279.11087

MSC:  11M36 33E05
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MSC:  65D20
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### Solutions of several open problems. (English)Zbl 1259.26019

MSC:  26D07 26D15

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MSC:  33D15
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### A new summation formula for WP-Bailey pairs. (English)Zbl 1299.33007

MSC:  33D15 11B65
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MSC:  70M20
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### Arithmetical functions and irrationality of Lambert series. (English)Zbl 1302.11049

Amou, Masaaki (ed.) et al., Diophantine analysis and related fields 2011, DARF–2011. Proceedings of the conference, Musashino, Tokyo, Japan, March 3–5, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0947-7/pbk). AIP Conference Proceedings 1385, 5-16 (2011).
MSC:  11J72 11A25
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### The Lambert function on the solution of a delay differential equation. (English)Zbl 1251.34079

Reviewer: Pat Lumb (Chester)
MSC:  34K07 34K06 33E20
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### Enumerative and asymptotic analysis of a moduli space. (English)Zbl 1233.05222

MSC:  05E40 05A16
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### On the modular equations of degree $$m$$ – a generalization. (English)Zbl 1267.11043

MSC:  11F27 33D15 33E05
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