Kerr, Gilbert; González-Parra, Gilberto Accuracy of the Laplace transform method for linear neutral delay differential equations. (English) Zbl 07529444 Math. Comput. Simul. 197, 308-326 (2022). MSC: 65-XX 34-XX PDF BibTeX XML Cite \textit{G. Kerr} and \textit{G. González-Parra}, Math. Comput. Simul. 197, 308--326 (2022; Zbl 07529444) Full Text: DOI OpenURL
Varada, Yathirajsharma Mudumbai; Nanjundegowda, Harshitha Kempaiahnahundi; Ranganna, Vasuki Kaliyur On Gosper’s \(\mathit{\Pi}_q\) and Lambert series identities. (English) Zbl 07522850 Hiroshima Math. J. 52, No. 1, 113-137 (2022). MSC: 11F20 11M36 33C75 PDF BibTeX XML Cite \textit{Y. M. Varada} et al., Hiroshima Math. J. 52, No. 1, 113--137 (2022; Zbl 07522850) Full Text: DOI OpenURL
Maji, Bibekananda; Sathyanarayana, Sumukha; Shankar, B. R. An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect. (English) Zbl 07517410 Result. Math. 77, No. 3, Paper No. 123, 16 p. (2022). MSC: 11M06 11M26 11N37 PDF BibTeX XML Cite \textit{B. Maji} et al., Result. Math. 77, No. 3, Paper No. 123, 16 p. (2022; Zbl 07517410) Full Text: DOI OpenURL
Toledo, F. J. On the convergence of infinite towers of powers and logarithms for general initial data: applications to Lambert W function sequences. (English) Zbl 07481811 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 71, 15 p. (2022). MSC: 26A18 33B10 33B30 40A05 PDF BibTeX XML Cite \textit{F. J. Toledo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 71, 15 p. (2022; Zbl 07481811) Full Text: DOI OpenURL
Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha An exact formula for a Lambert series associated to a cusp form and the Möbius function. (English) Zbl 07472670 Ramanujan J. 57, No. 2, 769-784 (2022). MSC: 11M06 11M26 11N37 PDF BibTeX XML Cite \textit{A. Juyal} et al., Ramanujan J. 57, No. 2, 769--784 (2022; Zbl 07472670) Full Text: DOI OpenURL
Ding, W. H.; Xia, Ernest X. W. Arithmetic properties for Appell-Lerch sums. (English) Zbl 07438400 Ramanujan J. 56, No. 3, 763-783 (2021). MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{W. H. Ding} and \textit{E. X. W. Xia}, Ramanujan J. 56, No. 3, 763--783 (2021; Zbl 07438400) Full Text: DOI OpenURL
He, Bing Proofs for two Lambert series identities of Gosper. (English) Zbl 1482.11065 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 136, 6 p. (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11F11 11M36 PDF BibTeX XML Cite \textit{B. He}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 136, 6 p. (2021; Zbl 1482.11065) Full Text: DOI arXiv OpenURL
Chen, Guoting; Lastra, Alberto; Malek, Stéphane On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms. (English) Zbl 1467.35098 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 121, 38 p. (2021). MSC: 35C10 35C20 35B25 PDF BibTeX XML Cite \textit{G. Chen} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 121, 38 p. (2021; Zbl 1467.35098) Full Text: DOI OpenURL
Dorigoni, Daniele; Kleinschmidt, Axel Resurgent expansion of Lambert series and iterated Eisenstein integrals. (English) Zbl 1462.11040 Commun. Number Theory Phys. 15, No. 1, 1-57 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 PDF BibTeX XML Cite \textit{D. Dorigoni} and \textit{A. Kleinschmidt}, Commun. Number Theory Phys. 15, No. 1, 1--57 (2021; Zbl 1462.11040) Full Text: DOI arXiv OpenURL
He, Bing Proof for a \(\Pi_q\)-identity of Gosper. (English) Zbl 1465.11098 Adv. Appl. Math. 123, Article ID 102120, 10 p. (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F11 11F03 33D15 PDF BibTeX XML Cite \textit{B. He}, Adv. Appl. Math. 123, Article ID 102120, 10 p. (2021; Zbl 1465.11098) Full Text: DOI OpenURL
Merca, Mircea Generalized Lambert series and Euler’s pentagonal number theorem. (English) Zbl 1467.11087 Mediterr. J. Math. 18, No. 1, Paper No. 29, 12 p. (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P81 05A17 05A19 PDF BibTeX XML Cite \textit{M. Merca}, Mediterr. J. Math. 18, No. 1, Paper No. 29, 12 p. (2021; Zbl 1467.11087) Full Text: DOI OpenURL
Salem, Ahmed Best bounds for the Lambert \(W\) functions. (English) Zbl 1462.33010 J. Math. Inequal. 14, No. 4, 1237-1247 (2020). MSC: 33E20 26A48 26D07 PDF BibTeX XML Cite \textit{A. Salem}, J. Math. Inequal. 14, No. 4, 1237--1247 (2020; Zbl 1462.33010) Full Text: DOI OpenURL
Sacchetti, Andrea Francesco Carlini: Kepler’s equation and the asymptotic solution to singular differential equations. (English) Zbl 1462.01018 Hist. Math. 53, 1-32 (2020). MSC: 01A55 PDF BibTeX XML Cite \textit{A. Sacchetti}, Hist. Math. 53, 1--32 (2020; Zbl 1462.01018) Full Text: DOI arXiv OpenURL
Duverney, D.; Suzuki, Y.; Tachiya, Y. Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers. (English) Zbl 1474.11129 Acta Math. Hung. 162, No. 1, 375-392 (2020). MSC: 11J72 11A41 PDF BibTeX XML Cite \textit{D. Duverney} et al., Acta Math. Hung. 162, No. 1, 375--392 (2020; Zbl 1474.11129) Full Text: DOI arXiv OpenURL
da Silva, J. L. E.; da Silva, G. B.; Ramos, R. V. The Lambert-Kaniadakis \(W_\kappa\) function. (English) Zbl 1448.33001 Phys. Lett., A 384, No. 8, Article ID 126175, 6 p. (2020). MSC: 33B10 33E20 PDF BibTeX XML Cite \textit{J. L. E. da Silva} et al., Phys. Lett., A 384, No. 8, Article ID 126175, 6 p. (2020; Zbl 1448.33001) Full Text: DOI OpenURL
Wei, Bin; Zhang, Helen W. J. Rank differences for overpartitions modulo \(6\). (English) Zbl 1446.33010 Proc. Am. Math. Soc. 148, No. 10, 4333-4349 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 05A17 11F37 11P81 PDF BibTeX XML Cite \textit{B. Wei} and \textit{H. W. J. Zhang}, Proc. Am. Math. Soc. 148, No. 10, 4333--4349 (2020; Zbl 1446.33010) Full Text: DOI OpenURL
Dixit, Atul; Gupta, Rajat; Kumar, Rahul; Maji, Bibekananda Generalized Lambert series, Raabe’s cosine transform and a generalization of Ramanujan’s formula for \(\zeta (2m+1)\). (English) Zbl 1462.11064 Nagoya Math. J. 239, 232-293 (2020). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 11M06 11J81 PDF BibTeX XML Cite \textit{A. Dixit} et al., Nagoya Math. J. 239, 232--293 (2020; Zbl 1462.11064) Full Text: DOI OpenURL
Mao, Renrong Arithmetic properties of coefficients of the mock theta function \(B(q)\). (English) Zbl 1448.11184 Bull. Aust. Math. Soc. 102, No. 1, 50-58 (2020). Reviewer: Dazhao Tang (Chongqing) MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{R. Mao}, Bull. Aust. Math. Soc. 102, No. 1, 50--58 (2020; Zbl 1448.11184) Full Text: DOI OpenURL
Schneider, Maxwell; Schneider, Robert Digit sums and generating functions. (English) Zbl 1459.11023 Ramanujan J. 52, No. 2, 291-302 (2020). MSC: 11A63 11P82 11B75 05A15 05A30 PDF BibTeX XML Cite \textit{M. Schneider} and \textit{R. Schneider}, Ramanujan J. 52, No. 2, 291--302 (2020; Zbl 1459.11023) Full Text: DOI arXiv OpenURL
Dixit, Atul; Maji, Bibekananda Generalized Lambert series and arithmetic nature of odd zeta values. (English) Zbl 1437.11124 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 741-769 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11M06 11J81 PDF BibTeX XML Cite \textit{A. Dixit} and \textit{B. Maji}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 741--769 (2020; Zbl 1437.11124) Full Text: DOI arXiv OpenURL
Merca, Mircea; Schmidt, Maxie D. Factorization theorems for generalized Lambert series and applications. (English) Zbl 1458.11008 Ramanujan J. 51, No. 2, 391-419 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11A25 11P81 05A17 05A19 PDF BibTeX XML Cite \textit{M. Merca} and \textit{M. D. Schmidt}, Ramanujan J. 51, No. 2, 391--419 (2020; Zbl 1458.11008) Full Text: DOI arXiv OpenURL
Bai, Mei; Chu, Wenchang Seven equivalent binomial sums. (English) Zbl 1429.05016 Discrete Math. 343, No. 2, Article ID 111691, 5 p. (2020). MSC: 05A19 05A10 05A15 PDF BibTeX XML Cite \textit{M. Bai} and \textit{W. Chu}, Discrete Math. 343, No. 2, Article ID 111691, 5 p. (2020; Zbl 1429.05016) Full Text: DOI OpenURL
Espinoza, Milton On certain zeta integral: transformation formula. (English) Zbl 1468.11176 J. Number Theory 207, 315-348 (2020). MSC: 11M32 11M35 11R42 11F20 PDF BibTeX XML Cite \textit{M. Espinoza}, J. Number Theory 207, 315--348 (2020; Zbl 1468.11176) Full Text: DOI arXiv OpenURL
Kucukoglu, Irem; Simsek, Yilmaz Identities for Dirichlet and Lambert-type series arising from the numbers of a certain special word. (English) Zbl 07472219 Appl. Anal. Discrete Math. 13, No. 3, 787-804 (2019). MSC: 11B83 11M41 68R15 PDF BibTeX XML Cite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Appl. Anal. Discrete Math. 13, No. 3, 787--804 (2019; Zbl 07472219) Full Text: DOI arXiv OpenURL
Agarwal, P.; Kanemitsu, S.; Kuzumaki, T. On some Lambert-like series. (English) Zbl 1469.11336 Hardy-Ramanujan J. 42, 100-110 (2019). MSC: 11M35 11M41 40A30 PDF BibTeX XML Cite \textit{P. Agarwal} et al., Hardy-Ramanujan J. 42, 100--110 (2019; Zbl 1469.11336) Full Text: Link OpenURL
Shukla, Swatantra Kumar A note on Roger’s fine identity. (English) Zbl 1463.33038 South East Asian J. Math. Math. Sci. 15, No. 3, 93-98 (2019). MSC: 33E05 PDF BibTeX XML Cite \textit{S. K. Shukla}, South East Asian J. Math. Math. Sci. 15, No. 3, 93--98 (2019; Zbl 1463.33038) Full Text: Link OpenURL
Pant, G. S.; Chand, K. B. Partition generating functions and continued fractions. (English) Zbl 1453.33012 J. Ramanujan Soc. Math. Math. Sci. 7, No. 1, 101-106 (2019). MSC: 33D15 PDF BibTeX XML Cite \textit{G. S. Pant} and \textit{K. B. Chand}, J. Ramanujan Soc. Math. Math. Sci. 7, No. 1, 101--106 (2019; Zbl 1453.33012) Full Text: Link OpenURL
Shen, Lichien Identities generated from the genus theory of real quadratic fields. (English) Zbl 1449.05029 J. East China Norm. Univ., Nat. Sci. Ed. 2019, No. 6, 7-20 (2019). MSC: 05A19 11E04 11E10 PDF BibTeX XML Cite \textit{L. Shen}, J. East China Norm. Univ., Nat. Sci. Ed. 2019, No. 6, 7--20 (2019; Zbl 1449.05029) Full Text: DOI OpenURL
Duverney, Daniel; Tachiya, Yohei Refinement of the Chowla-Erdős method and linear independence of certain Lambert series. (English) Zbl 1445.11062 Forum Math. 31, No. 6, 1557-1566 (2019). Reviewer: Jan Šustek (Ostrava) MSC: 11J72 PDF BibTeX XML Cite \textit{D. Duverney} and \textit{Y. Tachiya}, Forum Math. 31, No. 6, 1557--1566 (2019; Zbl 1445.11062) Full Text: DOI OpenURL
Li, Nadia N.; Chu, Wenchang Multifold convolutions of binomial coefficients. (English) Zbl 1433.05023 Math. Commun. 24, No. 2, 279-287 (2019). Reviewer: Peter Jau-Shyong Shiue (Las Vegas) MSC: 05A15 05A10 PDF BibTeX XML Cite \textit{N. N. Li} and \textit{W. Chu}, Math. Commun. 24, No. 2, 279--287 (2019; Zbl 1433.05023) Full Text: Link OpenURL
Choi, Dohoon; Kim, Byungchan; Lim, Subong Pairs of eta-quotients with dual weights and their applications. (English) Zbl 1462.11036 Adv. Math. 355, Article ID 106779, 51 p. (2019). MSC: 11F20 11F11 PDF BibTeX XML Cite \textit{D. Choi} et al., Adv. Math. 355, Article ID 106779, 51 p. (2019; Zbl 1462.11036) Full Text: DOI OpenURL
El Bachraoui, Mohamed On series identities of Gosper and integrals of Ramanujan theta function \(\psi (q)\). (English) Zbl 1469.33013 Proc. Am. Math. Soc. 147, No. 10, 4451-4464 (2019). MSC: 33E05 11F27 11F11 11F12 PDF BibTeX XML Cite \textit{M. El Bachraoui}, Proc. Am. Math. Soc. 147, No. 10, 4451--4464 (2019; Zbl 1469.33013) Full Text: DOI arXiv OpenURL
Merca, Mircea; Schmidt, Maxie D. The partition function \(p(n)\) in terms of the classical Möbius function. (English) Zbl 1464.11008 Ramanujan J. 49, No. 1, 87-96 (2019). MSC: 11A25 11P81 05A17 05A19 PDF BibTeX XML Cite \textit{M. Merca} and \textit{M. D. Schmidt}, Ramanujan J. 49, No. 1, 87--96 (2019; Zbl 1464.11008) Full Text: DOI OpenURL
Li, Nadia N.; Chu, Wenchang Nonterminating \(_3F_2\)-series with a free variable. (English) Zbl 1428.33017 Integral Transforms Spec. Funct. 30, No. 8, 628-642 (2019). Reviewer: István Mező (Debrecen) MSC: 33C20 05A10 PDF BibTeX XML Cite \textit{N. N. Li} and \textit{W. Chu}, Integral Transforms Spec. Funct. 30, No. 8, 628--642 (2019; Zbl 1428.33017) Full Text: DOI OpenURL
Rawat, Pramod Kumar Identities connected with Ramanujan’s continued fraction. (English) Zbl 1406.33016 Palest. J. Math. 8, No. 1, 242-248 (2019). MSC: 33D15 11A55 PDF BibTeX XML Cite \textit{P. K. Rawat}, Palest. J. Math. 8, No. 1, 242--248 (2019; Zbl 1406.33016) Full Text: Link OpenURL
Belkić, Dževad 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 J. Math. Chem. 57, No. 1, 59-106 (2019). MSC: 92C50 92D10 65H04 PDF BibTeX XML Cite \textit{D. Belkić}, J. Math. Chem. 57, No. 1, 59--106 (2019; Zbl 1406.92284) Full Text: DOI Backlinks: MO OpenURL
Merca, Mircea; Schmidt, Maxie D. A partition identity related to Stanley’s theorem. (English) Zbl 1401.05031 Am. Math. Mon. 125, No. 10, 929-933 (2018). MSC: 05A17 05A15 11B75 11P81 PDF BibTeX XML Cite \textit{M. Merca} and \textit{M. D. Schmidt}, Am. Math. Mon. 125, No. 10, 929--933 (2018; Zbl 1401.05031) Full Text: DOI OpenURL
Alzahrani, Faris; Salem, Ahmed Sharp bounds for the Lambert \(W\) function. (English) Zbl 06987728 Integral Transforms Spec. Funct. 29, No. 12, 971-978 (2018). MSC: 33E20 26A48 26D07 PDF BibTeX XML Cite \textit{F. Alzahrani} and \textit{A. Salem}, Integral Transforms Spec. Funct. 29, No. 12, 971--978 (2018; Zbl 06987728) Full Text: DOI OpenURL
McIntosh, Richard J. New mock theta conjectures. I. (English) Zbl 1422.11095 Ramanujan J. 46, No. 2, 593-604 (2018). MSC: 11F27 11F37 11F50 PDF BibTeX XML Cite \textit{R. J. McIntosh}, Ramanujan J. 46, No. 2, 593--604 (2018; Zbl 1422.11095) Full Text: DOI OpenURL
Zhang, Changgui A modular-type formula for \((x;q)_\infty \). (English) Zbl 1441.11089 Ramanujan J. 46, No. 1, 269-305 (2018). MSC: 11F20 11F27 30D05 33E05 05A30 PDF BibTeX XML Cite \textit{C. Zhang}, Ramanujan J. 46, No. 1, 269--305 (2018; Zbl 1441.11089) Full Text: DOI OpenURL
Wang, Andrew Yezhou Elementary proofs of two theta function identities of Ramanujan and corresponding Lambert series identities. (English) Zbl 1409.11083 Colloq. Math. 152, No. 1, 15-22 (2018). MSC: 11P84 11F27 05A17 PDF BibTeX XML Cite \textit{A. Y. Wang}, Colloq. Math. 152, No. 1, 15--22 (2018; Zbl 1409.11083) Full Text: DOI OpenURL
Andrews, George E.; Berndt, Bruce C. [Ramanujan, Srinivasa] 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). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11-02 05A30 11F03 11F11 11B65 11F27 11F37 01A60 01A75 PDF BibTeX XML Cite \textit{G. E. Andrews} and \textit{B. C. Berndt}, Ramanujan's lost notebook. Part V. Cham: Springer (2018; Zbl 1416.11001) Full Text: DOI OpenURL
Qu, Y. K.; Wang, Y. J.; Yao, Olivia X. M. Generalizations of some conjectures of Chan on congruences for Appell-Lerch sums. (English) Zbl 1439.11061 J. Math. Anal. Appl. 460, No. 1, 232-238 (2018). MSC: 11B65 11B50 40A05 PDF BibTeX XML Cite \textit{Y. K. Qu} et al., J. Math. Anal. Appl. 460, No. 1, 232--238 (2018; Zbl 1439.11061) Full Text: DOI OpenURL
Hamahata, Yoshinori Generalized Dedekind sums and the transformation formula in finite fields. (English) Zbl 1430.11054 Finite Fields Appl. 49, 49-61 (2018). MSC: 11F20 12E20 PDF BibTeX XML Cite \textit{Y. Hamahata}, Finite Fields Appl. 49, 49--61 (2018; Zbl 1430.11054) Full Text: DOI OpenURL
Pant, G. S.; Pande, V. P. On continued fractions and Lambert series. (English) Zbl 1396.33031 J. Ramanujan Soc. Math. Math. Sci. 6, No. 1, 79-90 (2017). MSC: 33D15 11B65 PDF BibTeX XML Cite \textit{G. S. Pant} and \textit{V. P. Pande}, J. Ramanujan Soc. Math. Math. Sci. 6, No. 1, 79--90 (2017; Zbl 1396.33031) Full Text: Link OpenURL
Iacono, Roberto; Boyd, John P. New approximations to the principal real-valued branch of the Lambert \(W\)-function. (English) Zbl 1381.33020 Adv. Comput. Math. 43, No. 6, 1403-1436 (2017). MSC: 33C70 41A50 65D20 PDF BibTeX XML Cite \textit{R. Iacono} and \textit{J. P. Boyd}, Adv. Comput. Math. 43, No. 6, 1403--1436 (2017; Zbl 1381.33020) Full Text: DOI OpenURL
Merca, Mircea The Lambert series factorization theorem. (English) Zbl 1393.11066 Ramanujan J. 44, No. 2, 417-435 (2017). MSC: 11P81 11A25 11P84 05A17 05A19 PDF BibTeX XML Cite \textit{M. Merca}, Ramanujan J. 44, No. 2, 417--435 (2017; Zbl 1393.11066) Full Text: DOI OpenURL
Schmidt, Maxie D. New recurrence relations and matrix equations for arithmetic functions generated by Lambert series. (English) Zbl 1428.11019 Acta Arith. 181, No. 4, 355-367 (2017). MSC: 11A25 11N64 11Y70 05A15 05A30 PDF BibTeX XML Cite \textit{M. D. Schmidt}, Acta Arith. 181, No. 4, 355--367 (2017; Zbl 1428.11019) Full Text: DOI arXiv OpenURL
Corcino, Cristina B.; Corcino, Roberto B.; Mező, István Integrals and derivatives connected to the \(r\)-Lambert function. (English) Zbl 1379.33004 Integral Transforms Spec. Funct. 28, No. 11, 838-845 (2017). MSC: 33B20 30B10 PDF BibTeX XML Cite \textit{C. B. Corcino} et al., Integral Transforms Spec. Funct. 28, No. 11, 838--845 (2017; Zbl 1379.33004) Full Text: DOI OpenURL
Mező, István; Baricz, Árpád On the generalization of the Lambert \(W\) function. (English) Zbl 1375.33034 Trans. Am. Math. Soc. 369, No. 11, 7917-7934 (2017). Reviewer: Sergei V. Rogosin (Minsk) MSC: 33E99 33E20 11B73 33C45 PDF BibTeX XML Cite \textit{I. Mező} and \textit{Á. Baricz}, Trans. Am. Math. Soc. 369, No. 11, 7917--7934 (2017; Zbl 1375.33034) Full Text: DOI OpenURL
Banerjee, Shubho; Wilkerson, Blake Asymptotic expansions of Lambert series and related \(q\)-series. (English) Zbl 1379.33023 Int. J. Number Theory 13, No. 8, 2097-2113 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33D05 41A60 PDF BibTeX XML Cite \textit{S. Banerjee} and \textit{B. Wilkerson}, Int. J. Number Theory 13, No. 8, 2097--2113 (2017; Zbl 1379.33023) Full Text: DOI arXiv OpenURL
Mező, István On the structure of the solution set of a generalized Euler-Lambert equation. (English) Zbl 1371.33036 J. Math. Anal. Appl. 455, No. 1, 538-553 (2017). MSC: 33E20 33C70 65H99 PDF BibTeX XML Cite \textit{I. Mező}, J. Math. Anal. Appl. 455, No. 1, 538--553 (2017; Zbl 1371.33036) Full Text: DOI OpenURL
Merca, Mircea Lambert series and conjugacy classes in \(\mathrm{GL}\). (English) Zbl 1365.05024 Discrete Math. 340, No. 9, 2223-2233 (2017). MSC: 05A17 11P81 PDF BibTeX XML Cite \textit{M. Merca}, Discrete Math. 340, No. 9, 2223--2233 (2017; Zbl 1365.05024) Full Text: DOI OpenURL
Chakraborty, Kalyan; Kanemitsu, Shigeru; Maji, Bibekananda Modular-type relations associated to the Rankin-Selberg \(L\)-function. (English) Zbl 1422.11175 Ramanujan J. 42, No. 2, 285-299 (2017). MSC: 11M06 11M26 11N37 PDF BibTeX XML Cite \textit{K. Chakraborty} et al., Ramanujan J. 42, No. 2, 285--299 (2017; Zbl 1422.11175) Full Text: DOI OpenURL
Hamahata, Yoshinori Generalized Dedekind sums and transformation formulae in function fields. (English) Zbl 1420.11075 J. Number Theory 173, 272-292 (2017). MSC: 11F20 11R58 11G09 PDF BibTeX XML Cite \textit{Y. Hamahata}, J. Number Theory 173, 272--292 (2017; Zbl 1420.11075) Full Text: DOI OpenURL
Ballantine, Cristina; Merca, Mircea New convolutions for the number of divisors. (English) Zbl 1344.05017 J. Number Theory 170, 17-34 (2017). MSC: 11A25 05A17 05A19 11P81 11P84 PDF BibTeX XML Cite \textit{C. Ballantine} and \textit{M. Merca}, J. Number Theory 170, 17--34 (2017; Zbl 1344.05017) Full Text: DOI OpenURL
Patane, Frank On a generalized identity connecting theta series associated with discriminants \(\Delta\) and \(\Delta p^2\). (English) Zbl 1396.11062 Acta Arith. 176, No. 4, 343-364 (2016). Reviewer: Meinhard Peters (Münster) MSC: 11E16 11E25 11F27 11H55 11R29 PDF BibTeX XML Cite \textit{F. Patane}, Acta Arith. 176, No. 4, 343--364 (2016; Zbl 1396.11062) Full Text: DOI arXiv OpenURL
Alaca, Şaban; Doyle, Greg Liouville identities with two functions. (English) Zbl 1347.41039 Int. J. Number Theory 12, No. 5, 1345-1363 (2016). Reviewer: Cristinel Mortici (Târgovişte) MSC: 41A58 30B10 11K65 11A25 PDF BibTeX XML Cite \textit{Ş. Alaca} and \textit{G. Doyle}, Int. J. Number Theory 12, No. 5, 1345--1363 (2016; Zbl 1347.41039) Full Text: DOI OpenURL
Chan, Song Heng; Mao, Renrong The rank and crank of partitions modulo 3. (English) Zbl 1336.05012 Int. J. Number Theory 12, No. 4, 1027-1053 (2016). MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{S. H. Chan} and \textit{R. Mao}, Int. J. Number Theory 12, No. 4, 1027--1053 (2016; Zbl 1336.05012) Full Text: DOI OpenURL
Merca, Mircea Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer. (English) Zbl 1396.11123 J. Number Theory 160, 60-75 (2016). MSC: 11P81 11A25 11P84 05A17 05A19 PDF BibTeX XML Cite \textit{M. Merca}, J. Number Theory 160, 60--75 (2016; Zbl 1396.11123) Full Text: DOI OpenURL
Singh, Satya Prakash Certain results involving Lambert series and continued fractions. I. (English) Zbl 1474.33073 South East Asian J. Math. Math. Sci. 11, No. 1, 65-70 (2015). MSC: 33D15 PDF BibTeX XML Cite \textit{S. P. Singh}, South East Asian J. Math. Math. Sci. 11, No. 1, 65--70 (2015; Zbl 1474.33073) Full Text: Link OpenURL
Mehta, Trishla; Yadav, Vijay; Shahjade, Mohammad On Lambert series and continued fractions. (English) Zbl 1445.33030 J. Ramanujan Soc. Math. Math. Sci. 4, No. 1, 49-60 (2015). MSC: 33D15 11B65 PDF BibTeX XML Cite \textit{T. Mehta} et al., J. Ramanujan Soc. Math. Math. Sci. 4, No. 1, 49--60 (2015; Zbl 1445.33030) Full Text: Link OpenURL
Singh, Satya Prakash Certain identities involving Lambert series. (English) Zbl 1351.33017 J. Indian Acad. Math. 37, No. 2, 225-232 (2015). MSC: 33D15 PDF BibTeX XML Cite \textit{S. P. Singh}, J. Indian Acad. Math. 37, No. 2, 225--232 (2015; Zbl 1351.33017) OpenURL
Bozhkov, S.; Kolikov, K.; Zlatanov, B. Estimates of the correction coefficient in Coulomb’s law for electrostatic interaction between two charged conducting spheres. (English) Zbl 1349.78009 Bull. Transilv. Univ. Brașov, Ser. III, Math. Inform. Phys. 8(57), No. 1, 1-14 (2015). MSC: 78A25 40B05 PDF BibTeX XML Cite \textit{S. Bozhkov} et al., Bull. Transilv. Univ. Brașov, Ser. III, Math. Inform. Phys. 8(57), No. 1, 1--14 (2015; Zbl 1349.78009) OpenURL
Chan, Song Heng; Mao, Renrong; Osburn, Robert On recursions for coefficients of mock theta functions. (English) Zbl 1331.33034 Res. Number Theory 1, Paper No. 29, 18 p. (2015). MSC: 33D15 11F30 PDF BibTeX XML Cite \textit{S. H. Chan} et al., Res. Number Theory 1, Paper No. 29, 18 p. (2015; Zbl 1331.33034) Full Text: DOI arXiv OpenURL
Guo, Victor J. W.; Zeng, Jiang Basic and bibasic identities related to divisor functions. (English) Zbl 1322.05025 J. Math. Anal. Appl. 431, No. 2, 1197-1209 (2015). MSC: 05A19 11B68 33D99 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{J. Zeng}, J. Math. Anal. Appl. 431, No. 2, 1197--1209 (2015; Zbl 1322.05025) Full Text: DOI arXiv OpenURL
Chan, Heng Huat; Toh, Pee Choon Theta series associated with certain positive definite binary quadratic forms. (English) Zbl 1365.11037 Acta Arith. 169, No. 4, 331-356 (2015). Reviewer: Andrew Dolphin (Antwerpen) MSC: 11E16 11R29 PDF BibTeX XML Cite \textit{H. H. Chan} and \textit{P. C. Toh}, Acta Arith. 169, No. 4, 331--356 (2015; Zbl 1365.11037) Full Text: DOI OpenURL
Patane, Frank An identity connecting theta series associated with binary quadratic forms of discriminant \(\Delta\) and \(\Delta(\mathrm{prime})^2\). (English) Zbl 1322.11027 J. Number Theory 156, 290-316 (2015). Reviewer: M. Peters (Münster) MSC: 11E16 11E25 11F27 11H55 11R20 11E41 PDF BibTeX XML Cite \textit{F. Patane}, J. Number Theory 156, 290--316 (2015; Zbl 1322.11027) Full Text: DOI arXiv OpenURL
Ye, Dongxi Representations of certain binary quadratic forms as a sum of Lambert series and eta-quotients. (English) Zbl 1319.11022 Int. J. Number Theory 11, No. 4, 1073-1088 (2015). Reviewer: Paweł Gładki (Katowice) MSC: 11E25 11F11 PDF BibTeX XML Cite \textit{D. Ye}, Int. J. Number Theory 11, No. 4, 1073--1088 (2015; Zbl 1319.11022) Full Text: DOI OpenURL
Mao, Renrong The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10. (English) Zbl 1328.11104 Ramanujan J. 37, No. 2, 391-419 (2015). Reviewer: Ricardo Mamede (Coimbra) MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{R. Mao}, Ramanujan J. 37, No. 2, 391--419 (2015; Zbl 1328.11104) Full Text: DOI OpenURL
Merca, Mircea A new look on the generating function for the number of divisors. (English) Zbl 1371.11140 J. Number Theory 149, 57-69 (2015). Reviewer: Jeremy Lovejoy (Paris) MSC: 11P81 05A30 PDF BibTeX XML Cite \textit{M. Merca}, J. Number Theory 149, 57--69 (2015; Zbl 1371.11140) Full Text: DOI OpenURL
Singh, Shiv Prakash On certain special series and continued fractions. (English) Zbl 1445.33040 J. Ramanujan Soc. Math. Math. Sci. 3, No. 1, 89-93 (2014). MSC: 33D15 PDF BibTeX XML Cite \textit{S. P. Singh}, J. Ramanujan Soc. Math. Math. Sci. 3, No. 1, 89--93 (2014; Zbl 1445.33040) Full Text: Link OpenURL
Yadav, Jayprakash; Pandey, N. N. A note on certain transformations involving Lambert series. (English) Zbl 1445.33045 J. Ramanujan Soc. Math. Math. Sci. 3, No. 1, 75-79 (2014). MSC: 33D15 PDF BibTeX XML Cite \textit{J. Yadav} and \textit{N. N. Pandey}, J. Ramanujan Soc. Math. Math. Sci. 3, No. 1, 75--79 (2014; Zbl 1445.33045) Full Text: Link OpenURL
Vijay, Yadav; Pathak, Manoj Kumar; Upadhyay, Rajnish Kant On Ramanujan’s theta functions. (English) Zbl 1445.33014 J. Ramanujan Soc. Math. Math. Sci. 2, No. 2, 77-81 (2014). MSC: 33C05 33D15 PDF BibTeX XML Cite \textit{Y. Vijay} et al., J. Ramanujan Soc. Math. Math. Sci. 2, No. 2, 77--81 (2014; Zbl 1445.33014) Full Text: Link OpenURL
Jordan, P. M. 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 PDF BibTeX XML Cite \textit{P. M. Jordan}, Contemp. Math. 618, 247--263 (2014; Zbl 1331.33046) OpenURL
Gladun, S. E. 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 PDF BibTeX XML Cite \textit{S. E. Gladun}, Math. Notes 95, No. 4, 565--569 (2014; Zbl 1336.11018); translation from Mat. Zametki 95, No. 4, 630--634 (2014) Full Text: DOI OpenURL
Luca, Florian; Tachiya, Yohei Linear independence of certain Lambert series. (English) Zbl 1305.11063 Proc. Am. Math. Soc. 142, No. 10, 3411-3419 (2014). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 PDF BibTeX XML Cite \textit{F. Luca} and \textit{Y. Tachiya}, Proc. Am. Math. Soc. 142, No. 10, 3411--3419 (2014; Zbl 1305.11063) Full Text: DOI OpenURL
Luca, Florian; Tachiya, Yohei Irrationality of Lambert series associated with a periodic sequence. (English) Zbl 1291.11101 Int. J. Number Theory 10, No. 3, 623-636 (2014). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 PDF BibTeX XML Cite \textit{F. Luca} and \textit{Y. Tachiya}, Int. J. Number Theory 10, No. 3, 623--636 (2014; Zbl 1291.11101) Full Text: DOI OpenURL
Yakubovich, Semyon Integral and series transformations via Ramanujan’s identities and Salem’s type equivalences to the Riemann hypothesis. (English) Zbl 1348.44005 Integral Transforms Spec. Funct. 25, No. 4, 255-271 (2014). MSC: 44A15 11M06 11M36 33C05 33C15 33C10 PDF BibTeX XML Cite \textit{S. Yakubovich}, Integral Transforms Spec. Funct. 25, No. 4, 255--271 (2014; Zbl 1348.44005) Full Text: DOI arXiv OpenURL
Baruah, Nayandeep Deka; Nath, Kallol 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 PDF BibTeX XML Cite \textit{N. D. Baruah} and \textit{K. Nath}, Ramanujan Math. Soc. Lect. Notes Ser. 20, 99--110 (2013; Zbl 1361.11060) OpenURL
Disney, Stephen M.; Warburton, Roger D. H.; Zhong, Qing Chang Net present value analysis of the economic production quantity. (English) Zbl 1302.90067 IMA J. Manag. Math. 24, No. 4, 423-435 (2013). MSC: 90B30 90B05 91B38 PDF BibTeX XML Cite \textit{S. M. Disney} et al., IMA J. Manag. Math. 24, No. 4, 423--435 (2013; Zbl 1302.90067) Full Text: DOI Link OpenURL
Vandehey, Joseph On an incomplete argument of Erdős on the irrationality of Lambert series. (English) Zbl 1284.11101 Integers 13, Paper A58, 6 p. (2013). MSC: 11J72 PDF BibTeX XML Cite \textit{J. Vandehey}, Integers 13, Paper A58, 6 p. (2013; Zbl 1284.11101) Full Text: arXiv EMIS OpenURL
Bradley, David M.; Zhou, Xia 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). MSC: 11M41 11M06 05A30 33E20 30B50 PDF BibTeX XML Cite \textit{D. M. Bradley} and \textit{X. Zhou}, Springer Proc. Math. Stat. 50, 113--126 (2013; Zbl 1283.11127) Full Text: DOI OpenURL
van der Kamp, Peter H. On the Fourier transform of the greatest common divisor. (English) Zbl 1283.11010 Integers 13, Paper A24, 16 p. (2013). MSC: 11A25 11L03 11M41 PDF BibTeX XML Cite \textit{P. H. van der Kamp}, Integers 13, Paper A24, 16 p. (2013; Zbl 1283.11010) Full Text: arXiv EMIS OpenURL
Chan, Song Heng; Dixit, Atul; Garvan, Frank G. Rank-crank-type PDEs and generalized Lambert series identities. (English) Zbl 1328.11053 Ramanujan J. 31, No. 1-2, 163-189 (2013). Reviewer: Jeremy Lovejoy (Paris) MSC: 11F50 11P83 33D15 PDF BibTeX XML Cite \textit{S. H. Chan} et al., Ramanujan J. 31, No. 1--2, 163--189 (2013; Zbl 1328.11053) Full Text: DOI arXiv OpenURL
Toh, Pee Choon On representations by figurate numbers: a uniform approach to the conjectures of Melham. (English) Zbl 1281.11033 Int. J. Number Theory 9, No. 4, 1055-1071 (2013). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11E16 11D85 PDF BibTeX XML Cite \textit{P. C. Toh}, Int. J. Number Theory 9, No. 4, 1055--1071 (2013; Zbl 1281.11033) Full Text: DOI OpenURL
Wakayama, Masato; Yamamoto, Keitaro Non-linear algebraic differential equations satisfied by a certain family of elliptic functions. (English) Zbl 1279.11087 Ramanujan J. 30, No. 2, 173-186 (2013). MSC: 11M36 33E05 PDF BibTeX XML Cite \textit{M. Wakayama} and \textit{K. Yamamoto}, Ramanujan J. 30, No. 2, 173--186 (2013; Zbl 1279.11087) Full Text: DOI Link OpenURL
Liu, Zhi-Guo A \(q\)-series expansion formula and the Askey-Wilson polynomials. (English) Zbl 1433.33011 Ramanujan J. 30, No. 2, 193-210 (2013). MSC: 33D15 33D45 11E25 05A20 PDF BibTeX XML Cite \textit{Z.-G. Liu}, Ramanujan J. 30, No. 2, 193--210 (2013; Zbl 1433.33011) Full Text: DOI OpenURL
Fukushima, Toshio Precise and fast computation of Lambert \(W\)-functions without transcendental function evaluations. (English) Zbl 1260.65013 J. Comput. Appl. Math. 244, 77-89 (2013). MSC: 65D20 PDF BibTeX XML Cite \textit{T. Fukushima}, J. Comput. Appl. Math. 244, 77--89 (2013; Zbl 1260.65013) Full Text: DOI OpenURL
Chen, Chao-Ping; Deng, Ji-En Solutions of several open problems. (English) Zbl 1259.26019 Adv. Stud. Contemp. Math., Kyungshang 22, No. 4, 587-595 (2012). MSC: 26D07 26D15 PDF BibTeX XML Cite \textit{C.-P. Chen} and \textit{J.-E. Deng}, Adv. Stud. Contemp. Math., Kyungshang 22, No. 4, 587--595 (2012; Zbl 1259.26019) OpenURL
Chan, Heng Huat; Wan, James; Zudilin, Wadim Complex series for \(1/\pi\). (English) Zbl 1336.11079 Ramanujan J. 29, No. 1-3, 135-144 (2012). Reviewer: Cristinel Mortici (Târgovişte) MSC: 11Y60 11F11 11F03 33C05 33C20 PDF BibTeX XML Cite \textit{H. H. Chan} et al., Ramanujan J. 29, No. 1--3, 135--144 (2012; Zbl 1336.11079) Full Text: DOI OpenURL
McLaughlin, James; Zimmer, Peter A reciprocity relation for WP-Bailey pairs. (English) Zbl 1253.33018 Ramanujan J. 28, No. 2, 155-173 (2012). MSC: 33D15 11B65 05A19 11P84 PDF BibTeX XML Cite \textit{J. McLaughlin} and \textit{P. Zimmer}, Ramanujan J. 28, No. 2, 155--173 (2012; Zbl 1253.33018) Full Text: DOI arXiv OpenURL
Srivastava, Bhaskar On modular equations and Lambert series for a continued fraction of Ramanujan. (English) Zbl 1314.33018 Bull. Math. Anal. Appl. 3, No. 1, 148-155 (2011). MSC: 33D15 PDF BibTeX XML Cite \textit{B. Srivastava}, Bull. Math. Anal. Appl. 3, No. 1, 148--155 (2011; Zbl 1314.33018) Full Text: Link OpenURL
McLaughlin, James A new summation formula for WP-Bailey pairs. (English) Zbl 1299.33007 Appl. Anal. Discrete Math. 5, No. 1, 67-79 (2011). MSC: 33D15 11B65 PDF BibTeX XML Cite \textit{J. McLaughlin}, Appl. Anal. Discrete Math. 5, No. 1, 67--79 (2011; Zbl 1299.33007) Full Text: DOI arXiv OpenURL
Thorne, James D. Orbital maneuver optimization using time-explicit power series. (English) Zbl 1270.70076 Celest. Mech. Dyn. Astron. 110, No. 1, 31-42 (2011). MSC: 70M20 PDF BibTeX XML Cite \textit{J. D. Thorne}, Celest. Mech. Dyn. Astron. 110, No. 1, 31--42 (2011; Zbl 1270.70076) Full Text: DOI OpenURL
Duverney, Daniel 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). Reviewer: Yaochen Zhu (Beijing) MSC: 11J72 11A25 PDF BibTeX XML Cite \textit{D. Duverney}, AIP Conf. Proc. 1385, 5--16 (2011; Zbl 1302.11049) Full Text: DOI OpenURL
Brito, Paulo B.; Fabião, M. Fátima; Aubyn, António G. St. The Lambert function on the solution of a delay differential equation. (English) Zbl 1251.34079 Numer. Funct. Anal. Optim. 32, No. 11, 1116-1126 (2011). Reviewer: Pat Lumb (Chester) MSC: 34K07 34K06 33E20 PDF BibTeX XML Cite \textit{P. B. Brito} et al., Numer. Funct. Anal. Optim. 32, No. 11, 1116--1126 (2011; Zbl 1251.34079) Full Text: DOI OpenURL
Readdy, Margaret A. Enumerative and asymptotic analysis of a moduli space. (English) Zbl 1233.05222 Adv. Appl. Math. 47, No. 3, 575-588 (2011). MSC: 05E40 05A16 PDF BibTeX XML Cite \textit{M. A. Readdy}, Adv. Appl. Math. 47, No. 3, 575--588 (2011; Zbl 1233.05222) Full Text: DOI arXiv OpenURL
Srivastava, Bhaskar On the modular equations of degree \(m\) – a generalization. (English) Zbl 1267.11043 Math. Commun. 16, No. 1, 85-93 (2011). MSC: 11F27 33D15 33E05 PDF BibTeX XML Cite \textit{B. Srivastava}, Math. Commun. 16, No. 1, 85--93 (2011; Zbl 1267.11043) Full Text: Link OpenURL
Kanemitsu, Shigeru; Li, Hailong; Wang, Nianliang Weighted short-interval character sums. (English) Zbl 1319.11052 Proc. Am. Math. Soc. 139, No. 5, 1521-1532 (2011). Reviewer: John H. Loxton (Greenwich, NSW) MSC: 11L26 11B68 11L03 11S40 11T24 PDF BibTeX XML Cite \textit{S. Kanemitsu} et al., Proc. Am. Math. Soc. 139, No. 5, 1521--1532 (2011; Zbl 1319.11052) Full Text: DOI OpenURL