Konan, Isaac The \((k, l)\)-Euler theorem and the combinatorics of \((k, l)\)-sequences. (English) Zbl 07524343 Eur. J. Comb. 103, Article ID 103524, 71 p. (2022). MSC: 05A17 11P81 05A15 PDF BibTeX XML Cite \textit{I. Konan}, Eur. J. Comb. 103, Article ID 103524, 71 p. (2022; Zbl 07524343) 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
Kisselev, A. V. Ramanujan’s master theorem and two formulas for the zero-order Hankel transform. (English) Zbl 07490465 Ramanujan J. 57, No. 3, 1209-1221 (2022). MSC: 44A20 33C10 PDF BibTeX XML Cite \textit{A. V. Kisselev}, Ramanujan J. 57, No. 3, 1209--1221 (2022; Zbl 07490465) Full Text: DOI arXiv OpenURL
Harshitha, K. N.; Vasuki, K. R.; Yathirajsharma, M. V. Trigonometric sums through Ramanujan’s theory of theta functions. (English) Zbl 1483.11168 Ramanujan J. 57, No. 3, 931-948 (2022). MSC: 11L03 11F20 33C75 PDF BibTeX XML Cite \textit{K. N. Harshitha} et al., Ramanujan J. 57, No. 3, 931--948 (2022; Zbl 1483.11168) Full Text: DOI OpenURL
Ismail, Mourad E. H.; Zhang, Ruiming Integral and series representations of \(q\)-polynomials and functions. III: Theta, Ramanujan and \(q\)-Bessel functions. (English) Zbl 07484159 Anal. Appl., Singap. 20, No. 1, 1-18 (2022). MSC: 33D15 33D60 33D05 33D45 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Anal. Appl., Singap. 20, No. 1, 1--18 (2022; Zbl 07484159) Full Text: DOI OpenURL
Chen, Rong; Garvan, F. G. A proof of the mod 4 unimodal sequence conjectures and related mock theta functions. (English) Zbl 07483909 Adv. Math. 398, Article ID 108235, 50 p. (2022). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11F03 11E41 11F33 11F37 11P81 11P83 11P84 33D15 05A17 PDF BibTeX XML Cite \textit{R. Chen} and \textit{F. G. Garvan}, Adv. Math. 398, Article ID 108235, 50 p. (2022; Zbl 07483909) Full Text: DOI arXiv OpenURL
Mastrostefano, Daniele A lower bound for the variance of generalized divisor functions in arithmetic progressions. (English) Zbl 07472666 Ramanujan J. 57, No. 2, 623-695 (2022). MSC: 11N64 11B25 PDF BibTeX XML Cite \textit{D. Mastrostefano}, Ramanujan J. 57, No. 2, 623--695 (2022; Zbl 07472666) Full Text: DOI arXiv OpenURL
Chen, Hongwei Interesting Ramanujan-like series associated with powers of central binomial coefficients. (English) Zbl 07471085 J. Integer Seq. 25, No. 1, Article 22.1.8, 16 p. (2022). Reviewer: Toufik Mansour (Haifa) MSC: 11B83 11B65 05A10 PDF BibTeX XML Cite \textit{H. Chen}, J. Integer Seq. 25, No. 1, Article 22.1.8, 16 p. (2022; Zbl 07471085) Full Text: Link OpenURL
Drema, Rinchin; Saikia, Nipen Arithmetic properties for \((r,s)\)-regular partition functions with distinct parts. (English) Zbl 07469701 Rend. Mat. Appl., VII. Ser. 43, No. 1, 23-35 (2022). MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{R. Drema} and \textit{N. Saikia}, Rend. Mat. Appl., VII. Ser. 43, No. 1, 23--35 (2022; Zbl 07469701) Full Text: arXiv Link OpenURL
Andrews, George E.; Paule, Peter MacMahon’s partition analysis XIII: Schmidt type partitions and modular forms. (English) Zbl 07466544 J. Number Theory 234, 95-119 (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 11F20 05A17 05A15 11F03 11Y99 PDF BibTeX XML Cite \textit{G. E. Andrews} and \textit{P. Paule}, J. Number Theory 234, 95--119 (2022; Zbl 07466544) Full Text: DOI OpenURL
Drema, Rinchin; Saikia, Nipen Arithmetic properties for \(\ell\)-regular partition functions with distinct even parts. (English) Zbl 07462225 Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 10, 20 p. (2022). MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{R. Drema} and \textit{N. Saikia}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 10, 20 p. (2022; Zbl 07462225) Full Text: DOI OpenURL
Chirre, Andrés; Velásquez Castañón, Oswaldo A note on the zeros of approximations of the Ramanujan \(\Xi \)-function. (English) Zbl 1483.11184 Ramanujan J. 57, No. 1, 389-400 (2022). MSC: 11M26 30D10 PDF BibTeX XML Cite \textit{A. Chirre} and \textit{O. Velásquez Castañón}, Ramanujan J. 57, No. 1, 389--400 (2022; Zbl 1483.11184) Full Text: DOI arXiv OpenURL
Chaudhary, M. P.; Chaudhary, Sangeeta; Goswami, Gopi Kant A family of theta-function identities based upon \(R_m\)-functions related to Jacobi’s triple-product identity. (English) Zbl 07459026 J. Fract. Calc. Appl. 13, No. 1, 225-229 (2022). MSC: 05A30 11F27 05A17 11P83 PDF BibTeX XML Cite \textit{M. P. Chaudhary} et al., J. Fract. Calc. Appl. 13, No. 1, 225--229 (2022; Zbl 07459026) Full Text: Link OpenURL
Xia, Ernest X. W.; Yee, Ae Ja; Zhao, Xiang New truncated theorems for three classical theta function identities. (English) Zbl 1480.05010 Eur. J. Comb. 101, Article ID 103470, 23 p. (2022). MSC: 05A17 05A15 11P84 PDF BibTeX XML Cite \textit{E. X. W. Xia} et al., Eur. J. Comb. 101, Article ID 103470, 23 p. (2022; Zbl 1480.05010) Full Text: DOI OpenURL
Berndt, Bruce C.; Fassina, Martino; Kim, Sun; Zaharescu, Alexandru Balanced derivatives, identities, and bounds for trigonometric and Bessel series. (English) Zbl 07456614 Adv. Math. 395, Article ID 108085, 40 p. (2022). MSC: 11L03 33C10 11L07 PDF BibTeX XML Cite \textit{B. C. Berndt} et al., Adv. Math. 395, Article ID 108085, 40 p. (2022; Zbl 07456614) Full Text: DOI arXiv OpenURL
Zhao, Tie-Hong; Wang, Miao-Kun; Hai, Guo-Jing; Chu, Yu-Ming Landen inequalities for Gaussian hypergeometric function. (English) Zbl 07454680 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 53, 23 p. (2022). MSC: 33E05 33C05 PDF BibTeX XML Cite \textit{T.-H. Zhao} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 53, 23 p. (2022; Zbl 07454680) Full Text: DOI OpenURL
Corteel, Sylvie; Dousse, Jehanne; Uncu, Ali Kemal Cylindric partitions and some new \(A_2\) Rogers-Ramanujan identities. (English) Zbl 1479.05012 Proc. Am. Math. Soc. 150, No. 2, 481-497 (2022). MSC: 05A15 05A17 05A19 05A30 05E10 11P81 11P84 PDF BibTeX XML Cite \textit{S. Corteel} et al., Proc. Am. Math. Soc. 150, No. 2, 481--497 (2022; Zbl 1479.05012) Full Text: DOI arXiv OpenURL
Mao, Renrong On total number parts functions associated to ranks of overpartitions. (English) Zbl 1483.11234 J. Math. Anal. Appl. 506, No. 2, Article ID 125715, 16 p. (2022). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11P84 05A17 PDF BibTeX XML Cite \textit{R. Mao}, J. Math. Anal. Appl. 506, No. 2, Article ID 125715, 16 p. (2022; Zbl 1483.11234) Full Text: DOI OpenURL
Berndt, Bruce C.; Fassina, Martino; Kim, Sun; Zaharescu, Alexandru Two-parameter identities for divisor sums in algebraic number fields. (English) Zbl 1474.11159 J. Math. Anal. Appl. 506, No. 2, Article ID 125679, 25 p. (2022). MSC: 11N37 11R42 33C10 PDF BibTeX XML Cite \textit{B. C. Berndt} et al., J. Math. Anal. Appl. 506, No. 2, Article ID 125679, 25 p. (2022; Zbl 1474.11159) Full Text: DOI arXiv OpenURL
Alegri, Mateus A series expansion for the \(b(s)\) Brouncker-Ramanujan function. (English) Zbl 07524180 J. Ramanujan Soc. Math. Math. Sci. 9, No. 1, 83-90 (2021). MSC: 40A99 33B99 PDF BibTeX XML Cite \textit{M. Alegri}, J. Ramanujan Soc. Math. Math. Sci. 9, No. 1, 83--90 (2021; Zbl 07524180) Full Text: Link OpenURL
Lovejoy, Jeremy Quantum \(q\)-series identities. (English) Zbl 07475394 Hardy-Ramanujan J. 44, 61-73 (2021). MSC: 33D15 PDF BibTeX XML Cite \textit{J. Lovejoy}, Hardy-Ramanujan J. 44, 61--73 (2021; Zbl 07475394) Full Text: DOI OpenURL
Berndt, Bruce C.; Rebák, Örs Explicit values for Ramanujan’s theta function \(\varphi(q)\). (English) Zbl 1479.11068 Hardy-Ramanujan J. 44, 41-50 (2021). MSC: 11F27 PDF BibTeX XML Cite \textit{B. C. Berndt} and \textit{Ö. Rebák}, Hardy-Ramanujan J. 44, 41--50 (2021; Zbl 1479.11068) Full Text: DOI arXiv OpenURL
Xu, Ce Extensions of Euler-type sums and Ramanujan-type sums. (English) Zbl 07474141 Kyushu J. Math. 75, No. 2, 295-322 (2021). MSC: 65B10 11M99 11M06 11M32 PDF BibTeX XML Cite \textit{C. Xu}, Kyushu J. Math. 75, No. 2, 295--322 (2021; Zbl 07474141) Full Text: DOI arXiv OpenURL
Campbell, John M. A WZ proof for a Ramanujan-like series involving cubed binomial coefficients. (English) Zbl 07442739 J. Difference Equ. Appl. 27, No. 10, 1507-1511 (2021). MSC: 33F10 PDF BibTeX XML Cite \textit{J. M. Campbell}, J. Difference Equ. Appl. 27, No. 10, 1507--1511 (2021; Zbl 07442739) Full Text: DOI OpenURL
Chu, Wenchang Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations. (English) Zbl 07438412 Ramanujan J. 56, No. 3, 1007-1027 (2021). MSC: 33C20 33C60 PDF BibTeX XML Cite \textit{W. Chu}, Ramanujan J. 56, No. 3, 1007--1027 (2021; Zbl 07438412) Full Text: DOI OpenURL
Zhai, Wenguang The average size of Ramanujan sums over quadratic number fields. (English) Zbl 1475.11176 Ramanujan J. 56, No. 3, 953-969 (2021). MSC: 11N37 11L03 PDF BibTeX XML Cite \textit{W. Zhai}, Ramanujan J. 56, No. 3, 953--969 (2021; Zbl 1475.11176) Full Text: DOI arXiv OpenURL
Ye, Dongxi Ramanujan’s function \(k\), revisited. (English) Zbl 1475.11066 Ramanujan J. 56, No. 3, 931-952 (2021). MSC: 11F03 11F11 PDF BibTeX XML Cite \textit{D. Ye}, Ramanujan J. 56, No. 3, 931--952 (2021; Zbl 1475.11066) Full Text: DOI OpenURL
Pongsriiam, Prapanpong; Vaughan, Robert C. The divisor function on residue classes. III. (English) Zbl 1482.11131 Ramanujan J. 56, No. 2, 697-719 (2021). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11A25 11B25 PDF BibTeX XML Cite \textit{P. Pongsriiam} and \textit{R. C. Vaughan}, Ramanujan J. 56, No. 2, 697--719 (2021; Zbl 1482.11131) Full Text: DOI OpenURL
Ge, Ji-Ke; Luo, Qiu-Ming Some extensions for Ramanujan’s circular summation formulas and applications. (English) Zbl 07434811 Ramanujan J. 56, No. 2, 491-518 (2021). MSC: 11F27 11F20 33E05 PDF BibTeX XML Cite \textit{J.-K. Ge} and \textit{Q.-M. Luo}, Ramanujan J. 56, No. 2, 491--518 (2021; Zbl 07434811) Full Text: DOI arXiv OpenURL
Tang, Dazhao On 5- and 10-dissections for some infinite products. (English) Zbl 1478.11067 Ramanujan J. 56, No. 2, 425-450 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11F27 11B65 30B10 PDF BibTeX XML Cite \textit{D. Tang}, Ramanujan J. 56, No. 2, 425--450 (2021; Zbl 1478.11067) Full Text: DOI OpenURL
Daniyarkhodzhaev, A. T.; Korolev, M. A. On a Ramanujan identity and its generalizations. (English. Russian original) Zbl 07431871 Math. Notes 110, No. 4, 511-521 (2021); translation from Mat. Zametki 110, No. 4, 524-536 (2021). MSC: 11M06 11F03 11M41 PDF BibTeX XML Cite \textit{A. T. Daniyarkhodzhaev} and \textit{M. A. Korolev}, Math. Notes 110, No. 4, 511--521 (2021; Zbl 07431871); translation from Mat. Zametki 110, No. 4, 524--536 (2021) Full Text: DOI OpenURL
Laporta, Maurizio On Ramanujan expansions with multiplicative coefficients. (English) Zbl 1482.11006 Indian J. Pure Appl. Math. 52, No. 2, 486-504 (2021). Reviewer: László Tóth (Pécs) MSC: 11A25 11N37 11K65 PDF BibTeX XML Cite \textit{M. Laporta}, Indian J. Pure Appl. Math. 52, No. 2, 486--504 (2021; Zbl 1482.11006) Full Text: DOI OpenURL
Lin, Bernard L. S.; Xiao, Jiejuan New congruences modulo 5 for partition related to mock theta function \(\omega (q)\). (English) Zbl 1474.11177 Indian J. Pure Appl. Math. 52, No. 1, 141-148 (2021). MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{B. L. S. Lin} and \textit{J. Xiao}, Indian J. Pure Appl. Math. 52, No. 1, 141--148 (2021; Zbl 1474.11177) Full Text: DOI OpenURL
Yang, Liyang Average of Dirichlet coefficients of cuspidal representations related to \(\mathrm{GL}(2)\). (English) Zbl 1482.11075 Ramanujan J. 56, No. 1, 203-234 (2021). Reviewer: Hongjie Yu (Wien) MSC: 11F66 11F70 PDF BibTeX XML Cite \textit{L. Yang}, Ramanujan J. 56, No. 1, 203--234 (2021; Zbl 1482.11075) Full Text: DOI arXiv OpenURL
Bulkhali, Nasser Abdo Saeed; Dasappa, Ranganatha Modular relations for the Rogers-Ramanujan functions with applications to partitions. (English) Zbl 07420086 Ramanujan J. 56, No. 1, 121-139 (2021). MSC: 33D15 11P82 11P83 33D90 PDF BibTeX XML Cite \textit{N. A. S. Bulkhali} and \textit{R. Dasappa}, Ramanujan J. 56, No. 1, 121--139 (2021; Zbl 07420086) Full Text: DOI OpenURL
Wang, Miao-Kun; Chu, Hong-Hu; Chu, Yu-Ming On the approximation of some special functions in Ramanujan’s generalized modular equation with signature \(3^{\ast}\). (English) Zbl 07420081 Ramanujan J. 56, No. 1, 1-22 (2021). MSC: 33C05 11F03 PDF BibTeX XML Cite \textit{M.-K. Wang} et al., Ramanujan J. 56, No. 1, 1--22 (2021; Zbl 07420081) Full Text: DOI OpenURL
Merca, Mircea Truncated theta series and Rogers-Ramanujan functions. (English) Zbl 1482.05017 Exp. Math. 30, No. 3, 364-371 (2021). Reviewer: Uğur Duran (Iskenderun) MSC: 05A17 05A19 05A20 05A30 PDF BibTeX XML Cite \textit{M. Merca}, Exp. Math. 30, No. 3, 364--371 (2021; Zbl 1482.05017) Full Text: DOI OpenURL
Xia, Ernest X. W. New congruence properties for Ramanujan’s \(\phi\) function. (English) Zbl 1483.11232 Proc. Am. Math. Soc. 149, No. 12, 4985-4999 (2021). Reviewer: Donna Q. J. Dou (Changchun) MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{E. X. W. Xia}, Proc. Am. Math. Soc. 149, No. 12, 4985--4999 (2021; Zbl 1483.11232) Full Text: DOI OpenURL
Hemmecke, Ralf; Paule, Peter; Radu, Cristian-Silviu Construction of modular function bases for \(\Gamma_0 (121)\) related to \(p(11n+6)\). (English) Zbl 1470.11066 Integral Transforms Spec. Funct. 32, No. 5-8, 512-527 (2021). MSC: 11F03 11P83 14H55 PDF BibTeX XML Cite \textit{R. Hemmecke} et al., Integral Transforms Spec. Funct. 32, No. 5--8, 512--527 (2021; Zbl 1470.11066) Full Text: DOI OpenURL
Zhang, Helen W. J. Dyson’s rank, overpartitions, and universal mock theta functions. (English) Zbl 1482.11143 Can. Math. Bull. 64, No. 3, 687-696 (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P84 11B65 11F11 11F27 PDF BibTeX XML Cite \textit{H. W. J. Zhang}, Can. Math. Bull. 64, No. 3, 687--696 (2021; Zbl 1482.11143) Full Text: DOI OpenURL
Baruah, Nayandeep Deka; Das, Hirakjyoti Families of congruences for fractional partition functions modulo powers of primes. (English) Zbl 1481.11101 Res. Number Theory 7, No. 4, Paper No. 57, 21 p. (2021). Reviewer: Dazhao Tang (Chongqing) MSC: 11P83 05A15 05A17 PDF BibTeX XML Cite \textit{N. D. Baruah} and \textit{H. Das}, Res. Number Theory 7, No. 4, Paper No. 57, 21 p. (2021; Zbl 1481.11101) Full Text: DOI arXiv OpenURL
Schlage-Puchta, Jan-Christoph A determinant involving Ramanujan sums and So’s conjecture. (English) Zbl 07394758 Arch. Math. 117, No. 4, 379-384 (2021). Reviewer: Jürgen Spilker (Freiburg im Breisgau) MSC: 11A25 05C25 20K01 PDF BibTeX XML Cite \textit{J.-C. Schlage-Puchta}, Arch. Math. 117, No. 4, 379--384 (2021; Zbl 07394758) Full Text: DOI OpenURL
Qureshi, Mohammad Idris; Dar, Showkat Ahmad Generalizations and applications of Srinivasa Ramanujan’s integral associated with infinite Fourier sine transforms in terms of Meijer’s \(G\)-function. (English) Zbl 1481.42006 Analysis, München 41, No. 3, 145-153 (2021). MSC: 42A38 33C20 33C60 33E20 PDF BibTeX XML Cite \textit{M. I. Qureshi} and \textit{S. A. Dar}, Analysis, München 41, No. 3, 145--153 (2021; Zbl 1481.42006) Full Text: DOI OpenURL
Uncu, Ali Kemal On double sum generating functions in connection with some classical partition theorems. (English) Zbl 1472.05020 Discrete Math. 344, No. 11, Article ID 112562, 21 p. (2021). MSC: 05A17 05A15 05A19 05A30 11P84 PDF BibTeX XML Cite \textit{A. K. Uncu}, Discrete Math. 344, No. 11, Article ID 112562, 21 p. (2021; Zbl 1472.05020) Full Text: DOI arXiv OpenURL
Wang, Liuquan Parity of coefficients of mock theta functions. (English) Zbl 1483.11081 J. Number Theory 229, 53-99 (2021). MSC: 11F27 11F37 11D57 11E25 11P83 11P84 PDF BibTeX XML Cite \textit{L. Wang}, J. Number Theory 229, 53--99 (2021; Zbl 1483.11081) Full Text: DOI arXiv OpenURL
Hong, Nankun On three identities of Ramanujan. (English) Zbl 1469.11402 Ramanujan J. 55, No. 3, 1113-1125 (2021). MSC: 11P81 05A17 11F27 11P84 PDF BibTeX XML Cite \textit{N. Hong}, Ramanujan J. 55, No. 3, 1113--1125 (2021; Zbl 1469.11402) Full Text: DOI OpenURL
Méndez, Miguel A. Shift-plethystic trees and Rogers-Ramanujan identities. (English) Zbl 1470.05022 Ramanujan J. 55, No. 3, 943-964 (2021). MSC: 05A19 05A17 11P84 05A15 11P81 PDF BibTeX XML Cite \textit{M. A. Méndez}, Ramanujan J. 55, No. 3, 943--964 (2021; Zbl 1470.05022) Full Text: DOI arXiv OpenURL
Matsuda, Kazuhide Note on Halphen’s system. (English) Zbl 07383296 Ramanujan J. 55, No. 3, 873-917 (2021). MSC: 14K25 11E25 11F27 14H40 PDF BibTeX XML Cite \textit{K. Matsuda}, Ramanujan J. 55, No. 3, 873--917 (2021; Zbl 07383296) Full Text: DOI OpenURL
Cui, Su-Ping; Gu, Nancy S. S. On odd ranks of odd Durfee symbols. (English) Zbl 1480.11134 Int. J. Number Theory 17, No. 7, 1569-1582 (2021). MSC: 11P84 11B65 11F27 PDF BibTeX XML Cite \textit{S.-P. Cui} and \textit{N. S. S. Gu}, Int. J. Number Theory 17, No. 7, 1569--1582 (2021; Zbl 1480.11134) Full Text: DOI OpenURL
Morton, Patrick Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. III. (English) Zbl 07382051 New York J. Math. 27, 787-817 (2021). MSC: 11D41 11G07 11G15 14H05 PDF BibTeX XML Cite \textit{P. Morton}, New York J. Math. 27, 787--817 (2021; Zbl 07382051) Full Text: arXiv Link OpenURL
Zhao, Tie-Hong; Wang, Miao-Kun; Chu, Yu-Ming Concavity and bounds involving generalized elliptic integral of the first kind. (English) Zbl 1472.33013 J. Math. Inequal. 15, No. 2, 701-724 (2021). Reviewer: Klaus Schiefermayr (Wels) MSC: 33E05 26A51 33C05 PDF BibTeX XML Cite \textit{T.-H. Zhao} et al., J. Math. Inequal. 15, No. 2, 701--724 (2021; Zbl 1472.33013) Full Text: DOI OpenURL
Huang, Ti-Ren; Chen, Lu; Tan, Shen-Yang; Chu, Yu-Ming Monotonicity, convexity and bounds involving the beta and Ramanujan \(R\)-functions. (English) Zbl 1472.33003 J. Math. Inequal. 15, No. 2, 615-628 (2021). MSC: 33C05 26D20 PDF BibTeX XML Cite \textit{T.-R. Huang} et al., J. Math. Inequal. 15, No. 2, 615--628 (2021; Zbl 1472.33003) Full Text: DOI OpenURL
Lau, Yuk-Kam; Ng, Ming Ho; Wang, Yingnan On the exceptional set of the generalized Ramanujan conjecture for \(\mathrm{GL}(3)\). (English) Zbl 1478.11080 Isr. J. Math. 242, No. 1, 279-289 (2021). Reviewer: Bin Xu (Beijing) MSC: 11F70 11F72 11F66 PDF BibTeX XML Cite \textit{Y.-K. Lau} et al., Isr. J. Math. 242, No. 1, 279--289 (2021; Zbl 1478.11080) Full Text: DOI OpenURL
Merca, Mircea Polygonal numbers and Rogers-Ramanujan-Gordon theorem. (English) Zbl 07369456 Ramanujan J. 55, No. 2, 783-792 (2021). Reviewer: John H. Loxton (Greenwich) MSC: 11P81 11P84 05A17 05A20 PDF BibTeX XML Cite \textit{M. Merca}, Ramanujan J. 55, No. 2, 783--792 (2021; Zbl 07369456) Full Text: DOI OpenURL
Burnett, Joseph Vade; Osterman, Otto Vaughn A generalization of regular convolutions and Ramanujan sums. (English) Zbl 1472.11032 Ramanujan J. 55, No. 2, 437-445 (2021). Reviewer: Giovanni Coppola (Napoli) MSC: 11A25 11N64 PDF BibTeX XML Cite \textit{J. V. Burnett} and \textit{O. V. Osterman}, Ramanujan J. 55, No. 2, 437--445 (2021; Zbl 1472.11032) Full Text: DOI OpenURL
Chern, Shane Partitions and the maximal excludant. (English) Zbl 1467.05018 Electron. J. Comb. 28, No. 3, Research Paper P3.13, 9 p. (2021). MSC: 05A17 05A19 05A15 11P84 11P81 PDF BibTeX XML Cite \textit{S. Chern}, Electron. J. Comb. 28, No. 3, Research Paper P3.13, 9 p. (2021; Zbl 1467.05018) Full Text: DOI arXiv OpenURL
Gireesh, D. S.; Ray, Chiranjit; Shivashankar, C. A new analogue of \(t\)-core partitions. (English) Zbl 1468.05013 Acta Arith. 199, No. 1, 33-53 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 05A17 05A15 11F11 11F20 11F33 11P81 11P84 PDF BibTeX XML Cite \textit{D. S. Gireesh} et al., Acta Arith. 199, No. 1, 33--53 (2021; Zbl 1468.05013) Full Text: DOI OpenURL
Babu, E. Kiran; Prasad, V. Raghavendra; Goud, Y. Rajasekhara Matrix based unitary Ramanujan sums transforms. (English) Zbl 1469.11008 Palest. J. Math. 10, Spec. Iss. I, 39-43 (2021). MSC: 11A25 94A12 11L03 PDF BibTeX XML Cite \textit{E. K. Babu} et al., Palest. J. Math. 10, 39--43 (2021; Zbl 1469.11008) Full Text: Link OpenURL
Campbell, John Maxwell New families of double hypergeometric series for constants involving \(1/\pi^2\). (English) Zbl 1483.33008 Ann. Pol. Math. 126, No. 1, 1-20 (2021). MSC: 33C75 11M06 33F05 PDF BibTeX XML Cite \textit{J. M. Campbell}, Ann. Pol. Math. 126, No. 1, 1--20 (2021; Zbl 1483.33008) Full Text: DOI OpenURL
Saikia, Nipen Partition-theoretic interpretations of some \(q\)-series identities of Ramanujan. (English) Zbl 1474.11181 Kuwait J. Sci. 48, No. 2, Article 2, 6 p. (2021). MSC: 11P84 05A30 11F27 PDF BibTeX XML Cite \textit{N. Saikia}, Kuwait J. Sci. 48, No. 2, Article 2, 6 p. (2021; Zbl 1474.11181) Full Text: DOI OpenURL
Boruah, Chayanika; Saikia, Nipen New theta function identities for a continued fraction of Ramanujan and their applications. (English) Zbl 07363580 Afr. Mat. 32, No. 1-2, 241-251 (2021). MSC: 11F27 33D90 PDF BibTeX XML Cite \textit{C. Boruah} and \textit{N. Saikia}, Afr. Mat. 32, No. 1--2, 241--251 (2021; Zbl 07363580) Full Text: DOI OpenURL
Rains, Eric M.; Warnaar, S. Ole Bounded Littlewood identities. (English) Zbl 1467.05001 Memoirs of the American Mathematical Society 1317. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4690-1/pbk; 978-1-4704-6522-3/ebook). vii, 115 p. (2021). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05-02 05E05 05E10 05A15 05A17 17B67 33D67 11P84 PDF BibTeX XML Cite \textit{E. M. Rains} and \textit{S. O. Warnaar}, Bounded Littlewood identities. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1467.05001) Full Text: DOI arXiv OpenURL
Mendez, Miguel Shift-plethysm, hydra continued fractions, and \(m\)-distinct partitions. (English) Zbl 1466.05006 Eur. J. Comb. 95, Article ID 103340, 24 p. (2021). MSC: 05A15 05A17 05A40 11P81 11A55 PDF BibTeX XML Cite \textit{M. Mendez}, Eur. J. Comb. 95, Article ID 103340, 24 p. (2021; Zbl 1466.05006) Full Text: DOI arXiv OpenURL
Ma, Xiao-Yan; Huang, Ti-Ren Inequalities for Gaussian hypergeometric functions. (English) Zbl 1466.33003 J. Math. Inequal. 15, No. 1, 1-8 (2021). MSC: 33C05 39B62 PDF BibTeX XML Cite \textit{X.-Y. Ma} and \textit{T.-R. Huang}, J. Math. Inequal. 15, No. 1, 1--8 (2021; Zbl 1466.33003) Full Text: DOI OpenURL
Wei, Chuanan; Gong, Dianxuan Several transformation formulas for basic hypergeometric series. (English) Zbl 1465.33013 J. Difference Equ. Appl. 27, No. 2, 157-171 (2021). MSC: 33D15 05A19 PDF BibTeX XML Cite \textit{C. Wei} and \textit{D. Gong}, J. Difference Equ. Appl. 27, No. 2, 157--171 (2021; Zbl 1465.33013) Full Text: DOI arXiv OpenURL
Kurşungöz, Kağan A combinatorial construction for two formulas in Slater’s list. (English) Zbl 1465.05015 Int. J. Number Theory 17, No. 3, 655-663 (2021). MSC: 05A17 05A15 05A19 11P84 PDF BibTeX XML Cite \textit{K. Kurşungöz}, Int. J. Number Theory 17, No. 3, 655--663 (2021; Zbl 1465.05015) Full Text: DOI arXiv OpenURL
Chaudhary, M. P.; Chaudhary, Sangeeta A family of theta-function identities involving \(R_\alpha\), \(R_\beta\) and \(R_m\)-functions related to Jacobi’s triple-product identity. (English) Zbl 1465.05018 J. Contemp. Appl. Math. 11, No. 1, 32-43 (2021). MSC: 05A30 11F27 05A17 11P83 PDF BibTeX XML Cite \textit{M. P. Chaudhary} and \textit{S. Chaudhary}, J. Contemp. Appl. Math. 11, No. 1, 32--43 (2021; Zbl 1465.05018) Full Text: Link OpenURL
Tian, Jing-Feng; Yang, Zhenhang; Ha, Ming-Hu; Xing, Hong-Jie A family of high order approximations of Ramanujan type for perimeter of an ellipse. (English) Zbl 1467.33021 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 85, 20 p. (2021). MSC: 33E05 26A48 26D15 40A25 41A60 PDF BibTeX XML Cite \textit{J.-F. Tian} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 85, 20 p. (2021; Zbl 1467.33021) Full Text: DOI OpenURL
Chen, Xiaojing; Chu, Wenchang Hidden \(q\)-analogues of Ramanujan-like \(\pi\)-series. (English) Zbl 1476.33011 Ramanujan J. 54, No. 3, 625-648 (2021). Reviewer: István Mező (Nanjing) MSC: 33D15 33C20 PDF BibTeX XML Cite \textit{X. Chen} and \textit{W. Chu}, Ramanujan J. 54, No. 3, 625--648 (2021; Zbl 1476.33011) Full Text: DOI OpenURL
Randazzo, Lucas Arboretum for a generalisation of Ramanujan polynomials. (English) Zbl 1462.05037 Ramanujan J. 54, No. 3, 591-604 (2021). MSC: 05A19 05A15 05C25 05C05 05C10 05C78 05C31 PDF BibTeX XML Cite \textit{L. Randazzo}, Ramanujan J. 54, No. 3, 591--604 (2021; Zbl 1462.05037) Full Text: DOI arXiv OpenURL
Kisselev, A. V. Exact expansions of Hankel transforms and related integrals. (English) Zbl 1470.44006 Ramanujan J. 55, No. 1, 349-367 (2021). MSC: 44A20 33C10 PDF BibTeX XML Cite \textit{A. V. Kisselev}, Ramanujan J. 55, No. 1, 349--367 (2021; Zbl 1470.44006) Full Text: DOI arXiv OpenURL
Deniz, Erhan Geometric and monotonic properties of Ramanujan type entire functions. (English) Zbl 1468.30028 Ramanujan J. 55, No. 1, 103-130 (2021). MSC: 30C45 PDF BibTeX XML Cite \textit{E. Deniz}, Ramanujan J. 55, No. 1, 103--130 (2021; Zbl 1468.30028) Full Text: DOI OpenURL
Coelho, Terence; Kim, Jongwon; Russell, Matthew C. A complete generalization of Göllnitz’s “big” theorem. (English) Zbl 1462.05028 Ramanujan J. 55, No. 1, 73-102 (2021). MSC: 05A17 05A15 11P81 11P84 PDF BibTeX XML Cite \textit{T. Coelho} et al., Ramanujan J. 55, No. 1, 73--102 (2021; Zbl 1462.05028) Full Text: DOI OpenURL
Lin, Gwo Dong; Hu, Chin-Yuan Formulas of absolute moments. (English) Zbl 1459.60042 Sankhyā, Ser. A 83, No. 1, 476-495 (2021). MSC: 60E10 42A38 42A70 PDF BibTeX XML Cite \textit{G. D. Lin} and \textit{C.-Y. Hu}, Sankhyā, Ser. A 83, No. 1, 476--495 (2021; Zbl 1459.60042) Full Text: DOI OpenURL
Ushiroya, Noboru Shifted convolution sums of arithmetic functions of two variables and Ramanujan expansions. (English) Zbl 1475.11010 Integers 21, Paper A30, 15 p. (2021). Reviewer: Jürgen Spilker (Freiburg im Breisgau) MSC: 11A25 PDF BibTeX XML Cite \textit{N. Ushiroya}, Integers 21, Paper A30, 15 p. (2021; Zbl 1475.11010) Full Text: Link OpenURL
Chen, William Y. C.; Yang, Harold R. L. A context-free grammar for the Ramanujan-Shor polynomials. (English) Zbl 07336880 Adv. Appl. Math. 126, Article ID 101908, 24 p. (2021). MSC: 68Q42 05A05 05A15 PDF BibTeX XML Cite \textit{W. Y. C. Chen} and \textit{H. R. L. Yang}, Adv. Appl. Math. 126, Article ID 101908, 24 p. (2021; Zbl 07336880) Full Text: DOI arXiv OpenURL
Erban, Radek; Van Gorder, Robert A. On the sum of positive divisors functions. (English) Zbl 1478.11063 Res. Number Theory 7, No. 2, Paper No. 25, 10 p. (2021). MSC: 11F11 11A25 34A12 34C05 37A44 PDF BibTeX XML Cite \textit{R. Erban} and \textit{R. A. Van Gorder}, Res. Number Theory 7, No. 2, Paper No. 25, 10 p. (2021; Zbl 1478.11063) Full Text: DOI OpenURL
Qureshi, M. I.; Dar, Showkat Ahmad Computation of three theorems of Srinivasa Ramanujan associated with definite integrals connected with Gauss sums. (English) Zbl 07336000 Palest. J. Math. 10, No. 1, 184-198 (2021). MSC: 65-XX 33F05 42A38 68W30 PDF BibTeX XML Cite \textit{M. I. Qureshi} and \textit{S. A. Dar}, Palest. J. Math. 10, No. 1, 184--198 (2021; Zbl 07336000) Full Text: Link OpenURL
Namboothiri, K. Vishnu A formula for the number of solutions of a restricted linear congruence. (English) Zbl 07332741 Math. Bohem. 146, No. 1, 47-54 (2021). MSC: 11D79 11P83 11L03 11A25 42A16 PDF BibTeX XML Cite \textit{K. V. Namboothiri}, Math. Bohem. 146, No. 1, 47--54 (2021; Zbl 07332741) Full Text: DOI OpenURL
Heim, Bernhard; Neuhauser, Markus Polynomials and reciprocals of Eisenstein series. (English) Zbl 1468.11104 Int. J. Number Theory 17, No. 2, 487-497 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F30 11M36 26C10 05A17 11B37 PDF BibTeX XML Cite \textit{B. Heim} and \textit{M. Neuhauser}, Int. J. Number Theory 17, No. 2, 487--497 (2021; Zbl 1468.11104) Full Text: DOI OpenURL
Guillera, Jesús Proof of a rational Ramanujan-type series for \(1/\pi\). The fastest one in level 3. (English) Zbl 1461.33009 Int. J. Number Theory 17, No. 2, 473-477 (2021). Reviewer: Richard B. Paris (Dundee) MSC: 33E05 11F03 33C05 33C20 PDF BibTeX XML Cite \textit{J. Guillera}, Int. J. Number Theory 17, No. 2, 473--477 (2021; Zbl 1461.33009) Full Text: DOI arXiv OpenURL
Gugg, Chadwick On conjectures of Koike and Somos for modular identities for the Rogers-Ramanujan functions. (English) Zbl 1466.11076 Int. J. Number Theory 17, No. 2, 435-472 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 33D90 PDF BibTeX XML Cite \textit{C. Gugg}, Int. J. Number Theory 17, No. 2, 435--472 (2021; Zbl 1466.11076) Full Text: DOI OpenURL
Folsom, Amanda Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms. (English) Zbl 1470.11098 Int. J. Number Theory 17, No. 2, 425-434 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F99 33D15 33D70 PDF BibTeX XML Cite \textit{A. Folsom}, Int. J. Number Theory 17, No. 2, 425--434 (2021; Zbl 1470.11098) Full Text: DOI OpenURL
Chan, Hei-Chi Chasing after cancellations: revisiting a classic identity that implies the Rogers-Ramanujan identities. (English) Zbl 1460.05025 Int. J. Number Theory 17, No. 2, 297-310 (2021). MSC: 05A30 05A15 05A19 PDF BibTeX XML Cite \textit{H.-C. Chan}, Int. J. Number Theory 17, No. 2, 297--310 (2021; Zbl 1460.05025) Full Text: DOI OpenURL
Burson, Hannah Combinatorics of two second-order mock theta functions. (English) Zbl 1466.11074 Int. J. Number Theory 17, No. 2, 285-295 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 05A17 PDF BibTeX XML Cite \textit{H. Burson}, Int. J. Number Theory 17, No. 2, 285--295 (2021; Zbl 1466.11074) Full Text: DOI OpenURL
Bhatnagar, Gaurav; Ismail, Mourad El-Houssieny On entry II.16.12: a continued fraction of Ramanujan. (English) Zbl 1476.11014 Int. J. Number Theory 17, No. 2, 251-266 (2021). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11A55 33D45 30B70 PDF BibTeX XML Cite \textit{G. Bhatnagar} and \textit{M. E. H. Ismail}, Int. J. Number Theory 17, No. 2, 251--266 (2021; Zbl 1476.11014) Full Text: DOI arXiv OpenURL
Chen, Xiaojing; Chu, Wenchang \(q\)-analogues of Guillera’s two series for \(\pi^{\pm 2}\) with convergence rate \(\frac{27}{64}\). (English) Zbl 1479.33010 Int. J. Number Theory 17, No. 1, 71-90 (2021). MSC: 33D15 05A30 11B65 33D05 PDF BibTeX XML Cite \textit{X. Chen} and \textit{W. Chu}, Int. J. Number Theory 17, No. 1, 71--90 (2021; Zbl 1479.33010) Full Text: DOI OpenURL
Amdeberhan, Tewodros; Moll, Victor H.; Sharma, Vaishavi; Villamizar, Diego Arithmetic properties of the sum of divisors. (English) Zbl 1468.11011 J. Number Theory 223, 325-349 (2021). MSC: 11A25 11D61 11A41 PDF BibTeX XML Cite \textit{T. Amdeberhan} et al., J. Number Theory 223, 325--349 (2021; Zbl 1468.11011) Full Text: DOI arXiv OpenURL
Pascadi, Alexandru Several new product identities in relation to Rogers-Ramanujan type sums and mock theta functions. (English) Zbl 1465.11201 Res. Math. Sci. 8, No. 1, Paper No. 16, 58 p. (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 33D15 11B65 PDF BibTeX XML Cite \textit{A. Pascadi}, Res. Math. Sci. 8, No. 1, Paper No. 16, 58 p. (2021; Zbl 1465.11201) Full Text: DOI arXiv OpenURL
Huber, Timothy; Ye, Dongxi Ramanujan type congruences for quotients of level 7 Klein forms. (English) Zbl 1465.11096 J. Number Theory 222, 181-203 (2021). Reviewer: Dazhao Tang (Chongqing) MSC: 11F03 11F11 11P83 11P84 05A17 PDF BibTeX XML Cite \textit{T. Huber} and \textit{D. Ye}, J. Number Theory 222, 181--203 (2021; Zbl 1465.11096) Full Text: DOI Link OpenURL
Ma, Xiao-Yan; Qiu, Song-Liang; Jiang, Hong-Biao Monotonicity theorems and inequalities for the Hübner function with applications. (English) Zbl 1459.33014 J. Math. Anal. Appl. 498, No. 2, Article ID 124977, 22 p. (2021). Reviewer: George Stoica (Saint John) MSC: 33E30 26A48 30C62 PDF BibTeX XML Cite \textit{X.-Y. Ma} et al., J. Math. Anal. Appl. 498, No. 2, Article ID 124977, 22 p. (2021; Zbl 1459.33014) Full Text: DOI OpenURL
Jo, Hyungrok; Sugiyama, Shingo; Yamasaki, Yoshinori Ramanujan graphs for post-quantum cryptography. (English) Zbl 1459.94118 Takagi, Tsuyoshi (ed.) et al., International symposium on mathematics, quantum theory, and cryptography. Proceedings of MQC 2019, Fukuoka, Japan, September 25–27, 2019. Singapore: Springer. Math. Ind. (Tokyo) 33, 231-250 (2021). MSC: 94A60 05C25 05C48 PDF BibTeX XML Cite \textit{H. Jo} et al., Math. Ind. (Tokyo) 33, 231--250 (2021; Zbl 1459.94118) Full Text: DOI OpenURL
Kim, Sun A generalization of the modular equations of higher degrees. (English) Zbl 1464.11109 J. Comb. Theory, Ser. A 180, Article ID 105420, 15 p. (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 05A19 11F27 05A17 PDF BibTeX XML Cite \textit{S. Kim}, J. Comb. Theory, Ser. A 180, Article ID 105420, 15 p. (2021; Zbl 1464.11109) Full Text: DOI OpenURL
Ichikawa, Takashi An explicit formula of the normalized Mumford form. (English) Zbl 1455.14057 Lett. Math. Phys. 111, No. 1, Paper No. 2, 13 p. (2021). MSC: 14H10 14H15 32G15 14H25 14G40 14G20 14H42 81T30 PDF BibTeX XML Cite \textit{T. Ichikawa}, Lett. Math. Phys. 111, No. 1, Paper No. 2, 13 p. (2021; Zbl 1455.14057) Full Text: DOI arXiv OpenURL
El Bachraoui, Mohamed Sums of partial theta functions through an extended Bailey transform. (English) Zbl 1456.05017 Bull. Aust. Math. Soc. 103, No. 1, 1-10 (2021). MSC: 05A30 11P84 33D15 PDF BibTeX XML Cite \textit{M. El Bachraoui}, Bull. Aust. Math. Soc. 103, No. 1, 1--10 (2021; Zbl 1456.05017) Full Text: DOI OpenURL
Zhao, Tie-Hong; Wang, Miao-Kun; Chu, Yu-Ming Monotonicity and convexity involving generalized elliptic integral of the first kind. (English) Zbl 1456.33016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 46, 13 p. (2021). Reviewer: Thomas Ernst (Uppsala) MSC: 33E05 33C05 PDF BibTeX XML Cite \textit{T.-H. Zhao} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 46, 13 p. (2021; Zbl 1456.33016) Full Text: DOI OpenURL
Ge, Ji-Ke; Luo, Qiu-Ming Some Ramanujan-type circular summation formulas. (English) Zbl 07485384 Adv. Difference Equ. 2020, Paper No. 690, 19 p. (2020). MSC: 11F27 11F20 33E05 PDF BibTeX XML Cite \textit{J.-K. Ge} and \textit{Q.-M. Luo}, Adv. Difference Equ. 2020, Paper No. 690, 19 p. (2020; Zbl 07485384) Full Text: DOI OpenURL
Lee, Yoonjin; Park, Yoon Kyung Ramanujan’s function \(k(\tau)=r(\tau)r^2(2\tau)\) and its modularity. (English) Zbl 07435586 Open Math. 18, 1727-1741 (2020). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F03 11R37 11R04 14H55 PDF BibTeX XML Cite \textit{Y. Lee} and \textit{Y. K. Park}, Open Math. 18, 1727--1741 (2020; Zbl 07435586) Full Text: DOI OpenURL
Shekhar, Himanshu A note on Ramanujan’s general theta function. (English) Zbl 07400769 South East Asian J. Math. Math. Sci. 16, No. 3, 113-118 (2020). MSC: 33D15 05A17 05A30 11F27 11P82 PDF BibTeX XML Cite \textit{H. Shekhar}, South East Asian J. Math. Math. Sci. 16, No. 3, 113--118 (2020; Zbl 07400769) Full Text: Link OpenURL
Vinay, G.; Shwetha, H. T. On certain identities for Rogers-Ramanujan continued fraction. (English) Zbl 07400768 South East Asian J. Math. Math. Sci. 16, No. 3, 105-112 (2020). MSC: 11F20 33C75 11A55 11R42 11P84 PDF BibTeX XML Cite \textit{G. Vinay} and \textit{H. T. Shwetha}, South East Asian J. Math. Math. Sci. 16, No. 3, 105--112 (2020; Zbl 07400768) Full Text: Link OpenURL