Chern, Shane; Yee, Ae Ja Diagonal hooks and a Schmidt-type partition identity. (English) Zbl 07525877 Electron. J. Comb. 29, No. 2, Research Paper P2.10, 14 p. (2022). MSC: 11P84 05A17 PDF BibTeX XML Cite \textit{S. Chern} and \textit{A. J. Yee}, Electron. J. Comb. 29, No. 2, Research Paper P2.10, 14 p. (2022; Zbl 07525877) Full Text: DOI OpenURL
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
Marcus, Adam W.; Spielman, Daniel A.; Srivastava, Nikhil Finite free convolutions of polynomials. (English) Zbl 07511155 Probab. Theory Relat. Fields 182, No. 3-4, 807-848 (2022). MSC: 60-XX 60B20 46L54 05E99 26C10 PDF BibTeX XML Cite \textit{A. W. Marcus} et al., Probab. Theory Relat. Fields 182, No. 3--4, 807--848 (2022; Zbl 07511155) Full Text: DOI OpenURL
Evra, Shai; Parzanchevski, Ori Ramanujan complexes and golden gates in \(PU(3)\). (English) Zbl 07511027 Geom. Funct. Anal. 32, No. 2, 193-235 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 05C50 22E55 PDF BibTeX XML Cite \textit{S. Evra} and \textit{O. Parzanchevski}, Geom. Funct. Anal. 32, No. 2, 193--235 (2022; Zbl 07511027) Full Text: DOI OpenURL
Fox, Matthew S.; Karamchedu, Chaitanya On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function. (English) Zbl 07510933 Ramanujan J. 58, No. 1, 229-237 (2022). MSC: 11A99 11L05 PDF BibTeX XML Cite \textit{M. S. Fox} and \textit{C. Karamchedu}, Ramanujan J. 58, No. 1, 229--237 (2022; Zbl 07510933) Full Text: DOI OpenURL
Kaur, Harman; Rana, Meenakshi On second order mock theta function \(B(q)\). (English) Zbl 07510570 Electron Res. Arch. 30, No. 1, 52-65 (2022). MSC: 11P83 05A17 11B65 11F27 11P84 PDF BibTeX XML Cite \textit{H. Kaur} and \textit{M. Rana}, Electron Res. Arch. 30, No. 1, 52--65 (2022; Zbl 07510570) Full Text: DOI OpenURL
Kanade, Shashank; Russell, Matthew C. On \(q\)-series for principal characters of standard \(A_2^{( 2 )}\)-modules. (English) Zbl 07507739 Adv. Math. 400, Article ID 108282, 24 p. (2022). MSC: 17Bxx 05Axx 11Pxx PDF BibTeX XML Cite \textit{S. Kanade} and \textit{M. C. Russell}, Adv. Math. 400, Article ID 108282, 24 p. (2022; Zbl 07507739) Full Text: DOI OpenURL
Fu, Ruiqin; Yang, Hai On the generalized Ramanujan-nagell equation \(x^2+(3m^2+1)=(4m^2+1)^n\). (English) Zbl 07506505 Indian J. Pure Appl. Math. 53, No. 1, 222-227 (2022). MSC: 11D61 PDF BibTeX XML Cite \textit{R. Fu} and \textit{H. Yang}, Indian J. Pure Appl. Math. 53, No. 1, 222--227 (2022; Zbl 07506505) Full Text: DOI OpenURL
Kumar, B. R. Srivatsa; Shruthi, Shruthi; Gowtham, Halgar J. Some new congruence identities of general partition for \(p_r(n)\). (English) Zbl 07503902 J. Sib. Fed. Univ., Math. Phys. 15, No. 1, 75-79 (2022). MSC: 11Pxx 05Axx 11Fxx PDF BibTeX XML Cite \textit{B. R. S. Kumar} et al., J. Sib. Fed. Univ., Math. Phys. 15, No. 1, 75--79 (2022; Zbl 07503902) Full Text: DOI MNR OpenURL
Konan, Isaac Weighted words at degree two. II: Flat partitions, regular partitions, and application to level one perfect crystals. (English) Zbl 07503057 Electron. J. Comb. 29, No. 1, Research Paper P1.54, 41 p. (2022). MSC: 11P84 05A19 17B37 PDF BibTeX XML Cite \textit{I. Konan}, Electron. J. Comb. 29, No. 1, Research Paper P1.54, 41 p. (2022; Zbl 07503057) Full Text: DOI OpenURL
Chern, Shane; Tang, Dazhao Vanishing coefficients and identities concerning Ramanujan’s parameters. (English) Zbl 07493921 Ramanujan J. 57, No. 4, 1367-1385 (2022). MSC: 11F27 30B10 PDF BibTeX XML Cite \textit{S. Chern} and \textit{D. Tang}, Ramanujan J. 57, No. 4, 1367--1385 (2022; Zbl 07493921) Full Text: DOI OpenURL
Nanjundegowda, Harshitha Kempainahundi On generalization of a Ramanujan’s theta function identity. (English) Zbl 07493128 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 25, 16 p. (2022). MSC: 11F27 PDF BibTeX XML Cite \textit{H. K. Nanjundegowda}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 25, 16 p. (2022; Zbl 07493128) Full Text: DOI OpenURL
Luca, Florian; Mabaso, Sibusiso On a Diophantine equation involving Fibonacci numbers and the Ramanujan \(\tau\)-function of factorials. (English) Zbl 07492747 Afr. Mat. 33, No. 1, Paper No. 4, 18 p. (2022). MSC: 11-XX 05-XX PDF BibTeX XML Cite \textit{F. Luca} and \textit{S. Mabaso}, Afr. Mat. 33, No. 1, Paper No. 4, 18 p. (2022; Zbl 07492747) 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
Burnwal, Shantanu Prasad; Sinha, Kaneenika; Vidyasagar, Mathukumalli New and explicit constructions of unbalanced Ramanujan bipartite graphs. (English) Zbl 07490459 Ramanujan J. 57, No. 3, 1043-1069 (2022). MSC: 05C50 05C75 05C31 68R10 68Q17 PDF BibTeX XML Cite \textit{S. P. Burnwal} et al., Ramanujan J. 57, No. 3, 1043--1069 (2022; Zbl 07490459) Full Text: DOI arXiv OpenURL
Afsharijoo, Pooneh Even-odd partition identities of Rogers-Ramanujan type. (English) Zbl 07490455 Ramanujan J. 57, No. 3, 969-979 (2022). Reviewer: Dazhao Tang (Chongqing) MSC: 05A17 11P84 PDF BibTeX XML Cite \textit{P. Afsharijoo}, Ramanujan J. 57, No. 3, 969--979 (2022; Zbl 07490455) 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
Ford, Kevin Correction to: “A Hardy-Ramanujan-type inequality for shifted primes and sifted sets”. (English) Zbl 1483.11204 Lith. Math. J. 62, No. 1, 133 (2022). MSC: 11N25 PDF BibTeX XML Cite \textit{K. Ford}, Lith. Math. J. 62, No. 1, 133 (2022; Zbl 1483.11204) Full Text: DOI OpenURL
Hao, Robert X. J. Combinatorial proofs of the Ramanujan type congruences modulo \(3\). (English) Zbl 07488435 Discrete Math. 345, No. 5, Article ID 112809, 10 p. (2022). MSC: 11Pxx 05Axx 11Fxx PDF BibTeX XML Cite \textit{R. X. J. Hao}, Discrete Math. 345, No. 5, Article ID 112809, 10 p. (2022; Zbl 07488435) Full Text: DOI arXiv OpenURL
Ramezani, Farzaneh Some regular signed graphs with only two distinct eigenvalues. (English) Zbl 07485858 Linear Multilinear Algebra 70, No. 3, 517-530 (2022). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C50 15A18 PDF BibTeX XML Cite \textit{F. Ramezani}, Linear Multilinear Algebra 70, No. 3, 517--530 (2022; Zbl 07485858) Full Text: DOI arXiv OpenURL
Keith, William J.; Zanello, Fabrizio Parity of the coefficients of certain eta-quotients. (English) Zbl 07485550 J. Number Theory 235, 275-304 (2022). Reviewer: Victor Wang (Princeton) MSC: 11P83 05A17 11P84 11P82 11F33 PDF BibTeX XML Cite \textit{W. J. Keith} and \textit{F. Zanello}, J. Number Theory 235, 275--304 (2022; Zbl 07485550) Full Text: DOI arXiv 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
García-Marco, Ignacio; Knauer, Kolja On sensitivity in bipartite Cayley graphs. (English) Zbl 1483.05078 J. Comb. Theory, Ser. B 154, 211-238 (2022). MSC: 05C25 05C35 05C60 05C99 05C50 PDF BibTeX XML Cite \textit{I. García-Marco} and \textit{K. Knauer}, J. Comb. Theory, Ser. B 154, 211--238 (2022; Zbl 1483.05078) Full Text: DOI arXiv OpenURL
Kim, Byungchan; Kim, Ji Young; Lee, Chong Gyu; Lee, Sang June; Park, Poo-Sung On the existence of Graham partitions with congruence conditions. (English) Zbl 07481750 Bull. Korean Math. Soc. 59, No. 1, 15-25 (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{B. Kim} et al., Bull. Korean Math. Soc. 59, No. 1, 15--25 (2022; Zbl 07481750) Full Text: DOI OpenURL
Jha, Sumit Kumar A formula for the number of partitions of \(n\) in terms of the partial Bell polynomials. (English) Zbl 1483.05008 Ramanujan J. 57, No. 2, 845-848 (2022). Reviewer: Dazhao Tang (Chongqing) MSC: 05A17 11P81 PDF BibTeX XML Cite \textit{S. K. Jha}, Ramanujan J. 57, No. 2, 845--848 (2022; Zbl 1483.05008) 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
Chern, Shane Weighted partition rank and crank moments. II: Odd-order moments. (English) Zbl 07472659 Ramanujan J. 57, No. 2, 471-485 (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 11P81 05A19 PDF BibTeX XML Cite \textit{S. Chern}, Ramanujan J. 57, No. 2, 471--485 (2022; Zbl 07472659) Full Text: DOI 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
Goswami, Ankush; Pantangi, Venkata Raghu Tej On sums of coefficients of polynomials related to the Borwein conjectures. (English) Zbl 07462101 Ramanujan J. 57, No. 1, 369-387 (2022). Reviewer: Mihály Szalay (Budapest) MSC: 11P81 05A17 11P83 11P84 PDF BibTeX XML Cite \textit{A. Goswami} and \textit{V. R. T. Pantangi}, Ramanujan J. 57, No. 1, 369--387 (2022; Zbl 07462101) Full Text: DOI arXiv OpenURL
Capparelli, S.; Del Fra, A.; Mercuri, P.; Vietri, A. Some partition and analytical identities arising from the Alladi, Andrews, Gordon bijection. (English) Zbl 07462094 Ramanujan J. 57, No. 1, 175-188 (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 05A17 11P82 11P83 PDF BibTeX XML Cite \textit{S. Capparelli} et al., Ramanujan J. 57, No. 1, 175--188 (2022; Zbl 07462094) 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
Goswami, Ankush; Jha, Abhash Kumar; Singh, Anup Kumar Some identities for the partition function. (English) Zbl 07451091 J. Math. Anal. Appl. 508, No. 1, Article ID 125864, 20 p. (2022). MSC: 11Pxx 11Fxx 05Axx PDF BibTeX XML Cite \textit{A. Goswami} et al., J. Math. Anal. Appl. 508, No. 1, Article ID 125864, 20 p. (2022; Zbl 07451091) Full Text: DOI OpenURL
Chakraborty, Kalyan; Hoque, Azizul On the Diophantine equation \(dx^2+p^{2a}q^{2b}=4y^p\). (English) Zbl 07445566 Result. Math. 77, No. 1, Paper No. 18, 11 p. (2022). MSC: 11D61 11D41 11Y50 PDF BibTeX XML Cite \textit{K. Chakraborty} and \textit{A. Hoque}, Result. Math. 77, No. 1, Paper No. 18, 11 p. (2022; Zbl 07445566) Full Text: DOI arXiv OpenURL
Gupta, Anushree; Maji, Bibekananda On Ramanujan’s formula for \(\zeta(1/2)\) and \(\zeta(2m+1)\). (English) Zbl 1474.11145 J. Math. Anal. Appl. 507, No. 1, Article ID 125738, 24 p. (2022). MSC: 11M06 PDF BibTeX XML Cite \textit{A. Gupta} and \textit{B. Maji}, J. Math. Anal. Appl. 507, No. 1, Article ID 125738, 24 p. (2022; Zbl 1474.11145) 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
Chavan, Sarth An elementary proof of Ramanujan’s identity for odd zeta values. (English) Zbl 07530833 J. Class. Anal. 19, No. 2, 139-147 (2021). MSC: 11M06 PDF BibTeX XML Cite \textit{S. Chavan}, J. Class. Anal. 19, No. 2, 139--147 (2021; Zbl 07530833) Full Text: DOI 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
Takeda, Wataru On the finiteness of solutions for polynomial-factorial Diophantine equations. (English) Zbl 07509453 Forum Math. 33, No. 2, 361-374 (2021). MSC: 11D09 11D45 11D72 11D85 PDF BibTeX XML Cite \textit{W. Takeda}, Forum Math. 33, No. 2, 361--374 (2021; Zbl 07509453) Full Text: DOI OpenURL
Nguyen Xuan Tho The Diophantine equation \(x^2+3^a\cdot 5^b\cdot 11^c=4y^n\). (English) Zbl 07493386 Ann. Math. Inform. 54, 121-139 (2021). MSC: 11D61 11D72 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Ann. Math. Inform. 54, 121--139 (2021; Zbl 07493386) Full Text: DOI OpenURL
Hassani, Mehdi Remarks on Ramanujan’s inequality concerning the prime counting function. (English) Zbl 07484381 Commun. Math. 29, No. 3, 473-482 (2021). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11A41 PDF BibTeX XML Cite \textit{M. Hassani}, Commun. Math. 29, No. 3, 473--482 (2021; Zbl 07484381) Full Text: DOI OpenURL
Kadyrov, Shirali; Mashurov, Farukh Generalized continued fraction expansions for \(\pi\) and \(e\). (English) Zbl 07479275 J. Discrete Math. Sci. Cryptography 24, No. 6, 1809-1819 (2021). Reviewer: Anitha Srinivasan (Madrid) MSC: 11Y65 30B70 PDF BibTeX XML Cite \textit{S. Kadyrov} and \textit{F. Mashurov}, J. Discrete Math. Sci. Cryptography 24, No. 6, 1809--1819 (2021; Zbl 07479275) Full Text: DOI arXiv OpenURL
Andrews, George E. Partition identities for two-color partitions. (English) Zbl 07475395 Hardy-Ramanujan J. 44, 74-80 (2021). Reviewer: M. P. Chaudhary (New Delhi) MSC: 05A17 05A19 11P81 PDF BibTeX XML Cite \textit{G. E. Andrews}, Hardy-Ramanujan J. 44, 74--80 (2021; Zbl 07475395) Full Text: DOI 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
Zagier, Don Power partitions and a generalized eta transformation property. (English) Zbl 07475389 Hardy-Ramanujan J. 44, 1-18 (2021). MSC: 11P82 05A17 PDF BibTeX XML Cite \textit{D. Zagier}, Hardy-Ramanujan J. 44, 1--18 (2021; Zbl 07475389) Full Text: DOI 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
Andrews, George E. Compositions and Chebyshev polynomials. (English) Zbl 07456818 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 1-14 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 11P84 05A17 PDF BibTeX XML Cite \textit{G. E. Andrews}, Oper. Theory: Adv. Appl. 285, 1--14 (2021; Zbl 07456818) Full Text: DOI OpenURL
Gupta, V.; Rana, M. Rogers-Ramanujan type identities for \((n+t)\)-color overpartitions. (English) Zbl 1476.05015 J. Ramanujan Soc. Math. Math. Sci. 8, No. 2, 1-16 (2021). MSC: 05A17 05A19 11P81 11P84 PDF BibTeX XML Cite \textit{V. Gupta} and \textit{M. Rana}, J. Ramanujan Soc. Math. Math. Sci. 8, No. 2, 1--16 (2021; Zbl 1476.05015) Full Text: Link OpenURL
Pore, Utpal; Fathima, Syeda Noor Some congruences for Andrews’ partition function \(\overline{\mathcal{E} \mathcal{O}}(n)\). (English) Zbl 07444421 Kyungpook Math. J. 61, No. 1, 49-59 (2021). MSC: 11P84 11P83 05A17 PDF BibTeX XML Cite \textit{U. Pore} and \textit{S. N. Fathima}, Kyungpook Math. J. 61, No. 1, 49--59 (2021; Zbl 07444421) Full Text: DOI 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
Chern, Shane; Tang, Dazhao 5-dissections and sign patterns of Ramanujan’s parameter and its companion. (English) Zbl 07442477 Czech. Math. J. 71, No. 4, 1115-1128 (2021). MSC: 11F27 30B10 PDF BibTeX XML Cite \textit{S. Chern} and \textit{D. Tang}, Czech. Math. J. 71, No. 4, 1115--1128 (2021; Zbl 07442477) Full Text: DOI arXiv 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
Lin, Bernard L. S.; Zheng, Saisai \(k\)-regular partitions and overpartitions with bounded part differences. (English) Zbl 1478.05010 Ramanujan J. 56, No. 2, 685-695 (2021). MSC: 05A17 11P84 PDF BibTeX XML Cite \textit{B. L. S. Lin} and \textit{S. Zheng}, Ramanujan J. 56, No. 2, 685--695 (2021; Zbl 1478.05010) 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
Lakein, Kaya; Larsen, Anne Some remarks on small values of \(\tau (n)\). (English) Zbl 1475.11079 Arch. Math. 117, No. 6, 635-645 (2021). MSC: 11F30 PDF BibTeX XML Cite \textit{K. Lakein} and \textit{A. Larsen}, Arch. Math. 117, No. 6, 635--645 (2021; Zbl 1475.11079) Full Text: DOI arXiv 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
Chern, S. Note on partitions with even parts below odd parts. (English) Zbl 07431864 Math. Notes 110, No. 3, 454-457 (2021). MSC: 11P81 11P84 05A17 PDF BibTeX XML Cite \textit{S. Chern}, Math. Notes 110, No. 3, 454--457 (2021; Zbl 07431864) Full Text: DOI OpenURL
Le, Maohua; Soydan, Gökhan A note on Terai’s conjecture concerning primitive Pythagorean triples. (English) Zbl 07428780 Hacet. J. Math. Stat. 50, No. 4, 911-917 (2021). MSC: 11D61 PDF BibTeX XML Cite \textit{M. Le} and \textit{G. Soydan}, Hacet. J. Math. Stat. 50, No. 4, 911--917 (2021; Zbl 07428780) Full Text: DOI OpenURL
Dmitriev, Daniil; Zhukovskii, Maksim On monotonicity of Ramanujan function for binomial random variables. (English) Zbl 1474.60031 Stat. Probab. Lett. 177, Article ID 109147, 8 p. (2021). MSC: 60E05 60C05 PDF BibTeX XML Cite \textit{D. Dmitriev} and \textit{M. Zhukovskii}, Stat. Probab. Lett. 177, Article ID 109147, 8 p. (2021; Zbl 1474.60031) Full Text: DOI arXiv 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
Randall, Matthew Automorphism of solutions to Ramanujan’s differential equations and other results. (English) Zbl 07423441 Kyushu J. Math. 75, No. 1, 77-94 (2021). Reviewer: Anthony D. Osborne (Keele) MSC: 34A34 34B30 PDF BibTeX XML Cite \textit{M. Randall}, Kyushu J. Math. 75, No. 1, 77--94 (2021; Zbl 07423441) Full Text: DOI arXiv 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
Lin, Bernard L. S.; Peng, Lin; Toh, Pee Choon A variation of the Andrews-Stanley partition function and two interesting \(q\)-series identities. (English) Zbl 1477.05009 Ramanujan J. 56, No. 1, 297-307 (2021). Reviewer: Dazhao Tang (Chongqing) MSC: 05A17 05A19 05A30 11P83 PDF BibTeX XML Cite \textit{B. L. S. Lin} et al., Ramanujan J. 56, No. 1, 297--307 (2021; Zbl 1477.05009) 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
Yau, Kam Hung Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer. (English) Zbl 1483.11221 Funct. Approximatio, Comment. Math. 64, No. 1, 77-108 (2021). Reviewer: Maurizio Laporta (Napoli) MSC: 11P32 11P55 11T23 PDF BibTeX XML Cite \textit{K. H. Yau}, Funct. Approximatio, Comment. Math. 64, No. 1, 77--108 (2021; Zbl 1483.11221) Full Text: DOI arXiv 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
Eppstein, David Egyptian fractions with denominators from sequences closed under doubling. (English) Zbl 1482.11058 J. Integer Seq. 24, No. 8, Article 21.8.8, 6 p. (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11D68 11A63 11B83 PDF BibTeX XML Cite \textit{D. Eppstein}, J. Integer Seq. 24, No. 8, Article 21.8.8, 6 p. (2021; Zbl 1482.11058) Full Text: arXiv Link 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
Ford, Kevin A Hardy-Ramanujan-type inequality for shifted primes and sifted sets. (English) Zbl 1480.11115 Lith. Math. J. 61, No. 3, 323-329 (2021); correction ibid. 62, No. 1, 133 (2022). MSC: 11N25 PDF BibTeX XML Cite \textit{K. Ford}, Lith. Math. J. 61, No. 3, 323--329 (2021; Zbl 1480.11115) Full Text: DOI arXiv OpenURL
Filipovski, Slobodan; Jajcay, Robert A connection between a question of Bermond and Bollobás and Ramanujan graphs. (English) Zbl 1473.05169 Acta Appl. Math. 175, Paper No. 1, 10 p. (2021). MSC: 05C50 05C30 PDF BibTeX XML Cite \textit{S. Filipovski} and \textit{R. Jajcay}, Acta Appl. Math. 175, Paper No. 1, 10 p. (2021; Zbl 1473.05169) Full Text: DOI arXiv 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
Coppo, Marc-Antoine New identities involving Cauchy numbers, harmonic numbers and zeta values. (English) Zbl 1473.05031 Result. Math. 76, No. 4, Paper No. 189, 10 p. (2021). MSC: 05A19 11B75 11M06 40G99 PDF BibTeX XML Cite \textit{M.-A. Coppo}, Result. Math. 76, No. 4, Paper No. 189, 10 p. (2021; Zbl 1473.05031) Full Text: DOI OpenURL
Xiong, R. On the addition of values of a quadratic polynomial at units modulo \(n\). (English) Zbl 07399059 Acta Math. Hung. 163, No. 1, 62-70 (2021). MSC: 11B13 11L03 11L05 PDF BibTeX XML Cite \textit{R. Xiong}, Acta Math. Hung. 163, No. 1, 62--70 (2021; Zbl 07399059) Full Text: DOI OpenURL
Desalvo, Stephen Will the real Hardy-Ramanujan formula please stand up? (English) Zbl 1483.11230 Integers 21, Paper A88, 22 p. (2021). Reviewer: Manjil Pratim Saikia (Cardiff) MSC: 11P82 11P84 01A60 11-03 PDF BibTeX XML Cite \textit{S. Desalvo}, Integers 21, Paper A88, 22 p. (2021; Zbl 1483.11230) Full Text: arXiv Link 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
Kurşungöz, Kağan Andrews-Gordon type series for Schur’s partition identity. (English) Zbl 1475.11185 Discrete Math. 344, No. 11, Article ID 112563, 31 p. (2021). MSC: 11P81 05A17 11P84 PDF BibTeX XML Cite \textit{K. Kurşungöz}, Discrete Math. 344, No. 11, Article ID 112563, 31 p. (2021; Zbl 1475.11185) Full Text: DOI arXiv 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
Gupta, Rajat; Kumar, Rahul On some \(q\)-series identities related to a generalized divisor function and their implications. (English) Zbl 1472.05022 Discrete Math. 344, No. 11, Article ID 112559, 21 p. (2021). MSC: 05A30 05A19 11P84 PDF BibTeX XML Cite \textit{R. Gupta} and \textit{R. Kumar}, Discrete Math. 344, No. 11, Article ID 112559, 21 p. (2021; Zbl 1472.05022) Full Text: DOI arXiv OpenURL
Hao, Robert X. J.; Shen, Erin Y. Y.; Zang, Wenston J. T. A rank of partitions with overline designated summands. (English) Zbl 1480.11132 Discrete Math. 344, No. 11, Article ID 112556, 10 p. (2021). MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{R. X. J. Hao} et al., Discrete Math. 344, No. 11, Article ID 112556, 10 p. (2021; Zbl 1480.11132) Full Text: DOI arXiv OpenURL
Zanello, Fabrizio Deducing the positive odd density of \(p(n)\) from that of a multipartition function: an unconditional proof. (English) Zbl 07391375 J. Number Theory 229, 277-281 (2021). Reviewer: Donna Q. J. Dou (Changchun) MSC: 11P83 05A17 11P84 11F33 PDF BibTeX XML Cite \textit{F. Zanello}, J. Number Theory 229, 277--281 (2021; Zbl 07391375) Full Text: DOI arXiv OpenURL