Hughes, James Lagrangian fillings in \(A\)-type and their Kálmán loop orbits. (English) Zbl 07755943 Rev. Mat. Iberoam. 39, No. 5, 1681-1723 (2023). MSC: 53D12 53D35 53D10 57K10 57K33 PDF BibTeX XML Cite \textit{J. Hughes}, Rev. Mat. Iberoam. 39, No. 5, 1681--1723 (2023; Zbl 07755943) Full Text: DOI arXiv
Kang, Jiayu; Li, Runqiao; Wang, Andrew Y. Z. Partition identities related to the minimal excludant. (English) Zbl 1516.11098 Discrete Math. 346, No. 4, Article ID 113302, 12 p. (2023). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11P81 05A17 05A19 PDF BibTeX XML Cite \textit{J. Kang} et al., Discrete Math. 346, No. 4, Article ID 113302, 12 p. (2023; Zbl 1516.11098) Full Text: DOI
Chaudhary, M. P.; Kumar, Vinesh; Quraishi, Kaleem Ahmed A family of theta-function identities involving \(R_\alpha\) and \(R_m\)-functions related to Jacobi’s triple-product identity. (English) Zbl 1495.11056 Palest. J. Math. 11, No. 2, 177-186 (2022). MSC: 11F27 05A17 05A30 11P84 PDF BibTeX XML Cite \textit{M. P. Chaudhary} et al., Palest. J. Math. 11, No. 2, 177--186 (2022; Zbl 1495.11056) Full Text: Link
Cohen, Jonathan; Roche, Alan A tale of two cyclicities: counting in finite cyclic groups and finite fields. (English) Zbl 1502.11004 Am. Math. Mon. 129, No. 7, 660-676 (2022). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11A25 12E20 PDF BibTeX XML Cite \textit{J. Cohen} and \textit{A. Roche}, Am. Math. Mon. 129, No. 7, 660--676 (2022; Zbl 1502.11004) Full Text: DOI
Chu, Wenchang \(q\)-binomial sums toward Euler’s pentagonal number theorem. (English) Zbl 1516.11024 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1545-1557 (2022). MSC: 11B65 33D15 11P84 PDF BibTeX XML Cite \textit{W. Chu}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1545--1557 (2022; Zbl 1516.11024) Full Text: DOI
Tóth, László Menon-type identities concerning subsets of the set \(\{1, 2,\ldots, n\}\). (English) Zbl 1499.11020 Math. Pannonica (N.S.) 28, No. 1, 65-68 (2022). Reviewer: Jürgen Spilker (Freiburg im Breisgau) MSC: 11A25 11A05 11B75 PDF BibTeX XML Cite \textit{L. Tóth}, Math. Pannonica (N.S.) 28, No. 1, 65--68 (2022; Zbl 1499.11020) Full Text: DOI arXiv
Tóth, László Another generalization of Euler’s arithmetic function and Menon’s identity. (English) Zbl 1486.11008 Ramanujan J. 57, No. 2, 811-822 (2022). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N37 11A07 PDF BibTeX XML Cite \textit{L. Tóth}, Ramanujan J. 57, No. 2, 811--822 (2022; Zbl 1486.11008) Full Text: DOI arXiv
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: 11F27 05A17 05A30 11P84 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
Ballantine, Cristina; Merca, Mircea Combinatorial proofs of two theorems related to the number of even parts in all partitions of \(n\) into distinct parts. (English) Zbl 1462.05027 Ramanujan J. 54, No. 1, 107-112 (2021). MSC: 05A17 11P83 PDF BibTeX XML Cite \textit{C. Ballantine} and \textit{M. Merca}, Ramanujan J. 54, No. 1, 107--112 (2021; Zbl 1462.05027) Full Text: DOI
Chaudhary, M. P.; Chaudhary, Sangeeta; Minz, Sonajharia On relationships between \(q\)-product identities and combinatorial partition identities. (English) Zbl 1474.05023 Math. Morav. 24, No. 1, 83-91 (2020). MSC: 05A30 05A19 11F27 05A17 11P83 PDF BibTeX XML Cite \textit{M. P. Chaudhary} et al., Math. Morav. 24, No. 1, 83--91 (2020; Zbl 1474.05023) Full Text: DOI
Chaudhary, Mahendra Pal A family of theta-function identities based upon \(R_{\alpha}\), \(R_{\beta}\) and \(R_M\)-functions related to Jacobi’s triple-product identity. (English) Zbl 1474.11111 Publ. Inst. Math., Nouv. Sér. 108(122), 23-32 (2020). MSC: 11F27 11P83 05A17 05A30 PDF BibTeX XML Cite \textit{M. P. Chaudhary}, Publ. Inst. Math., Nouv. Sér. 108(122), 23--32 (2020; Zbl 1474.11111) Full Text: DOI
Seo, Seunghyun; Yee, Ae Ja Index of seaweed algebras and integer partitions. (English) Zbl 1435.05026 Electron. J. Comb. 27, No. 1, Research Paper P1.47, 10 p. (2020). MSC: 05A17 05A15 11P81 17B05 PDF BibTeX XML Cite \textit{S. Seo} and \textit{A. J. Yee}, Electron. J. Comb. 27, No. 1, Research Paper P1.47, 10 p. (2020; Zbl 1435.05026) Full Text: DOI arXiv Link
Andrews, George E.; Merca, Mircea On the number of even parts in all partitions of \(n\) into distinct parts. (English) Zbl 1473.11190 Ann. Comb. 24, No. 1, 47-54 (2020). Reviewer: Shane Chern (University Park) MSC: 11P83 05A17 05A19 PDF BibTeX XML Cite \textit{G. E. Andrews} and \textit{M. Merca}, Ann. Comb. 24, No. 1, 47--54 (2020; Zbl 1473.11190) Full Text: DOI
Li, Yan; Kim, Daeyeoul; Qiao, Rui A generalization of Menon’s identity to higher exponent. (English) Zbl 1438.11003 Publ. Math. Debr. 94, No. 3-4, 467-475 (2019). MSC: 11A07 11A25 PDF BibTeX XML Cite \textit{Y. Li} et al., Publ. Math. Debr. 94, No. 3--4, 467--475 (2019; Zbl 1438.11003) Full Text: DOI
Tóth, László Short proof and generalization of a menon-type identity by Li, Hu and Kim. (English) Zbl 1418.11012 Taiwanese J. Math. 23, No. 3, 557-561 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A07 11L99 PDF BibTeX XML Cite \textit{L. Tóth}, Taiwanese J. Math. 23, No. 3, 557--561 (2019; Zbl 1418.11012) Full Text: DOI arXiv Euclid
Li, Yan; Hu, Xiaoyu; Kim, Daeyeoul A Menon-type identity with multiplicative and additive characters. (English) Zbl 1418.11011 Taiwanese J. Math. 23, No. 3, 545-555 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A07 11L99 PDF BibTeX XML Cite \textit{Y. Li} et al., Taiwanese J. Math. 23, No. 3, 545--555 (2019; Zbl 1418.11011) Full Text: DOI Euclid
Mu, Yan-Ping A family of WZ pairs and \(q\)-identities. (English) Zbl 1416.33032 Ramanujan J. 49, No. 1, 97-104 (2019). Reviewer: James Wan (Singapore) MSC: 33F10 33D15 65B10 PDF BibTeX XML Cite \textit{Y.-P. Mu}, Ramanujan J. 49, No. 1, 97--104 (2019; Zbl 1416.33032) Full Text: DOI
Marcus, Solomon; Nichita, Florin F. On transcendental numbers: new results and a little history. (English) Zbl 1432.11087 Axioms 7, No. 1, Paper No. 15, 7 p. (2018). MSC: 11J81 11-03 PDF BibTeX XML Cite \textit{S. Marcus} and \textit{F. F. Nichita}, Axioms 7, No. 1, Paper No. 15, 7 p. (2018; Zbl 1432.11087) Full Text: DOI arXiv
Li, Yan; Hu, Xiaoyu; Kim, Daeyeoul A generalization of Menon’s identity with Dirichlet characters. (English) Zbl 1441.11010 Int. J. Number Theory 14, No. 10, 2631-2639 (2018). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A07 PDF BibTeX XML Cite \textit{Y. Li} et al., Int. J. Number Theory 14, No. 10, 2631--2639 (2018; Zbl 1441.11010) Full Text: DOI arXiv
Li, Yan; Kim, Daeyeoul Menon-type identities with additive characters. (English) Zbl 1442.11008 J. Number Theory 192, 373-385 (2018). MSC: 11A07 11A25 PDF BibTeX XML Cite \textit{Y. Li} and \textit{D. Kim}, J. Number Theory 192, 373--385 (2018; Zbl 1442.11008) Full Text: DOI
Alladi, Krishnaswami; Defant, Colin Revisiting the Riemann zeta function at positive even integers. (English) Zbl 1404.11103 Int. J. Number Theory 14, No. 7, 1849-1856 (2018). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M06 11B68 11B83 PDF BibTeX XML Cite \textit{K. Alladi} and \textit{C. Defant}, Int. J. Number Theory 14, No. 7, 1849--1856 (2018; Zbl 1404.11103) Full Text: DOI arXiv
Tóth, László Menon-type identities concerning Dirichlet characters. (English) Zbl 1421.11010 Int. J. Number Theory 14, No. 4, 1047-1054 (2018). MSC: 11A25 PDF BibTeX XML Cite \textit{L. Tóth}, Int. J. Number Theory 14, No. 4, 1047--1054 (2018; Zbl 1421.11010) Full Text: DOI arXiv
Fu, Shishuo; Tang, Dazhao Partitions with fixed largest hook length. (English) Zbl 1379.05009 Ramanujan J. 45, No. 2, 375-390 (2018). MSC: 05A17 05A15 05A19 11A07 11B39 PDF BibTeX XML Cite \textit{S. Fu} and \textit{D. Tang}, Ramanujan J. 45, No. 2, 375--390 (2018; Zbl 1379.05009) Full Text: DOI arXiv
Després, Bruno Polynomials with bounds and numerical approximation. (English) Zbl 1379.65010 Numer. Algorithms 76, No. 3, 829-859 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D15 PDF BibTeX XML Cite \textit{B. Després}, Numer. Algorithms 76, No. 3, 829--859 (2017; Zbl 1379.65010) Full Text: DOI HAL
Nahin, Paul J. Dr. Euler’s fabulous formula. Cures many mathematical ills. Reprint of the 2011 edition. (English) Zbl 1360.00001 Princeton, NJ: Princeton University Press (ISBN 978-0-691-17591-1/pbk; 978-1-4008-3847-9/ebook). 432 p. (2017). MSC: 00A05 00A06 42-01 PDF BibTeX XML Cite \textit{P. J. Nahin}, Dr. Euler's fabulous formula. Cures many mathematical ills. Reprint of the 2011 edition. Princeton, NJ: Princeton University Press (2017; Zbl 1360.00001) Full Text: DOI
Jameson, G. J. O. Counting divisors. (English) Zbl 1384.11007 Math. Gaz. 99, No. 544, 11-20 (2015). MSC: 11A51 PDF BibTeX XML Cite \textit{G. J. O. Jameson}, Math. Gaz. 99, No. 544, 11--20 (2015; Zbl 1384.11007) Full Text: DOI Link
Changa, M. E. On the quantity of numbers of special form depending on the parity of the number of their different prime divisors. (English. Russian original) Zbl 1339.11083 Math. Notes 97, No. 6, 941-945 (2015); translation from Mat. Zametki 97, No. 6, 930-935 (2015). Reviewer: Emre Alkan (Istanbul) MSC: 11N25 11N05 PDF BibTeX XML Cite \textit{M. E. Changa}, Math. Notes 97, No. 6, 941--945 (2015; Zbl 1339.11083); translation from Mat. Zametki 97, No. 6, 930--935 (2015) Full Text: DOI
Yee, Ae Ja A truncated Jacobi triple product theorem. (English) Zbl 1379.11027 J. Comb. Theory, Ser. A 130, 1-14 (2015). MSC: 11B75 05A17 05A19 PDF BibTeX XML Cite \textit{A. J. Yee}, J. Comb. Theory, Ser. A 130, 1--14 (2015; Zbl 1379.11027) Full Text: DOI
Agoh, Takashi Convolution identities for Bernoulli and Genocchi polynomials. (English) Zbl 1331.11013 Electron. J. Comb. 21, No. 1, Research Paper P1.65, 14 p. (2014). MSC: 11B68 11B83 PDF BibTeX XML Cite \textit{T. Agoh}, Electron. J. Comb. 21, No. 1, Research Paper P1.65, 14 p. (2014; Zbl 1331.11013) Full Text: Link
Sandon, Colin; Zanello, Fabrizio Warnaar’s bijection and colored partition identities. I. (English) Zbl 1253.05028 J. Comb. Theory, Ser. A 120, No. 1, 28-38 (2013). MSC: 05A17 05A19 11P84 PDF BibTeX XML Cite \textit{C. Sandon} and \textit{F. Zanello}, J. Comb. Theory, Ser. A 120, No. 1, 28--38 (2013; Zbl 1253.05028) Full Text: DOI arXiv
Jones, Timothy W. Euler’s identity, Leibniz tables, and the irrationality of pi. (English) Zbl 1267.97007 Coll. Math. J. 43, No. 5, 361-364 (2012). MSC: 97F60 97F50 11J72 11J81 PDF BibTeX XML Cite \textit{T. W. Jones}, Coll. Math. J. 43, No. 5, 361--364 (2012; Zbl 1267.97007) Full Text: DOI
Ho, Weng Kin; Ho, Foo Him; Lee, Tuo Yeong An elementary proof of the identity \(\cot \theta = \frac{1}{\theta}\sum _{k=1}^{\infty} \frac{2 \theta}{\theta ^2 - k^2 \pi ^2}\). (English) Zbl 1286.97008 Int. J. Math. Educ. Sci. Technol. 43, No. 8, 1085-1092 (2012). MSC: 97I30 26A06 PDF BibTeX XML Cite \textit{W. K. Ho} et al., Int. J. Math. Educ. Sci. Technol. 43, No. 8, 1085--1092 (2012; Zbl 1286.97008) Full Text: DOI
Andrews, George E.; Merca, Mircea The truncated pentagonal number theorem. (English) Zbl 1246.05014 J. Comb. Theory, Ser. A 119, No. 8, 1639-1643 (2012). MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{G. E. Andrews} and \textit{M. Merca}, J. Comb. Theory, Ser. A 119, No. 8, 1639--1643 (2012; Zbl 1246.05014) Full Text: DOI
Wei, Chuanan; Gong, Dianxuan Euler’s pentagonal number theorem implies the Jacobi triple product identity. (English) Zbl 1234.05041 Integers 11, No. 6, 811-814, A38 (2011). MSC: 05A19 11B65 PDF BibTeX XML Cite \textit{C. Wei} and \textit{D. Gong}, Integers 11, No. 6, 811--814, A38 (2011; Zbl 1234.05041) Full Text: DOI
Nahin, Paul J. Dr. Euler’s fabulous formula. Cures many mathematical ills. With a new preface by the author. Paperback ed. (English) Zbl 1213.00013 Princeton, NJ: Princeton University Press (ISBN 978-0-691-15037-6/pbk; 978-1-400-83847-9/ebook). 432 p. (2011). MSC: 00A05 00A06 42-01 PDF BibTeX XML Cite \textit{P. J. Nahin}, Dr. Euler's fabulous formula. Cures many mathematical ills. With a new preface by the author. Paperback ed. Princeton, NJ: Princeton University Press (2011; Zbl 1213.00013) Full Text: DOI
Gorelov, V. A. On algebraic identities between generalized hypergeometric functions. (English. Russian original) Zbl 1232.33007 Math. Notes 88, No. 4, 487-491 (2010); translation from Mat. Zametki 88, No. 4, 511-516 (2010). MSC: 33C20 PDF BibTeX XML Cite \textit{V. A. Gorelov}, Math. Notes 88, No. 4, 487--491 (2010; Zbl 1232.33007); translation from Mat. Zametki 88, No. 4, 511--516 (2010) Full Text: DOI
Wu, Tsu-Chen; Chang, Chung-Hau; Srivastava, H. M. A unified presentation of identities involving Weierstrass-type functions and their applications. (English) Zbl 1194.30038 Appl. Math. Lett. 23, No. 8, 864-870 (2010). MSC: 30D99 PDF BibTeX XML Cite \textit{T.-C. Wu} et al., Appl. Math. Lett. 23, No. 8, 864--870 (2010; Zbl 1194.30038) Full Text: DOI
Kim, Sun A bijective proof of the quintuple product identity. (English) Zbl 1230.05044 Int. J. Number Theory 6, No. 2, 247-256 (2010). MSC: 05A19 05A17 11P81 11P82 PDF BibTeX XML Cite \textit{S. Kim}, Int. J. Number Theory 6, No. 2, 247--256 (2010; Zbl 1230.05044) Full Text: DOI
Kim, Yong Sup; Rathie, Arjun K.; Lee, Dong Myung Remark on a summation formula for \(_3F_2(1)\). (English) Zbl 1182.33006 Proc. Jangjeon Math. Soc. 12, No. 1, 11-15 (2009). MSC: 33C05 33C20 PDF BibTeX XML Cite \textit{Y. S. Kim} et al., Proc. Jangjeon Math. Soc. 12, No. 1, 11--15 (2009; Zbl 1182.33006)
Sun, Yidong An extension of Seller’s theorem on partitions and its applications. (English) Zbl 1224.05030 Ars Comb. 86, 3-11 (2008). Reviewer: Martin Klazar (Praha) MSC: 05A17 11P81 PDF BibTeX XML Cite \textit{Y. Sun}, Ars Comb. 86, 3--11 (2008; Zbl 1224.05030)
Ustinov, A. V. A short proof of Euler’s identity for continuants. (English. Russian original) Zbl 1138.33305 Math. Notes 79, No. 1, 146-147 (2006); translation from Mat. Zametki 79, No. 2, 155-156 (2006). MSC: 33C90 PDF BibTeX XML Cite \textit{A. V. Ustinov}, Math. Notes 79, No. 1, 146--147 (2006; Zbl 1138.33305); translation from Mat. Zametki 79, No. 2, 155--156 (2006) Full Text: DOI
Nesterenko, Yu. V. On an identity of Mahler. (English. Russian original) Zbl 1148.11032 Math. Notes 79, No. 1, 97-108 (2006); translation from Mat. Zametki 79, No. 1, 107-119 (2006). Reviewer: Wadim Zudilin (Bonn) MSC: 11J82 11G55 33B30 41A21 PDF BibTeX XML Cite \textit{Yu. V. Nesterenko}, Math. Notes 79, No. 1, 97--108 (2006; Zbl 1148.11032); translation from Mat. Zametki 79, No. 1, 107--119 (2006) Full Text: DOI
Luo, Miao Notes on a formula of Euler. (English) Zbl 1117.53006 J. Guizhou Norm. Univ., Nat. Sci. 24, No. 4, 95-97 (2006). MSC: 53A05 PDF BibTeX XML Cite \textit{M. Luo}, J. Guizhou Norm. Univ., Nat. Sci. 24, No. 4, 95--97 (2006; Zbl 1117.53006)
Nahin, Paul J. Dr. Euler’s fabulous formula. Cures many mathematical ills. (English) Zbl 1115.00004 Princeton, NJ: Princeton University Press (ISBN 0-691-11822-1/hbk). xx, 380 p. (2006). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 00A05 00A06 42-01 PDF BibTeX XML Cite \textit{P. J. Nahin}, Dr. Euler's fabulous formula. Cures many mathematical ills. Princeton, NJ: Princeton University Press (2006; Zbl 1115.00004)
Pabhapote, Nittiya; Laohakosol, Vichian; Ruengsinsub, Pattira Two aspects of generalized Möbius functions: Landau, Brauer-Rademacher identities and dependence. (English) Zbl 1092.11004 Int. J. Pure Appl. Math. 25, No. 2, 225-243 (2005). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 PDF BibTeX XML Cite \textit{N. Pabhapote} et al., Int. J. Pure Appl. Math. 25, No. 2, 225--243 (2005; Zbl 1092.11004)
Zeng, Jiang The \(q\)-variations of Sylvester’s bijection between odd and strict partitions. (English) Zbl 1085.05014 Ramanujan J. 9, No. 3, 289-303 (2005). MSC: 05A17 05A15 33D15 11P83 PDF BibTeX XML Cite \textit{J. Zeng}, Ramanujan J. 9, No. 3, 289--303 (2005; Zbl 1085.05014) Full Text: DOI
Haukkanen, Pentti Menon’s identity with respect to a generalized divisibility relation. (English) Zbl 1207.11011 Aequationes Math. 70, No. 3, 240-246 (2005). MSC: 11A25 PDF BibTeX XML Cite \textit{P. Haukkanen}, Aequationes Math. 70, No. 3, 240--246 (2005; Zbl 1207.11011) Full Text: DOI
Stevanović, Milorad R. Sequences related to the sum of divisors. (English) Zbl 1082.11059 Kragujevac J. Math. 27, 47-54 (2005). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N64 PDF BibTeX XML Cite \textit{M. R. Stevanović}, Kragujevac J. Math. 27, 47--54 (2005; Zbl 1082.11059)
Chen, Sin-Da; Huang, Sen-Shan On the series expansion of the Göllnitz-Gordon continued fraction. (English) Zbl 1140.11305 Int. J. Number Theory 1, No. 1, 53-63 (2005). MSC: 11B65 11A55 PDF BibTeX XML Cite \textit{S.-D. Chen} and \textit{S.-S. Huang}, Int. J. Number Theory 1, No. 1, 53--63 (2005; Zbl 1140.11305) Full Text: DOI
Capparelli, S. On some theorems of Hirschhorn. (English) Zbl 1128.11045 Commun. Algebra 32, No. 2, 629-635 (2004). MSC: 11P83 17B67 PDF BibTeX XML Cite \textit{S. Capparelli}, Commun. Algebra 32, No. 2, 629--635 (2004; Zbl 1128.11045) Full Text: DOI
Sellers, James A.; Sills, Andrew V.; Mullen, Gary L. Bijections and congruences for generalizations of partition identities of Euler and Guy. (English) Zbl 1058.05006 Electron. J. Comb. 11, No. 1, Research paper R43, 19 p. (2004). MSC: 05A17 11P83 PDF BibTeX XML Cite \textit{J. A. Sellers} et al., Electron. J. Comb. 11, No. 1, Research paper R43, 19 p. (2004; Zbl 1058.05006) Full Text: EuDML EMIS
Sondow, Jonathan Criteria for irrationality of Euler’s constant. (English) Zbl 1113.11040 Proc. Am. Math. Soc. 131, No. 11, 3335-3344 (2003). Reviewer: Olaf Ninnemann (Berlin) MSC: 11J72 05A19 PDF BibTeX XML Cite \textit{J. Sondow}, Proc. Am. Math. Soc. 131, No. 11, 3335--3344 (2003; Zbl 1113.11040) Full Text: DOI arXiv
Gill, John A note on extending Euler’s connection between continued fractions and power series. (English) Zbl 0932.40001 J. Comput. Appl. Math. 106, No. 2, 299-305 (1999). Reviewer: P.Wynn (México) MSC: 40A15 30B70 PDF BibTeX XML Cite \textit{J. Gill}, J. Comput. Appl. Math. 106, No. 2, 299--305 (1999; Zbl 0932.40001) Full Text: DOI
Sofo, A.; Cerone, P. Generalisation of Euler’s identity. (English) Zbl 0920.05005 Bull. Aust. Math. Soc. 58, No. 3, 359-371 (1998). MSC: 05A15 05A19 PDF BibTeX XML Cite \textit{A. Sofo} and \textit{P. Cerone}, Bull. Aust. Math. Soc. 58, No. 3, 359--371 (1998; Zbl 0920.05005) Full Text: DOI
Son, Seung Hwan Some theta function identities related to the Rogers-Ramanujan continued fraction. (English) Zbl 0911.33011 Proc. Am. Math. Soc. 126, No. 10, 2895-2902 (1998). MSC: 33D10 11A55 11B65 PDF BibTeX XML Cite \textit{S. H. Son}, Proc. Am. Math. Soc. 126, No. 10, 2895--2902 (1998; Zbl 0911.33011) Full Text: DOI
Haukkanen, Pentti; Wang, Jun High degree analogs of Menon’s identity. (English) Zbl 0896.11002 Indian J. Math. 39, No. 1, 37-42 (1997). Reviewer: J.Spilker (Freiburg i.Br.) MSC: 11A25 PDF BibTeX XML Cite \textit{P. Haukkanen} and \textit{J. Wang}, Indian J. Math. 39, No. 1, 37--42 (1997; Zbl 0896.11002)
Neher, Erhard Jacobis Tripelprodukt-Identität und \(\eta\)-Identitäten in der Theorie affiner Lie-Algebren. (Jacobi’s triple product identity and \(\eta\)- identities in the theory of affine Lie algebras). (German) Zbl 0596.17009 Jahresber. Dtsch. Math.-Ver. 87, 164-181 (1985). Reviewer: G.Köhler MSC: 17B65 11F11 05A19 11P81 PDF BibTeX XML Cite \textit{E. Neher}, Jahresber. Dtsch. Math.-Ver. 87, 164--181 (1985; Zbl 0596.17009)
Haruki, Hiroshi A proof of Euler’s identity by a functional equation. (English) Zbl 0561.30019 Aequationes Math. 28, 138-143 (1985). Reviewer: I.N.Baker MSC: 30D10 33B10 PDF BibTeX XML Cite \textit{H. Haruki}, Aequationes Math. 28, 138--143 (1985; Zbl 0561.30019) Full Text: DOI EuDML
Apostol, Tom M. A proof that Euler missed: Evaluating \(\zeta\) (2) the easy way. (English) Zbl 0538.10001 Math. Intell. 5, No. 3, 59-60 (1983). Reviewer: F.Beukers MSC: 11-01 11M06 40A05 PDF BibTeX XML Cite \textit{T. M. Apostol}, Math. Intell. 5, No. 3, 59--60 (1983; Zbl 0538.10001) Full Text: DOI
Muwafi, Amin A. A recursion-type formula for some partitions. (English) Zbl 0476.10010 Fibonacci Q. 19, 447-449 (1981). Reviewer: Hansraj Gupta (Allahabad) MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{A. A. Muwafi}, Fibonacci Q. 19, 447--449 (1981; Zbl 0476.10010)
Ewell, John A. An easy proof of the triple-product identity. (English) Zbl 0471.40001 Am. Math. Mon. 88, 270-272 (1981). MSC: 40A20 PDF BibTeX XML Cite \textit{J. A. Ewell}, Am. Math. Mon. 88, 270--272 (1981; Zbl 0471.40001) Full Text: DOI
Knuth, Donald E.; Paterson, Michael S. Identities from partition involutions. (English) Zbl 0392.10016 Fibonacci Q. 16, 198-212 (1978). Reviewer: Mohindar S. Cheema (Tucson) MSC: 11P81 05A17 05A19 PDF BibTeX XML Cite \textit{D. E. Knuth} and \textit{M. S. Paterson}, Fibonacci Q. 16, 198--212 (1978; Zbl 0392.10016)
Carlini, L. A theorem on the function \(\varphi\) of Gauss.. (Un teorema sulla funzione \(\varphi\) di Gauss..) (Italian) JFM 33.0198.02 Periodico di Mat. (2) 4, 329 (1902). Reviewer: Lampe, Prof. (Berlin) MSC: 11A25 PDF BibTeX XML Cite \textit{L. Carlini}, Periodico di Mat. (2) 4, 329 (1902; JFM 33.0198.02)
Meissel, E. Note on the number of all representations of very large positive integers as sums of positive integers. (Notiz über die Anzahl aller Zerlegungen sehr grosser ganzer positiver Zahlen in Summen ganzer positiver Zahlen.) (German) JFM 02.0099.02 Pr. Iserlohn. Bädecker. 1870 (1870). Reviewer: Netto, Dr. (Berlin) MSC: 11P82 05A19 PDF BibTeX XML
Sardi, C. On sums of divisors of numbers. (Sulle somme de’ divisori de’ numeri.) (Italian) JFM 02.0091.01 Battagl. G. VII, 112-116 (1869). Reviewer: Netto, Dr. (Berlin) MSC: 11P82 05A19 PDF BibTeX XML Cite \textit{C. Sardi}, Battaglini G. 7, 112--116 (1869; JFM 02.0091.01)