Reynolds, Robert; Stauffer, Allan A quadruple integral involving the exponential logarithm of quotient radicals in terms of the Hurwitz-Lerch zeta function. (English) Zbl 1507.11079 Ural Math. J. 8, No. 2, 153-161 (2022). MSC: 11M35 30E20 PDF BibTeX XML Cite \textit{R. Reynolds} and \textit{A. Stauffer}, Ural Math. J. 8, No. 2, 153--161 (2022; Zbl 1507.11079) Full Text: DOI MNR OpenURL
Campbell, John M.; Levrie, Paul; Nimbran, Amrik Singh A natural companion to Catalan’s constant. (English) Zbl 1499.33016 J. Class. Anal. 18, No. 2, 117-135 (2021). MSC: 33B30 33B15 33C20 PDF BibTeX XML Cite \textit{J. M. Campbell} et al., J. Class. Anal. 18, No. 2, 117--135 (2021; Zbl 1499.33016) Full Text: DOI OpenURL
Howard, Roy M. Arbitrarily accurate spline based approximations for the hyperbolic tangent function and applications. (English) Zbl 07489838 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 215, 59 p. (2021). MSC: 41A15 26A09 26A48 26D07 33B10 41A58 44A10 PDF BibTeX XML Cite \textit{R. M. Howard}, Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 215, 59 p. (2021; Zbl 07489838) Full Text: DOI OpenURL
Fassari, S.; Nieto, L. M.; Rinaldi, F.; San Millán, C. The quantum harmonic oscillator and Catalan’s constant. (English) Zbl 07458547 Rep. Math. Phys. 88, No. 2, 195-202 (2021). MSC: 81-XX 83-XX PDF BibTeX XML Cite \textit{S. Fassari} et al., Rep. Math. Phys. 88, No. 2, 195--202 (2021; Zbl 07458547) Full Text: DOI OpenURL
Chu, Wenchang Infinite series formulae related to Gauss and Bailey \(_2F_1(\frac{1}{2})\)-sums. (English) Zbl 1499.33020 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 2, 293-315 (2020). MSC: 33C05 11Y60 41A60 PDF BibTeX XML Cite \textit{W. Chu}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 2, 293--315 (2020; Zbl 1499.33020) Full Text: DOI OpenURL
Reynolds, Robert; Stauffer, Allan Derivation of logarithmic integrals expressed in teams of the Hurwitz zeta function. (English) Zbl 1484.30042 AIMS Math. 5, No. 6, 7252-7258 (2020). MSC: 30D10 11M06 11M35 30D30 30E20 PDF BibTeX XML Cite \textit{R. Reynolds} and \textit{A. Stauffer}, AIMS Math. 5, No. 6, 7252--7258 (2020; Zbl 1484.30042) Full Text: DOI OpenURL
Hoffman, Michael E. An odd variant of multiple zeta values. (English) Zbl 1447.11095 Commun. Number Theory Phys. 13, No. 3, 529-567 (2019). MSC: 11M32 05E05 11M35 33C20 PDF BibTeX XML Cite \textit{M. E. Hoffman}, Commun. Number Theory Phys. 13, No. 3, 529--567 (2019; Zbl 1447.11095) Full Text: arXiv OpenURL
Dahl, Alexander; Lamzouri, Youness The distribution of class numbers in a special family of real quadratic fields. (English) Zbl 1442.11149 Trans. Am. Math. Soc. 370, No. 9, 6331-6356 (2018). MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{A. Dahl} and \textit{Y. Lamzouri}, Trans. Am. Math. Soc. 370, No. 9, 6331--6356 (2018; Zbl 1442.11149) Full Text: DOI arXiv OpenURL
Alkan, Emre; Göral, Haydar Structural properties of Dirichlet series with harmonic coefficients. (English) Zbl 1420.11112 Ramanujan J. 45, No. 2, 569-600 (2018). MSC: 11M06 11M41 30B50 30D05 33B10 PDF BibTeX XML Cite \textit{E. Alkan} and \textit{H. Göral}, Ramanujan J. 45, No. 2, 569--600 (2018; Zbl 1420.11112) Full Text: DOI OpenURL
Nimbran, Amrik Singh; Levrie, Paul Some continued fractions for \(\pi\) and \(G\). (English) Zbl 1400.11020 Indian J. Pure Appl. Math. 48, No. 2, 187-204 (2017). MSC: 11A55 11Y60 PDF BibTeX XML Cite \textit{A. S. Nimbran} and \textit{P. Levrie}, Indian J. Pure Appl. Math. 48, No. 2, 187--204 (2017; Zbl 1400.11020) Full Text: DOI arXiv OpenURL
Elaissaoui, Lahoucine; Guennoun, Zine El Abidine Evaluation of log-tangent integrals by series involving \(\zeta(2n+1)\). (English) Zbl 1381.11066 Integral Transforms Spec. Funct. 28, No. 6, 460-475 (2017). Reviewer: Giovanni Coppola (Avellino) MSC: 11M06 26D15 11L03 PDF BibTeX XML Cite \textit{L. Elaissaoui} and \textit{Z. E. A. Guennoun}, Integral Transforms Spec. Funct. 28, No. 6, 460--475 (2017; Zbl 1381.11066) Full Text: DOI arXiv OpenURL
Gauthier, Claude Irrationality of \(\gamma, \zeta(m)\) and \(\beta(m)\). (English) Zbl 1499.11242 JP J. Algebra Number Theory Appl. 37, No. 1, 41-52 (2015). MSC: 11J72 11M06 PDF BibTeX XML Cite \textit{C. Gauthier}, JP J. Algebra Number Theory Appl. 37, No. 1, 41--52 (2015; Zbl 1499.11242) Full Text: DOI OpenURL
Nimbran, Amrik Singh Enhancing the convergence of Ramanujan’s series and deriving similar series for Catalan’s constant and \(\pi \sqrt{3}\). (English) Zbl 1395.11144 Math. Stud. 84, No. 3-4, 25-38 (2015). MSC: 11Y60 65B10 33F05 PDF BibTeX XML Cite \textit{A. S. Nimbran}, Math. Stud. 84, No. 3--4, 25--38 (2015; Zbl 1395.11144) OpenURL
Hürlimann, Werner Exact and asymptotic evaluation of the number of distinct primitive cuboids. (English) Zbl 1310.11039 J. Integer Seq. 18, No. 2, Article 15.2.5, 9 p. (2015). MSC: 11D45 11N37 11A25 11B34 PDF BibTeX XML Cite \textit{W. Hürlimann}, J. Integer Seq. 18, No. 2, Article 15.2.5, 9 p. (2015; Zbl 1310.11039) Full Text: EMIS OpenURL
Alkan, Emre Series representations in the spirit of Ramanujan. (English) Zbl 1309.33023 J. Math. Anal. Appl. 410, No. 1, 11-26 (2014). MSC: 33E20 33B10 33C45 PDF BibTeX XML Cite \textit{E. Alkan}, J. Math. Anal. Appl. 410, No. 1, 11--26 (2014; Zbl 1309.33023) Full Text: DOI OpenURL
Liu, Guo-Dong; Srivastava, H. M.; Wang, Hai-Qing Some formulas for a family of numbers analogous to the higher-order Bernoulli numbers. (English) Zbl 1285.11037 J. Integer Seq. 17, No. 4, Article 14.4.6, 18 p. (2014). MSC: 11B68 11B83 05A19 PDF BibTeX XML Cite \textit{G.-D. Liu} et al., J. Integer Seq. 17, No. 4, Article 14.4.6, 18 p. (2014; Zbl 1285.11037) Full Text: EMIS OpenURL
Bell, Jordan Estimates for the norms of products of sines and cosines. (English) Zbl 1311.11098 J. Math. Anal. Appl. 405, No. 2, 530-545 (2013). MSC: 11P82 11B65 47A30 PDF BibTeX XML Cite \textit{J. Bell}, J. Math. Anal. Appl. 405, No. 2, 530--545 (2013; Zbl 1311.11098) Full Text: DOI arXiv OpenURL
Kachi, Yasuyuki; Tzermias, Pavlos Infinite products involving \(\zeta (3)\) and Catalan’s constant. (English) Zbl 1285.11152 J. Integer Seq. 15, No. 9, Article 12.9.4, 16 p. (2012). MSC: 11Y60 11M06 33B99 40A25 PDF BibTeX XML Cite \textit{Y. Kachi} and \textit{P. Tzermias}, J. Integer Seq. 15, No. 9, Article 12.9.4, 16 p. (2012; Zbl 1285.11152) Full Text: EMIS OpenURL
Lima, F. M. S. An Euler-type formula for \(\beta (2n)\) and closed-form expressions for a class of zeta series. (English) Zbl 1269.30004 Integral Transforms Spec. Funct. 23, No. 9, 649-657 (2012). Reviewer: Renata Macaitiene (Vilnius) MSC: 30B50 11M36 65D15 PDF BibTeX XML Cite \textit{F. M. S. Lima}, Integral Transforms Spec. Funct. 23, No. 9, 649--657 (2012; Zbl 1269.30004) Full Text: DOI arXiv OpenURL
Borwein, D.; Borwein, J. M.; Glasser, M. L.; Wan, J. G. Moments of Ramanujan’s generalized elliptic integrals and extensions of Catalan’s constant. (English) Zbl 1228.11183 J. Math. Anal. Appl. 384, No. 2, 478-496 (2011). Reviewer: Cristinel Mortici (Targoviste) MSC: 11Y60 33E05 PDF BibTeX XML Cite \textit{D. Borwein} et al., J. Math. Anal. Appl. 384, No. 2, 478--496 (2011; Zbl 1228.11183) Full Text: DOI OpenURL
Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana Series acceleration formulae for beta values. (English) Zbl 1250.05018 Discrete Math. Theor. Comput. Sci. 12, No. 2, 223-236 (2010). MSC: 05A15 11Y60 33F10 PDF BibTeX XML Cite \textit{K. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, Discrete Math. Theor. Comput. Sci. 12, No. 2, 223--236 (2010; Zbl 1250.05018) Full Text: Link OpenURL
Wituła, Roman Ramanujan type trigonometric formulas: the general form for the argument \(\frac{2\pi}{7}\). (English) Zbl 1201.11022 J. Integer Seq. 12, No. 8, Article ID 09.8.5, 23 p. (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11B37 11B83 11Y55 33B10 PDF BibTeX XML Cite \textit{R. Wituła}, J. Integer Seq. 12, No. 8, Article ID 09.8.5, 23 p. (2009; Zbl 1201.11022) Full Text: EuDML EMIS OpenURL
Krattenthaler, C.; Rivoal, T. On a linear form for Catalan’s constant. (English) Zbl 1217.11070 South East Asian J. Math. Math. Sci. 6, No. 2, 3-15 (2008). MSC: 11J72 11J82 33C20 33D15 PDF BibTeX XML Cite \textit{C. Krattenthaler} and \textit{T. Rivoal}, South East Asian J. Math. Math. Sci. 6, No. 2, 3--15 (2008; Zbl 1217.11070) Full Text: arXiv Link OpenURL
Slater, Paul B. Extended studies of separability functions and probabilities and the relevance of Dyson indices. (English) Zbl 1192.81028 J. Geom. Phys. 58, No. 9, 1101-1123 (2008). MSC: 81P05 81P68 65C05 52A38 15A99 28A75 PDF BibTeX XML Cite \textit{P. B. Slater}, J. Geom. Phys. 58, No. 9, 1101--1123 (2008; Zbl 1192.81028) Full Text: DOI arXiv OpenURL
Salminen, Paavo; Vallois, Pierre On maximum increase and decrease of Brownian motion. (English) Zbl 1173.60338 Ann. Inst. Henri Poincaré, Probab. Stat. 43, No. 6, 655-676 (2007). MSC: 60J65 60J60 60G17 62P05 PDF BibTeX XML Cite \textit{P. Salminen} and \textit{P. Vallois}, Ann. Inst. Henri Poincaré, Probab. Stat. 43, No. 6, 655--676 (2007; Zbl 1173.60338) Full Text: DOI arXiv Numdam EuDML OpenURL
Alzer, Horst; Karayannakis, Dimitri; Srivastava, H. M. Series representations for some mathematical constants. (English) Zbl 1093.33010 J. Math. Anal. Appl. 320, No. 1, 145-162 (2006). Reviewer: H. S. P. Shrivastava (Ratlam) MSC: 33D99 33E20 26A33 PDF BibTeX XML Cite \textit{H. Alzer} et al., J. Math. Anal. Appl. 320, No. 1, 145--162 (2006; Zbl 1093.33010) Full Text: DOI OpenURL
Adamchik, V. S. The multiple gamma function and its application to computation of series. (English) Zbl 1088.33014 Ramanujan J. 9, No. 3, 271-288 (2005). MSC: 33B15 40A20 11Y60 33F99 33E20 11M35 11B73 PDF BibTeX XML Cite \textit{V. S. Adamchik}, Ramanujan J. 9, No. 3, 271--288 (2005; Zbl 1088.33014) Full Text: DOI arXiv OpenURL
Rivoal, T.; Zudilin, W. Diophantine properties of numbers related to Catalan’s constant. (English) Zbl 1028.11046 Math. Ann. 326, No. 4, 705-721 (2003). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11J72 PDF BibTeX XML Cite \textit{T. Rivoal} and \textit{W. Zudilin}, Math. Ann. 326, No. 4, 705--721 (2003; Zbl 1028.11046) Full Text: DOI Link OpenURL
Zudilin, V. V. Some remarks on linear forms containing Catalan’s constant. (Russian) Zbl 1099.11036 Chebyshevskiĭ Sb. 3, No. 2(4), 60-70 (2002). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 33C20 33C60 11B37 PDF BibTeX XML Cite \textit{V. V. Zudilin}, Chebyshevskiĭ Sb. 3, No. 2(4), 60--70 (2002; Zbl 1099.11036) OpenURL
Kanemitsu, S.; Tanigawa, Y.; Yoshimoto, M. On rapidly convergent series for Dirichlet \(L\)-function values via the modular relation. (English) Zbl 1044.11078 Agarwal, A. K. (ed.) et al., Number theory and discrete mathematics. Proceedings of the international conference in honour of Srinivasa Ramanujan, Chandigarh, India, October 2–6, 2000. Basel: Birkhäuser (ISBN 3-7643-6720-2/hbk). Trends in Mathematics, 113-133 (2002). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11M06 PDF BibTeX XML Cite \textit{S. Kanemitsu} et al., in: Number theory and discrete mathematics. Proceedings of the international conference in honour of Srinivasa Ramanujan, Chandigarh, India, October 2--6, 2000. Basel: Birkhäuser. 113--133 (2002; Zbl 1044.11078) OpenURL
Adamchik, V. S. A certain series associated with Catalan’s constant. (English) Zbl 1009.33006 Z. Anal. Anwend. 21, No. 3, 817-826 (2002). Reviewer: Shaun Cooper (Auckland) MSC: 33C20 33E05 PDF BibTeX XML Cite \textit{V. S. Adamchik}, Z. Anal. Anwend. 21, No. 3, 817--826 (2002; Zbl 1009.33006) Full Text: DOI OpenURL
Bradley, David M. A class of series acceleration formulae for Catalan’s constant. (English) Zbl 0946.11032 Ramanujan J. 3, No. 2, 159-173 (1999). Reviewer: Shaun Cooper (Auckland) MSC: 11Y60 PDF BibTeX XML Cite \textit{D. M. Bradley}, Ramanujan J. 3, No. 2, 159--173 (1999; Zbl 0946.11032) Full Text: DOI arXiv OpenURL
Boyd, David W. Two sharp inequalities for the norm of a factor of a polynomial. (English) Zbl 0758.30003 Mathematika 39, No. 2, 341-349 (1992). Reviewer: D.W.Boyd MSC: 30C10 12D05 12Y05 PDF BibTeX XML Cite \textit{D. W. Boyd}, Mathematika 39, No. 2, 341--349 (1992; Zbl 0758.30003) Full Text: DOI OpenURL
Srivastava, H. M.; Miller, Elizabeth A. A simple reducible case of double hypergeometric series involving Catalan’s constant and Riemann’s \(\zeta\)-function. (English) Zbl 0688.33003 Int. J. Math. Educ. Sci. Technol. 21, No. 3, 375-377 (1990). Reviewer: H.M.Srivastava MSC: 33C20 PDF BibTeX XML Cite \textit{H. M. Srivastava} and \textit{E. A. Miller}, Int. J. Math. Educ. Sci. Technol. 21, No. 3, 375--377 (1990; Zbl 0688.33003) Full Text: DOI OpenURL
de Doelder, P. J. Über einige Integrale, die mit dem arctg-Integral zusammenhängen. (Dutch) Zbl 0561.33010 EUT-Rep., Eindhoven 84-WSK-03, 120-131 (1984). Reviewer: K.S.Kölbig MSC: 33E99 33B15 PDF BibTeX XML OpenURL