Isaacson, Brad Generalized Bernoulli numbers, cotangent power sums, and higher-order arctangent numbers. (English) Zbl 1508.11031 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory V. Selected papers based on the presentations at the CANT 2021 workshop, New York, NY, USA, virtual event, May 24–28, 2021. Cham: Springer. Springer Proc. Math. Stat. 395, 253-261 (2022). MSC: 11B68 33E05 11L03 PDFBibTeX XMLCite \textit{B. Isaacson}, Springer Proc. Math. Stat. 395, 253--261 (2022; Zbl 1508.11031) Full Text: DOI
Chen, Xue-Yan; Wu, Lan; Lim, Dongkyu; Qi, Feng Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind. (English) Zbl 1510.11075 Demonstr. Math. 55, 822-830 (2022). MSC: 11B68 11B73 33B10 PDFBibTeX XMLCite \textit{X.-Y. Chen} et al., Demonstr. Math. 55, 822--830 (2022; Zbl 1510.11075) Full Text: DOI
Park, Bryan An elementary derivation of finite cotangent sums. (English) Zbl 1499.11256 Am. Math. Mon. 129, No. 8, 775-780 (2022). MSC: 11L03 11B68 PDFBibTeX XMLCite \textit{B. Park}, Am. Math. Mon. 129, No. 8, 775--780 (2022; Zbl 1499.11256) Full Text: DOI
Cvijović, Đurđe Another two families of integer-valued polynomials associated with finite trigonometric sums. (English) Zbl 1499.26050 Appl. Anal. Discrete Math. 15, No. 1, 69-81 (2021). MSC: 26C05 11B83 33B10 PDFBibTeX XMLCite \textit{Đ. Cvijović}, Appl. Anal. Discrete Math. 15, No. 1, 69--81 (2021; Zbl 1499.26050) Full Text: DOI
Isaacson, Brad A twisted generalization of the classical Dedekind sum. (English) Zbl 1469.11259 Int. J. Number Theory 17, No. 2, 513-528 (2021). MSC: 11L03 PDFBibTeX XMLCite \textit{B. Isaacson}, Int. J. Number Theory 17, No. 2, 513--528 (2021; Zbl 1469.11259) Full Text: DOI
Ejsmont, Wiktor; Lehner, Franz The free tangent law. (English) Zbl 1469.46060 Adv. Appl. Math. 121, Article ID 102093, 32 p. (2020). MSC: 46L54 11B68 60F05 PDFBibTeX XMLCite \textit{W. Ejsmont} and \textit{F. Lehner}, Adv. Appl. Math. 121, Article ID 102093, 32 p. (2020; Zbl 1469.46060) Full Text: DOI arXiv
Cvijović, Djurdje Two general families of integer-valued polynomials associated with finite trigonometric sums. (English) Zbl 1437.11118 J. Math. Anal. Appl. 488, No. 1, Article ID 124057, 13 p. (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 33B10 11B68 PDFBibTeX XMLCite \textit{D. Cvijović}, J. Math. Anal. Appl. 488, No. 1, Article ID 124057, 13 p. (2020; Zbl 1437.11118) Full Text: DOI
Bayad, Abdelmejid; Goubi, Mouloud Reciprocity formulae for generalized Dedekind-Vasyunin-Cotangent sums. (English) Zbl 1437.11059 Math. Methods Appl. Sci. 42, No. 4, 1082-1098 (2019). MSC: 11F20 11B68 11M35 11M26 PDFBibTeX XMLCite \textit{A. Bayad} and \textit{M. Goubi}, Math. Methods Appl. Sci. 42, No. 4, 1082--1098 (2019; Zbl 1437.11059) Full Text: DOI
Goubi, Mouloud; Bayad, Abdelmejid; Hernane, Mohand Ouamar Explicit and asymptotic formulae for Vasyunin-cotangent sums. (English) Zbl 1499.11158 Publ. Inst. Math., Nouv. Sér. 102(116), 155-174 (2017). MSC: 11B99 11F67 11E45 11M26 11B68 PDFBibTeX XMLCite \textit{M. Goubi} et al., Publ. Inst. Math., Nouv. Sér. 102(116), 155--174 (2017; Zbl 1499.11158) Full Text: DOI
Lee, Tuo Yeong; Lim, Yu Chen; Wu, Shuo An A new proof of Euler’s formula for \(\zeta(2n)\). (English) Zbl 1396.97006 Int. J. Math. Educ. Sci. Technol. 47, No. 7, 1119-1123 (2016). MSC: 97F60 11M06 11B68 PDFBibTeX XMLCite \textit{T. Y. Lee} et al., Int. J. Math. Educ. Sci. Technol. 47, No. 7, 1119--1123 (2016; Zbl 1396.97006) Full Text: DOI
Neto, Antônio Francisco Higher order derivatives of trigonometric functions, Stirling numbers of the second kind, and Zeon algebra. (English) Zbl 1358.11044 J. Integer Seq. 17, No. 9, Article 14.9.3, 9 p. (2014). MSC: 11B73 33B10 05A15 PDFBibTeX XMLCite \textit{A. F. Neto}, J. Integer Seq. 17, No. 9, Article 14.9.3, 9 p. (2014; Zbl 1358.11044) Full Text: EMIS
Chen, Hongwei On summation of subseries of the Riemann zeta function. (English) Zbl 1286.11128 Int. J. Pure Appl. Math. 91, No. 4, 421-433 (2014). MSC: 11M06 11M35 11B68 33B10 PDFBibTeX XMLCite \textit{H. Chen}, Int. J. Pure Appl. Math. 91, No. 4, 421--433 (2014; Zbl 1286.11128) Full Text: DOI Link
Chu, Wenchang; Wang, Chenying Convolution formulae for Bernoulli numbers. (English) Zbl 1214.11030 Integral Transforms Spec. Funct. 21, No. 5-6, 437-457 (2010). Reviewer: Kaori Ota (Tokyo) MSC: 11B68 05A19 PDFBibTeX XMLCite \textit{W. Chu} and \textit{C. Wang}, Integral Transforms Spec. Funct. 21, No. 5--6, 437--457 (2010; Zbl 1214.11030) Full Text: DOI
Cvijović, Djurdje Summation formulae for finite cotangent sums. (English) Zbl 1220.11095 Appl. Math. Comput. 215, No. 3, 1135-1140 (2009). MSC: 11L03 11B68 PDFBibTeX XMLCite \textit{D. Cvijović}, Appl. Math. Comput. 215, No. 3, 1135--1140 (2009; Zbl 1220.11095) Full Text: DOI
Cvijović, Djurdje Values of the derivatives of the cotangent at rational multiples of \(\pi\). (English) Zbl 1163.26302 Appl. Math. Lett. 22, No. 2, 217-220 (2009). MSC: 26A09 33B10 11B68 PDFBibTeX XMLCite \textit{D. Cvijović}, Appl. Math. Lett. 22, No. 2, 217--220 (2009; Zbl 1163.26302) Full Text: DOI Link
Kurokawa, Nobushige Limit values of Eisenstein series and multiple cotangent functions. (English) Zbl 1168.11032 J. Number Theory 128, No. 6, 1775-1783 (2008). Reviewer: Joshua Friedman (Plainview) MSC: 11M36 11B68 PDFBibTeX XMLCite \textit{N. Kurokawa}, J. Number Theory 128, No. 6, 1775--1783 (2008; Zbl 1168.11032) Full Text: DOI
Adamchik, V. S. On the Hurwitz function for rational arguments. (English) Zbl 1138.11039 Appl. Math. Comput. 187, No. 1, 3-12 (2007). Reviewer: Renata Macaitiene (Vilnius) MSC: 11M35 11B68 11B73 PDFBibTeX XMLCite \textit{V. S. Adamchik}, Appl. Math. Comput. 187, No. 1, 3--12 (2007; Zbl 1138.11039) Full Text: DOI
Eisenbud, David Projective geometry and homological algebra. (English) Zbl 0994.13005 Eisenbud, David (ed.) et al., Computations in algebraic geometry with Macaulay 2. Berlin: Springer. Algorithms Comput. Math. 8, 17-40 (2002). Reviewer: Peter Schenzel (Halle) MSC: 13D02 13-04 14H51 14Q05 14N99 PDFBibTeX XMLCite \textit{D. Eisenbud}, Algorithms Comput. Math. 8, 17--40 (2002; Zbl 0994.13005)
Girstmair, Kurt Cyclotomic matrices and a limit formula for \(h^-_p\). (English) Zbl 0973.11094 Acta Arith. 97, No. 2, 129-155 (2001). Reviewer: G.Lettl (Graz) MSC: 11R18 11R29 11B68 PDFBibTeX XMLCite \textit{K. Girstmair}, Acta Arith. 97, No. 2, 129--155 (2001; Zbl 0973.11094) Full Text: DOI
Girstmair, Kurt Some linear relations between values of trigonometric functions at \(\kappa\pi\setminus n\). (English) Zbl 0960.11048 Acta Arith. 81, No. 4, 387-398 (1997). Reviewer: G.Lettl (Graz) MSC: 11R18 11R33 33B10 PDFBibTeX XMLCite \textit{K. Girstmair}, Acta Arith. 81, No. 4, 387--398 (1997; Zbl 0960.11048) Full Text: DOI EuDML
Byrne, Graeme J.; Smith, Simon J. Some integer-valued trigonometric sums. (English) Zbl 0876.33001 Proc. Edinb. Math. Soc., II. Ser. 40, No. 2, 393-401 (1997). Reviewer: S.J.Smith (Bendigo, Victoria) MSC: 33B10 11B68 41A05 PDFBibTeX XMLCite \textit{G. J. Byrne} and \textit{S. J. Smith}, Proc. Edinb. Math. Soc., II. Ser. 40, No. 2, 393--401 (1997; Zbl 0876.33001) Full Text: DOI
Lettl, Günter Stickelberger elements and cotangent numbers. (English) Zbl 0757.11038 Expo. Math. 10, No. 2, 171-182 (1992). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R20 11R29 PDFBibTeX XMLCite \textit{G. Lettl}, Expo. Math. 10, No. 2, 171--182 (1992; Zbl 0757.11038)
Girstmair, Kurt Dirichlet convolution of cotangent numbers and relative class number formulas. (English) Zbl 0717.11048 Monatsh. Math. 110, No. 3-4, 231-256 (1990). Reviewer: Kurt Girstmair MSC: 11R29 11R18 11R20 PDFBibTeX XMLCite \textit{K. Girstmair}, Monatsh. Math. 110, No. 3--4, 231--256 (1990; Zbl 0717.11048) Full Text: DOI EuDML
Arakawa, Tsuneo Dirichlet series \(\sum ^{\infty}_{n=1}\frac{\cot \,\pi n\alpha}{n^ s}\,\), Dedekind sums, and Hecke L-functions for real quadratic fields. (English) Zbl 0667.12006 Comment. Math. Univ. St. Pauli 37, No. 2, 209-235 (1988). MSC: 11R42 11M35 11R11 11A25 PDFBibTeX XMLCite \textit{T. Arakawa}, Comment. Math. Univ. St. Pauli 37, No. 2, 209--235 (1988; Zbl 0667.12006)
Vaisman, Izu Symplectic geometry and secondary characteristic classes. (English) Zbl 0629.53002 Progress in Mathematics, Vol. 72. Boston-Basel: Birkhäuser. IX, 215 p.; DM 79.00 (1987). Reviewer: Gh.Zet MSC: 53-02 58-02 53C15 57R20 58A30 53D50 PDFBibTeX XML
Harris, Joe Families of smooth curves. (English) Zbl 0548.14009 Duke Math. J. 51, 409-419 (1984). MSC: 14H10 57R20 PDFBibTeX XMLCite \textit{J. Harris}, Duke Math. J. 51, 409--419 (1984; Zbl 0548.14009) Full Text: DOI
Dieter, Ulrich Cotangent sums, a further generlization of Dedekind sums. (English) Zbl 0537.10005 J. Number Theory 18, 289-305 (1984). Reviewer: T.M.Apostol MSC: 11B39 11L99 11F03 PDFBibTeX XMLCite \textit{U. Dieter}, J. Number Theory 18, 289--305 (1984; Zbl 0537.10005) Full Text: DOI
Sommese, Andrew J. On the density of ratios of Chern classes of algebraic surfaces. (English) Zbl 0521.14016 Math. Ann. 268, 207-221 (1984). MSC: 14J25 57R20 PDFBibTeX XMLCite \textit{A. J. Sommese}, Math. Ann. 268, 207--221 (1984; Zbl 0521.14016) Full Text: DOI EuDML
Miyaoka, Yoichi The maximal number of quotient singularities on surfaces with given numerical invariants. (English) Zbl 0521.14013 Math. Ann. 268, 159-171 (1984). MSC: 14J17 57R20 14N10 14E15 14B05 PDFBibTeX XMLCite \textit{Y. Miyaoka}, Math. Ann. 268, 159--171 (1984; Zbl 0521.14013) Full Text: DOI EuDML Backlinks: MO
Wang, Kai On a theorem of S. Chowla. (English) Zbl 0491.10024 J. Number Theory 15, 1-4 (1982). MSC: 11J85 11M35 PDFBibTeX XMLCite \textit{K. Wang}, J. Number Theory 15, 1--4 (1982; Zbl 0491.10024) Full Text: DOI
Andre, Michel Produits de Massey et (2p+1)emes déviations. (French) Zbl 0431.13008 Semin. d’Algebre Paul Dubreil et Marie-Paule Malliavin, 32eme Annee, Proc., Paris 1979, Lect. Notes Math. 795, 341-359 (1980). MSC: 13D03 13H99 PDFBibTeX XML
Thaler, M. Ergodic properties of real transformations. (English) Zbl 0414.28017 Ergodic theory, Proc., Oberwolfach 1978, Lect. Notes Math. 729, 203-209 (1979). MSC: 28D05 11K16 PDFBibTeX XML
le Paige, C. On the expansion of \(\text{cot\,}x\). Excerpt from a letter of M. Hermite. (Sur le développement de \(\text{cot\,}x\). Extrait d’une lettre à M. Hermite.) (French) JFM 11.0187.02 C. R. LXXXVIII, 1075-1077 (1879). Reviewer: Müller, F., Dr. (Berlin) MSC: 30B10 33B10 PDFBibTeX XMLCite \textit{C. le Paige}, C. R. Acad. Sci., Paris 88, 1075--1077 (1879; JFM 11.0187.02) Full Text: Gallica