Miranda-Neto, Cleto B. An ideal-theoretic approach to Keller maps. (English) Zbl 1423.14342 Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 1033-1044 (2019). Reviewer: Yan Dan (Changsha) MSC: 14R15 14R10 13F20 PDFBibTeX XMLCite \textit{C. B. Miranda-Neto}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 1033--1044 (2019; Zbl 1423.14342) Full Text: DOI
Kulikov, Vladimir R.; Stepanenko, V. A. On solutions and Waring’s formulas for systems of \(n\) algebraic equations for \(n\) unknowns. (English) Zbl 1394.11031 St. Petersbg. Math. J. 26, No. 5, 839-848 (2015); translation from Algebra Anal. 26, No. 5, 200-214 (2014). MSC: 11D72 33C70 PDFBibTeX XMLCite \textit{V. R. Kulikov} and \textit{V. A. Stepanenko}, St. Petersbg. Math. J. 26, No. 5, 839--848 (2015; Zbl 1394.11031); translation from Algebra Anal. 26, No. 5, 200--214 (2014) Full Text: DOI
Kytmanov, A. M.; Myslivets, S. G. On the zeta-function of systems of nonlinear equations. (Russian, English) Zbl 1164.32303 Sib. Mat. Zh. 48, No. 5, 1073-1082 (2007); translation in Sib. Math. J. 48, No. 5, 863-870 (2007). MSC: 32A27 32A20 32A26 PDFBibTeX XMLCite \textit{A. M. Kytmanov} and \textit{S. G. Myslivets}, Sib. Mat. Zh. 48, No. 5, 1073--1082 (2007; Zbl 1164.32303); translation in Sib. Math. J. 48, No. 5, 863--870 (2007) Full Text: EuDML EMIS
Elkadi, Mohamed; Yger, Alain Residue calculus and applications. (English) Zbl 1136.32300 Publ. Res. Inst. Math. Sci. 43, No. 1, 55-73 (2007). MSC: 32A27 68W30 65D17 68U07 PDFBibTeX XMLCite \textit{M. Elkadi} and \textit{A. Yger}, Publ. Res. Inst. Math. Sci. 43, No. 1, 55--73 (2007; Zbl 1136.32300) Full Text: DOI
Samuelsson, Håkan Regularizations of products of residue and principal value currents. (English) Zbl 1111.32005 J. Funct. Anal. 239, No. 2, 566-593 (2006). MSC: 32C30 PDFBibTeX XMLCite \textit{H. Samuelsson}, J. Funct. Anal. 239, No. 2, 566--593 (2006; Zbl 1111.32005) Full Text: DOI arXiv
Yger, Alain Analytic and algebraic ideas: how to profit from their complementarity. (English) Zbl 1087.32007 Sabadini, Irene (ed.) et al., Harmonic analysis, signal processing, and complexity. Festschrift in honor of the 60th birthday of Carlos A. Berenstein. Papers from the conference in Berenstein’s honor held at George Mason University, Fairfax, VA, USA, May 17–20, 2004. Boston, MA: Birkhäuser (ISBN 0-8176-4358-3/hbk). Progress in Mathematics 238, 15-28 (2005). MSC: 32C30 32A27 PDFBibTeX XMLCite \textit{A. Yger}, Prog. Math. 238, 15--28 (2005; Zbl 1087.32007)
Zhang, Hai The Jacobi formulae and analytic methods. (Formules de Jacobi et méthodes analytiques.) (French) Zbl 1080.32002 Colloq. Math. 102, No. 2, 229-243 (2005). Reviewer: Vasily A. Chernecky (Odessa) MSC: 32A27 32A25 32C30 14C20 32H35 PDFBibTeX XMLCite \textit{H. Zhang}, Colloq. Math. 102, No. 2, 229--243 (2005; Zbl 1080.32002) Full Text: DOI
Jin, Boping; Myerson, Gerry Homogeneous covering congruences and subgroup covers. (English) Zbl 1074.11003 J. Number Theory 110, No. 1, 120-135 (2005). Reviewer: Štefan Porubský (Praha) MSC: 11A07 11B25 PDFBibTeX XMLCite \textit{B. Jin} and \textit{G. Myerson}, J. Number Theory 110, No. 1, 120--135 (2005; Zbl 1074.11003) Full Text: DOI
Berenstein, Carlos. A.; Vidras, Alekos; Yger, Alain Analytic residues along algebraic cycles. (English) Zbl 1062.32001 J. Complexity 21, No. 1, 5-42 (2005). Reviewer: Vasily A. Chernecky (Odessa) MSC: 32A25 32C30 32A27 PDFBibTeX XMLCite \textit{Carlos. A. Berenstein} et al., J. Complexity 21, No. 1, 5--42 (2005; Zbl 1062.32001) Full Text: DOI arXiv
Antipova, I. A. An expression for the superposition of general algebraic functions in terms of hypergeometric series. (Russian, English) Zbl 1056.33010 Sib. Mat. Zh. 44, No. 5, 972-980 (2003); translation in Sib. Math. J. 44, No. 5, 757-764 (2003). MSC: 33C65 44A15 32A27 14H05 PDFBibTeX XMLCite \textit{I. A. Antipova}, Sib. Mat. Zh. 44, No. 5, 972--980 (2003; Zbl 1056.33010); translation in Sib. Math. J. 44, No. 5, 757--764 (2003) Full Text: EuDML EMIS
Myslivets, S. G. Boundary behavior of an integral of logarithmic residue type. (English. Russian original) Zbl 1034.32004 Russ. Math. 46, No. 4, 43-48 (2002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2002, No. 4, 45-50 (2002). Reviewer: Eleonora Storozhenko (Odessa) MSC: 32A27 PDFBibTeX XMLCite \textit{S. G. Myslivets}, Russ. Math. 46, No. 4, 43--48 (2002; Zbl 1034.32004); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2002, No. 4, 45--50 (2002)
Kytmanov, A. M.; Tsikh, A. K. Integral representations and residues (according to results of the Krasnoyarsk school). (Russian) Zbl 1045.32006 Chirka, E. M. (ed.), Complex analysis in modern mathematics. On the 80th anniversary of the birth of Boris Vladimirovich Shabat. Moscow: Izdatel’stvo FAZIS (ISBN 5-7036-0066-9). 181-199 (2001). Reviewer: Vasily A. Chernecky (Odessa) MSC: 32A27 32A25 32-02 PDFBibTeX XMLCite \textit{A. M. Kytmanov} and \textit{A. K. Tsikh}, in: Комплексный анализ в современной математике. К 80-летию со дня рождения Бориса Владимировича Шабата. Moscow: Izdatel'stvo FAZIS. 181--199 (2001; Zbl 1045.32006)
Dalal, Neal; Rabin, Jeffrey M. Magnification relations in gravitational lensing via multidimensional residue integrals. (English) Zbl 1009.83008 J. Math. Phys. 42, No. 4, 1818-1836 (2001). MSC: 83C10 32A25 PDFBibTeX XMLCite \textit{N. Dalal} and \textit{J. M. Rabin}, J. Math. Phys. 42, No. 4, 1818--1836 (2001; Zbl 1009.83008) Full Text: DOI arXiv
Vidras, Alekos; Yger, Alain On some generalizations of Jacobi’s residue formula. (English) Zbl 0991.32003 Ann. Sci. Éc. Norm. Supér. (4) 34, No. 1, 131-157 (2001). Reviewer: Aleksandr G.Aleksandrov (Moskva) MSC: 32A27 32A25 32C30 13F20 14M25 14Q20 PDFBibTeX XMLCite \textit{A. Vidras} and \textit{A. Yger}, Ann. Sci. Éc. Norm. Supér. (4) 34, No. 1, 131--157 (2001; Zbl 0991.32003) Full Text: DOI arXiv Numdam EuDML
Aizenberg, L. A. Multidimensional logarithmic residues and their applications. (English) Zbl 0955.32008 Begehr, Heinrich G. W. (ed.) et al., Complex methods for partial differential equations. Collection of manuscripts originating from talks and lectures given at the workshop on recent trends in complex methods for partial differential equations, Ankara, Turkey, July 6-10, 1998. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 6, 151-153 (1999). Reviewer: Abduhamid Džuraev (Isfara) MSC: 32D20 32D99 32W99 PDFBibTeX XMLCite \textit{L. A. Aizenberg}, Int. Soc. Anal. Appl. Comput. 6, 151--153 (1999; Zbl 0955.32008)
Hwang, Jyh-Haur; Tsay, Sun-Yuan; Hwang, Chyi Variance and covariance computations for 2-D ARMA processes. (English) Zbl 0926.93040 Multidimensional Syst. Signal Process. 10, No. 2, 137-160 (1999). Reviewer: T.Kaczorek (Warszawa) MSC: 93C35 93E25 93C62 PDFBibTeX XMLCite \textit{J.-H. Hwang} et al., Multidimensional Syst. Signal Process. 10, No. 2, 137--160 (1999; Zbl 0926.93040) Full Text: DOI
Kytmanov, A. M.; Myslivets, S. G. The holomorphic continuation of functions along complex curves. (English. Russian original) Zbl 0961.32014 Dokl. Math. 57, No. 1, 47-49 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 3, 302-304 (1998). MSC: 32D15 32A26 PDFBibTeX XMLCite \textit{A. M. Kytmanov} and \textit{S. G. Myslivets}, Dokl. Math. 57, No. 1, 302--304 (1998; Zbl 0961.32014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 3, 302--304 (1998)
Cochrane, Todd; Myerson, Gerry Covering congruences in higher dimensions. (English) Zbl 0858.11005 Rocky Mt. J. Math. 26, No. 1, 77-81 (1996). Reviewer: Š.Porubský (Praha) MSC: 11A07 11B25 PDFBibTeX XMLCite \textit{T. Cochrane} and \textit{G. Myerson}, Rocky Mt. J. Math. 26, No. 1, 77--81 (1996; Zbl 0858.11005) Full Text: DOI Link
Ermolaeva, T. O.; Tsikh, A. K. Integration of rational functions over \(\mathbb{R}^ n\) by means of toric compactifications and multidimensional residues. (English. Russian original) Zbl 0876.32002 Sb. Math. 187, No. 9, 1301-1318 (1996); translation from Mat. Sb. 187, No. 9, 45-64 (1996). Reviewer: Na Jisheng (Beijing) MSC: 32A27 26C15 32C30 14M25 PDFBibTeX XMLCite \textit{T. O. Ermolaeva} and \textit{A. K. Tsikh}, Sb. Math. 187, No. 9, 1301--1318 (1996; Zbl 0876.32002); translation from Mat. Sb. 187, No. 9, 45--64 (1996) Full Text: DOI
Tsutsui, Toru Interaction of regular singularities in linear propagation. (English) Zbl 0858.35020 Kyushu J. Math. 49, No. 2, 331-404 (1995). Reviewer: A.Džuraev (Berlin) MSC: 35E15 35A20 PDFBibTeX XMLCite \textit{T. Tsutsui}, Kyushu J. Math. 49, No. 2, 331--404 (1995; Zbl 0858.35020) Full Text: DOI
Bekker, B. M. Class field theory for multidimensional complete fields with quasifinite residue field. (Russian) Zbl 0854.11064 Tr. St-Peterbg. Mat. Obshch. 3, 128-134 (1995). Reviewer: H.Koch (Berlin) MSC: 11S31 11R37 PDFBibTeX XMLCite \textit{B. M. Bekker}, Tr. St-Peterbg. Mat. Obshch. 3, 128--134 (1995; Zbl 0854.11064)
Bekker, B. M. Class field theory for multidimensional complete fields with quasifinite residue fields. (English) Zbl 0912.11049 Ladyzhenskaya, O. A. (ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. III. Transl. ed. by A. B. Sosinsky. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 166, 101-106 (1995). MSC: 11S31 11R37 PDFBibTeX XMLCite \textit{B. M. Bekker}, Transl., Ser. 2, Am. Math. Soc. 166, 101--106 (1995; Zbl 0912.11049)
Berenstein, Carlos A.; Gay, Roger; Vidras, Alekos; Yger, Alain Residue currents and Bezout identities. (English) Zbl 0802.32001 Progress in Mathematics (Boston, Mass.). 114. Basel: Birkhäuser. xi, 158 p. (1993). Reviewer: D.Barlet (Vandœuvre-les-Nancy) MSC: 32-02 32B05 32A25 32A22 32A27 PDFBibTeX XMLCite \textit{C. A. Berenstein} et al., Residue currents and Bezout identities. Basel: Birkhäuser (1993; Zbl 0802.32001)
Bertozzi, Andrea; McKenna, James Multidimensional residues, generating functions, and their application to queueing networks. (English) Zbl 0781.90040 SIAM Rev. 35, No. 2, 239-268 (1993). MSC: 90B22 60K25 60K20 32A27 68M20 PDFBibTeX XMLCite \textit{A. Bertozzi} and \textit{J. McKenna}, SIAM Rev. 35, No. 2, 239--268 (1993; Zbl 0781.90040) Full Text: DOI
Rosen, Dan; Cormack, Donald E. Singular and near singular integrals in the BEM: A global approach. (English) Zbl 0771.65076 SIAM J. Appl. Math. 53, No. 2, 340-357 (1993). Reviewer: J.Elschner (Berlin) MSC: 65N38 65R20 65D32 41A55 41A63 45E05 PDFBibTeX XMLCite \textit{D. Rosen} and \textit{D. E. Cormack}, SIAM J. Appl. Math. 53, No. 2, 340--357 (1993; Zbl 0771.65076) Full Text: DOI
Ajzenberg, L. A.; Kytmanov, A. M.; Prenov, B. B. Application of the multidimensional logarithmic residue for obtaining analogues of the Oppenheim identity. (Russian) Zbl 0606.10025 Dokl. Akad. Nauk UzSSR 1986, No. 5, 11-13 (1986). Reviewer: G.Lomadze MSC: 11H06 11P21 PDFBibTeX XMLCite \textit{L. A. Ajzenberg} et al., Dokl. Akad. Nauk UzSSR 1986, No. 5, 11--13 (1986; Zbl 0606.10025)
Friesner, Richard A.; Wyatt, Robert E.; Hempel, C.; Criner, B. A generalized version of the recursive residue generation method for vector computers. (English) Zbl 0585.65036 J. Comput. Phys. 64, 220-229 (1986). MSC: 65F30 81Q10 PDFBibTeX XMLCite \textit{R. A. Friesner} et al., J. Comput. Phys. 64, 220--229 (1986; Zbl 0585.65036) Full Text: DOI
Ajzenberg, L. A. Application of multidimensional logarithmic residue to number theory. An integral formula for the difference between the number of integral points in a domain and its volume. (Russian) Zbl 0599.10043 Ann. Pol. Math. 46, 395-401 (1985). Reviewer: G.Gogishvili MSC: 11P21 32A27 11H99 PDFBibTeX XMLCite \textit{L. A. Ajzenberg}, Ann. Pol. Math. 46, 395--401 (1985; Zbl 0599.10043) Full Text: DOI
Fabrykowski, J. On multidimensional covering systems of congruences. (English) Zbl 0585.10038 Rocky Mt. J. Math. 15, 371-375 (1985). Reviewer: Št.Porubský MSC: 11B25 11A07 PDFBibTeX XMLCite \textit{J. Fabrykowski}, Rocky Mt. J. Math. 15, 371--375 (1985; Zbl 0585.10038) Full Text: DOI
Fabrykowski, J. Multidimensional covering systems of congruences. (English) Zbl 0531.10056 Acta Arith. 43, 191-208 (1984). Reviewer: Št. Porubský MSC: 11B25 11A07 PDFBibTeX XMLCite \textit{J. Fabrykowski}, Acta Arith. 43, 191--208 (1984; Zbl 0531.10056) Full Text: DOI EuDML
Ajzenberg, L. A. Application of the multidimensional logarithmic residue to represent in the form of an integral the difference between the number of lattice points in a domain and its volume. (English. Russian original) Zbl 0535.10047 Sov. Math., Dokl. 27, 615-617 (1983); translation from Dokl. Akad. Nauk SSSR 270, 521-523 (1983). Reviewer: F.Fricker MSC: 11P21 32A27 11H99 30E15 32A30 PDFBibTeX XMLCite \textit{L. A. Ajzenberg}, Sov. Math., Dokl. 27, 615--617 (1983; Zbl 0535.10047); translation from Dokl. Akad. Nauk SSSR 270, 521--523 (1983)
Korobov, N. M. On an estimate of A. O. Gel’fond. (English. Russian original) Zbl 0519.10048 Mosc. Univ. Math. Bull. 38, No. 3, 1-6 (1983); translation from Vestn. Mosk. Univ., Ser. I 1983, No. 3, 3-7 (1983). Reviewer: Kunrui Yu (Beijing) MSC: 11K60 11J13 11A07 65D32 41A55 PDFBibTeX XMLCite \textit{N. M. Korobov}, Mosc. Univ. Math. Bull. 38, No. 3, 1--6 (1983; Zbl 0519.10048); translation from Vestn. Mosk. Univ., Ser. I 1983, No. 3, 3--7 (1983)
Bolotov, V. A. A certain generalization of multidimensional logarithmic residue. (English) Zbl 0503.32004 Sov. Math. 25, No. 6, 19-24 (1981). MSC: 32A27 32A25 32H99 PDFBibTeX XMLCite \textit{V. A. Bolotov}, Sov. Math. 25, No. 6, 19--24 (1981; Zbl 0503.32004)
Ajzenberg, L. A.; Bolotov, V. A.; Tsikh, A. K. On the solution of systems of nonlinear algebraic equations using the multidimensional logarithmic residue. On the solvability in radicals. (English. Russian original) Zbl 0503.12014 Sov. Math., Dokl. 21, 645-648 (1980); translation from Dokl. Akad. Nauk SSSR 252, 11-14 (1980). MSC: 12D10 65H10 12E12 PDFBibTeX XMLCite \textit{L. A. Ajzenberg} et al., Sov. Math., Dokl. 21, 645--648 (1980; Zbl 0503.12014); translation from Dokl. Akad. Nauk SSSR 252, 11--14 (1980)
Ajzenberg, L. A.; Bolotov, V. A.; Tsikh, A. K. On the solution of systems of nonlinear algebraic equations with the aid of the multidimensional logarithmic residue. On the solvability in radicals. (Russian) Zbl 0475.12027 Some questions of multidimensional complex analysis, Work Collect., Krasnoyarsk 1980, 3-12 (1980). MSC: 12E12 32A27 PDFBibTeX XML