Blanco, Guillem; Budur, Nero; van der Veer, Robin Monodromy conjecture for semi-quasihomogeneous hypersurfaces. (English) Zbl 07747164 Math. Nachr. 296, No. 4, 1394-1403 (2023). MSC: 14E18 14F10 32S40 PDFBibTeX XMLCite \textit{G. Blanco} et al., Math. Nachr. 296, No. 4, 1394--1403 (2023; Zbl 07747164) Full Text: DOI arXiv OA License
Tajahmad, Behzad Reconstruction of \(F(T)\) gravity in homogeneous backgrounds and a general prescription for reconstructing through scalar field. (English) Zbl 1515.83248 Ann. Phys. 446, Article ID 169137, 48 p. (2022). MSC: 83D05 83C55 76M28 83F05 PDFBibTeX XMLCite \textit{B. Tajahmad}, Ann. Phys. 446, Article ID 169137, 48 p. (2022; Zbl 1515.83248) Full Text: DOI
Cobo, Helena The \(b\)-function with respect to weights of hypergeometric ideals of codimension one. (English) Zbl 1509.14044 Port. Math. 79, No. 1-2, 1-28 (2022). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 13N10 13P10 68W30 PDFBibTeX XMLCite \textit{H. Cobo}, Port. Math. 79, No. 1--2, 1--28 (2022; Zbl 1509.14044) Full Text: DOI
Nabeshima, Katsusuke; Tajima, Shinichi Methods for computing \(b\)-functions associated with \(\mu\)-constant deformations: case of inner modality two. (English) Zbl 1509.14116 Kyushu J. Math. 75, No. 1, 55-76 (2021). MSC: 14Q05 13P10 14B05 14F10 14H20 PDFBibTeX XMLCite \textit{K. Nabeshima} and \textit{S. Tajima}, Kyushu J. Math. 75, No. 1, 55--76 (2021; Zbl 1509.14116) Full Text: DOI arXiv
Brychkov, Yu. A.; Savischenko, N. V. Applications of multiple hypergeometric functions in communication theory: a new multiple-wave model with diffuse power. (English) Zbl 1472.94001 Lobachevskii J. Math. 42, No. 8, 1807-1828 (2021). MSC: 94A05 94A12 33C90 PDFBibTeX XMLCite \textit{Yu. A. Brychkov} and \textit{N. V. Savischenko}, Lobachevskii J. Math. 42, No. 8, 1807--1828 (2021; Zbl 1472.94001) Full Text: DOI
Budur, Nero; van der Veer, Robin; Wu, Lei; Zhou, Peng Zero loci of Bernstein-Sato ideals. II. (English) Zbl 1509.14043 Sel. Math., New Ser. 27, No. 3, Paper No. 32, 30 p. (2021). MSC: 14F10 13N10 32C38 32S40 32S55 PDFBibTeX XMLCite \textit{N. Budur} et al., Sel. Math., New Ser. 27, No. 3, Paper No. 32, 30 p. (2021; Zbl 1509.14043) Full Text: DOI arXiv Link
Wu, Lei On the comparison of nearby cycles via \(b\)-functions. (English) Zbl 1461.14025 J. Singul. 23, 92-106 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 32S30 32S40 PDFBibTeX XMLCite \textit{L. Wu}, J. Singul. 23, 92--106 (2021; Zbl 1461.14025) Full Text: DOI arXiv
Wu, Lei; Zhou, Peng Log \(\mathscr{D}\)-modules and index theorems. (English) Zbl 1468.14043 Forum Math. Sigma 9, Paper No. e3, 32 p. (2021). Reviewer: Jan Stevens (Göteborg) MSC: 14F10 32S40 32S60 14C17 14C40 PDFBibTeX XMLCite \textit{L. Wu} and \textit{P. Zhou}, Forum Math. Sigma 9, Paper No. e3, 32 p. (2021; Zbl 1468.14043) Full Text: DOI arXiv
Bath, Daniel Bernstein-Sato varieties and annihilation of powers. (English) Zbl 1460.14048 Trans. Am. Math. Soc. 373, No. 12, 8543-8582 (2020). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 32S40 32S05 32S22 32C38 PDFBibTeX XMLCite \textit{D. Bath}, Trans. Am. Math. Soc. 373, No. 12, 8543--8582 (2020; Zbl 1460.14048) Full Text: DOI arXiv
Brychkov, Yu. A.; Savischenko, N. V. Application of hypergeometric functions of several variables in the mathematical theory of communication: evaluation of error probability in fading singlechannel system. (English) Zbl 1458.94076 Lobachevskii J. Math. 41, No. 10, 1971-1991 (2020). MSC: 94A12 94A40 33C05 PDFBibTeX XMLCite \textit{Yu. A. Brychkov} and \textit{N. V. Savischenko}, Lobachevskii J. Math. 41, No. 10, 1971--1991 (2020; Zbl 1458.94076) Full Text: DOI
Bath, Daniel Combinatorially determined zeroes of Bernstein-Sato ideals for tame and free arrangements. (English) Zbl 1457.14039 J. Singul. 20, 165-204 (2020). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14F10 32S40 32S05 32S22 32C38 PDFBibTeX XMLCite \textit{D. Bath}, J. Singul. 20, 165--204 (2020; Zbl 1457.14039) Full Text: DOI arXiv
Mustaţă, Mircea; Popa, Mihnea Hodge ideals. (English) Zbl 1442.14004 Memoirs of the American Mathematical Society 1268. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3781-7/pbk; 978-1-4704-5509-5/ebook). v, 80 p. (2019). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14-02 14F10 14F17 32C38 14D07 14J17 32S25 14F18 PDFBibTeX XMLCite \textit{M. Mustaţă} and \textit{M. Popa}, Hodge ideals. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1442.14004) Full Text: DOI arXiv
Dimca, Alexandru; Sticlaru, Gabriel Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves. (English) Zbl 1416.32014 J. Symb. Comput. 91, 98-115 (2019). MSC: 32S40 32S22 32S55 PDFBibTeX XMLCite \textit{A. Dimca} and \textit{G. Sticlaru}, J. Symb. Comput. 91, 98--115 (2019; Zbl 1416.32014) Full Text: DOI arXiv
Kable, Anthony C. The structure of the space of polynomial solutions to the canonical central systems of differential equations on the block Heisenberg groups: a generalization of a theorem of Korányi. (English) Zbl 1410.35268 Tohoku Math. J. (2) 70, No. 4, 523-545 (2018). MSC: 35R03 35C11 22E25 22E47 PDFBibTeX XMLCite \textit{A. C. Kable}, Tôhoku Math. J. (2) 70, No. 4, 523--545 (2018; Zbl 1410.35268) Full Text: DOI Euclid
Bitoun, Thomas; Schedler, Travis On \({\mathcal{D}}\)-modules related to the \(b\)-function and Hamiltonian flow. (English) Zbl 1439.14065 Compos. Math. 154, No. 11, 2426-2440 (2018). Reviewer: Teresa Monteiro Fernandes (Lisboa) MSC: 14F10 37J39 32S20 PDFBibTeX XMLCite \textit{T. Bitoun} and \textit{T. Schedler}, Compos. Math. 154, No. 11, 2426--2440 (2018; Zbl 1439.14065) Full Text: DOI arXiv
Oaku, Toshinori Localization, local cohomology, and the \(b\)-function of a \(D\)-module with respect to a polynomial. (English) Zbl 1411.14023 Hibi, Takayuki (ed.), The 50th anniversary of Gröbner bases. Proceedings of the 8th Mathematical Society of Japan-Seasonal Institute (MSJ-SI 2015), Osaka, Japan, July 1–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 77, 353-398 (2018). MSC: 14F10 13P10 13D45 14B15 52C35 PDFBibTeX XMLCite \textit{T. Oaku}, Adv. Stud. Pure Math. 77, 353--398 (2018; Zbl 1411.14023) Full Text: arXiv
Kogiso, Takeyoshi; Sato, Fumihiro Local functional equations attached to the polarizations of homaloidal polynomials. (English) Zbl 1458.11167 Kyushu J. Math. 72, No. 2, 307-331 (2018). MSC: 11S90 11S40 14E07 32C38 PDFBibTeX XMLCite \textit{T. Kogiso} and \textit{F. Sato}, Kyushu J. Math. 72, No. 2, 307--331 (2018; Zbl 1458.11167) Full Text: DOI
Hsiao, Jen-Chieh; Matusevich, Laura Felicia Bernstein – Sato polynomials on normal toric varieties. (English) Zbl 1402.14026 Mich. Math. J. 67, No. 1, 117-132 (2018). Reviewer: Mingyi Zhang (Chicago) MSC: 14F10 14M25 14F18 14B05 PDFBibTeX XMLCite \textit{J.-C. Hsiao} and \textit{L. F. Matusevich}, Mich. Math. J. 67, No. 1, 117--132 (2018; Zbl 1402.14026) Full Text: DOI arXiv Euclid
Bao, Chunmei The extension of a class of \(\lambda \)-logarithmic Bazilevic function and its Fekete-Szegö inequality. (Chinese. English summary) Zbl 1413.30004 Math. Pract. Theory 48, No. 8, 308-313 (2018). MSC: 30A10 30C45 PDFBibTeX XMLCite \textit{C. Bao}, Math. Pract. Theory 48, No. 8, 308--313 (2018; Zbl 1413.30004)
Guo, Dong; Li, Zongtao The Fekete-Szegö inequality for some subclass of analytic functions related to \({I_n}\) operator. (Chinese. English summary) Zbl 1399.26077 J. South China Norm. Univ., Nat. Sci. Ed. 49, No. 5, 96-99 (2017). MSC: 26D20 30C45 PDFBibTeX XMLCite \textit{D. Guo} and \textit{Z. Li}, J. South China Norm. Univ., Nat. Sci. Ed. 49, No. 5, 96--99 (2017; Zbl 1399.26077)
Laurent, Yves Regularity and \(b\)-functions for \(D\)-modules. (English) Zbl 1391.35019 RIMS Kôkyûroku Bessatsu B61, 109-122 (2017). MSC: 35A27 32C38 35B65 PDFBibTeX XMLCite \textit{Y. Laurent}, RIMS Kôkyûroku Bessatsu B61, 109--122 (2017; Zbl 1391.35019) Full Text: arXiv
Tu, Qiang; Chen, Wenyi Set-valued maps with graphs of finite area. (Chinese. English summary) Zbl 1374.28003 Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 6, 1017-1026 (2016). MSC: 28A75 49Q15 PDFBibTeX XMLCite \textit{Q. Tu} and \textit{W. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 6, 1017--1026 (2016; Zbl 1374.28003)
Guo, Dong; Li, Zongtao; Huang, Jinchao On the Fekete-Szegö problem for a class of analytic functions. (English) Zbl 1349.30050 Chin. Q. J. Math. 30, No. 3, 442-449 (2015). MSC: 30C45 PDFBibTeX XMLCite \textit{D. Guo} et al., Chin. Q. J. Math. 30, No. 3, 442--449 (2015; Zbl 1349.30050) Full Text: DOI
Walters, Robin The Bernstein-Sato \(b\)-function of the space of cyclic pairs. (English) Zbl 1408.14072 Publ. Res. Inst. Math. Sci. 51, No. 2, 273-288 (2015). MSC: 14F10 32S25 PDFBibTeX XMLCite \textit{R. Walters}, Publ. Res. Inst. Math. Sci. 51, No. 2, 273--288 (2015; Zbl 1408.14072) Full Text: DOI arXiv
Frühbis-Krüger, Anne Desingularization in computational applications and experiments. (English) Zbl 1325.14026 Ellwood, David (ed.) et al., The resolution of singular algebraic varieties. Proceedings of the Clay Mathematics Institute summer school, Obergurgl, Austria, June 3–30, 2012. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-8982-4/pbk). Clay Mathematics Proceedings 20, 269-284 (2014). MSC: 14E15 13P10 14-04 13-04 14Q99 13P25 PDFBibTeX XMLCite \textit{A. Frühbis-Krüger}, Clay Math. Proc. 20, 269--284 (2014; Zbl 1325.14026) Full Text: arXiv
Wachi, Akihito Logarithmic derivative and the Capelli identities. (English) Zbl 1393.17024 RIMS Kôkyûroku Bessatsu B36, 43-52 (2012). MSC: 17B35 11S90 16G20 PDFBibTeX XMLCite \textit{A. Wachi}, RIMS Kôkyûroku Bessatsu B36, 43--52 (2012; Zbl 1393.17024)
Sugiyama, Kazunari \(b\)-functions and the representation theory of quivers. (English) Zbl 1294.11209 RIMS Kôkyûroku Bessatsu B36, 1-16 (2012). Reviewer: Yumiko Hironaka (Tokyo) MSC: 11S90 20G05 PDFBibTeX XMLCite \textit{K. Sugiyama}, RIMS Kôkyûroku Bessatsu B36, 1--16 (2012; Zbl 1294.11209)
Beilinson, A.; Gaitsgory, D. A corollary of the b-function lemma. (English) Zbl 1252.32016 Sel. Math., New Ser. 18, No. 2, 319-327 (2012). Reviewer: Daniel Barlet (Nancy) MSC: 32C38 14F10 13N10 PDFBibTeX XMLCite \textit{A. Beilinson} and \textit{D. Gaitsgory}, Sel. Math., New Ser. 18, No. 2, 319--327 (2012; Zbl 1252.32016) Full Text: DOI arXiv
Dimca, Alexandru; Maisonobe, Philippe; Saito, Morihiko Spectrum and multiplier ideals of arbitrary subvarieties. (English. French summary) Zbl 1241.32025 Ann. Inst. Fourier 61, No. 4, 1633-1653 (2011). Reviewer: Jan Stevens (Göteborg) MSC: 32S40 32S35 PDFBibTeX XMLCite \textit{A. Dimca} et al., Ann. Inst. Fourier 61, No. 4, 1633--1653 (2011; Zbl 1241.32025) Full Text: DOI arXiv EuDML
Granger, Michel Bernstein-Sato polynomials and functional equations. (English) Zbl 1231.32007 Lê Dũng Tráng (ed.), Algebraic approach to differential equations. Based on the school in mathematics, Bibliotheca Alexandrina, Alexandria, Egypt, November 12 – 24, 2007. Hackensack, NJ: World Scientific; Trieste: ICTP - The Abdus Salam International Centre for Theoretical Physics (ISBN 978-981-4273-23-7/hbk). 225-291 (2010). MSC: 32C38 14F10 32S05 PDFBibTeX XMLCite \textit{M. Granger}, in: Algebraic approach to differential equations. Based on the school in mathematics, Bibliotheca Alexandrina, Alexandria, Egypt, November 12 -- 24, 2007. Hackensack, NJ: World Scientific; Trieste: ICTP - The Abdus Salam International Centre for Theoretical Physics. 225--291 (2010; Zbl 1231.32007)
Andres, Daniel; Brickenstein, Michael; Levandovskyy, Viktor; Martín-Morales, Jorge; Schönemann, Hans Constructive \(D\)-module theory with Singular. (English) Zbl 1217.13011 Math. Comput. Sci. 4, No. 2-3, 359-383 (2010). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13P10 14F10 68W30 32C38 PDFBibTeX XMLCite \textit{D. Andres} et al., Math. Comput. Sci. 4, No. 2--3, 359--383 (2010; Zbl 1217.13011) Full Text: DOI
Sağlam, Aziz; Yıldırım, Hüseyin; Sarıkaya, Mehmet Zeki A new type of Hardy-Hilbert’s integral inequalities. (English) Zbl 1208.26044 Selçuk J. Appl. Math. 11, No. 1, 143-151 (2010). MSC: 26D15 PDFBibTeX XMLCite \textit{A. Sağlam} et al., Selçuk J. Appl. Math. 11, No. 1, 143--151 (2010; Zbl 1208.26044)
Granger, Michel; Schulze, Mathias On the symmetry of \(b\)-functions of linear free divisors. (English) Zbl 1202.14046 Publ. Res. Inst. Math. Sci. 46, No. 3, 479-506 (2010). Reviewer: Alexandru Dimca (Nice) MSC: 14M17 20G05 17B66 14F40 PDFBibTeX XMLCite \textit{M. Granger} and \textit{M. Schulze}, Publ. Res. Inst. Math. Sci. 46, No. 3, 479--506 (2010; Zbl 1202.14046) Full Text: DOI arXiv
Yan, Tao A modified Broyden-like method for nonlinear complementarity problems. (English) Zbl 1187.90280 J. Appl. Math. Comput. 32, No. 1, 177-187 (2010). MSC: 90C30 90C33 PDFBibTeX XMLCite \textit{T. Yan}, J. Appl. Math. Comput. 32, No. 1, 177--187 (2010; Zbl 1187.90280) Full Text: DOI
Nishiyama, Kenta; Noro, Masayuki Stratification associated with local \(b\)-functions. (English) Zbl 1184.13079 J. Symb. Comput. 45, No. 4, 462-480 (2010). MSC: 13P10 14F10 16S32 32C38 13N99 PDFBibTeX XMLCite \textit{K. Nishiyama} and \textit{M. Noro}, J. Symb. Comput. 45, No. 4, 462--480 (2010; Zbl 1184.13079) Full Text: DOI
Nakayama, Hiromasa; Sekiguchi, Jiro Determination of \(b\)-functions of polynomials defining Saito free divisors related with simple curve singularities of types \(E_6,E_7,E_8\). (English) Zbl 1181.14006 Kumamoto J. Math. 22, 1-15 (2009). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14B05 58K60 PDFBibTeX XMLCite \textit{H. Nakayama} and \textit{J. Sekiguchi}, Kumamoto J. Math. 22, 1--15 (2009; Zbl 1181.14006)
Nakayama, Hiromasa Algorithm computing the local \(b\) function by an approximate division algorithm in \(\widehat{\mathcal D}\). (English) Zbl 1178.68684 J. Symb. Comput. 44, No. 5, 449-462 (2009). MSC: 68W25 32C38 PDFBibTeX XMLCite \textit{H. Nakayama}, J. Symb. Comput. 44, No. 5, 449--462 (2009; Zbl 1178.68684) Full Text: DOI arXiv
Hong, Yong On Hardy-Hilbert’s inequalities of multiple integral type. (Chinese. English summary) Zbl 1179.26072 J. Henan Univ., Nat. Sci. 38, No. 2, 119-123 (2008). MSC: 26D15 PDFBibTeX XMLCite \textit{Y. Hong}, J. Henan Univ., Nat. Sci. 38, No. 2, 119--123 (2008; Zbl 1179.26072)
Barbu, Dorel; Bocşan, Gheorghe Contractive properties of the semilinear Ito operator. (English) Zbl 1150.60397 An. Univ. Vest Timiș., Ser. Mat.-Inform. 44, No. 2, 3-9 (2006). MSC: 60H15 PDFBibTeX XMLCite \textit{D. Barbu} and \textit{G. Bocşan}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 44, No. 2, 3--9 (2006; Zbl 1150.60397)
Virchenko, Nina On the generalized confluent hypergeometric function and its application. (English) Zbl 1128.33006 Fract. Calc. Appl. Anal. 9, No. 2, 101-108 (2006). MSC: 33C20 26A33 PDFBibTeX XMLCite \textit{N. Virchenko}, Fract. Calc. Appl. Anal. 9, No. 2, 101--108 (2006; Zbl 1128.33006) Full Text: EuDML
Wakatsuki, Satoshi \(b\)-functions of regular 2-simple prehomogeneous vector spaces associated to the symplectic group and the orthogonal group. (English) Zbl 1081.11076 Comment. Math. Univ. St. Pauli 53, No. 2, 121-137 (2004). Reviewer: Yumiko Hironaka (Mannheim) MSC: 11S90 20G05 PDFBibTeX XMLCite \textit{S. Wakatsuki}, Comment. Math. Univ. St. Pauli 53, No. 2, 121--137 (2004; Zbl 1081.11076)
Zeng, Guoping Two common properties of the Erlang-B function, Erlang-C function, and Engset blocking function. (English) Zbl 1052.60075 Math. Comput. Modelling 37, No. 12-13, 1287-1296 (2003). Reviewer: Laszlo Lakatos (Budapest) MSC: 60K25 PDFBibTeX XMLCite \textit{G. Zeng}, Math. Comput. Modelling 37, No. 12--13, 1287--1296 (2003; Zbl 1052.60075) Full Text: DOI
Guliev, Vagif S. Some aspects of B-harmonic analysis. (English) Zbl 1041.42016 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 1223-1240 (2000). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 42B25 47G10 46E35 PDFBibTeX XMLCite \textit{V. S. Guliev}, Int. Soc. Anal. Appl. Comput. 8, 1223--1240 (2000; Zbl 1041.42016)
Smeets, Marcus J. E. Parameter shift in GKZ-hypergeometric systems. (English) Zbl 0970.33010 Eindhoven: Eindhoven Univ. of Technology. viii, 113 p. (2000). Reviewer: T.Sasaki (Kobe) MSC: 33C70 90C10 PDFBibTeX XMLCite \textit{M. J. E. Smeets}, Parameter shift in GKZ-hypergeometric systems. Eindhoven: Eindhoven Univ. of Technology (2000; Zbl 0970.33010)
Sá Esteves, Jorge; Craveirinha, José; Cardoso, Domingos M. The overflow traffic from the Erlang-B system – What convexity properties? (English) Zbl 1001.90010 João Júdice, Joaquim (ed.) et al., Proceedings of the 1st seminar on mathematics and telecommunications. Coimbra, Portugal, September 28-29, 1998. Coimbra: Instituto de Telecomunicações, 6-11 (1999). MSC: 90B18 PDFBibTeX XMLCite \textit{J. Sá Esteves} et al., in: Actas do 1. seminário em matemática em telecomunicações. Coimbra: Instituto de Telecomunicações. 6--11 (1999; Zbl 1001.90010)
Sato, Fumihiro \(b\)-functions of prehomogeneous vector spaces attached to flag manifolds of the general linear group. (English) Zbl 1020.11076 Comment. Math. Univ. St. Pauli 48, No. 2, 129-136 (1999). Reviewer: F.Castro-Jiménez (Sevilla) MSC: 11S90 11E76 11E45 14M15 20G20 PDFBibTeX XMLCite \textit{F. Sato}, Comment. Math. Univ. St. Pauli 48, No. 2, 129--136 (1999; Zbl 1020.11076)
Araujo, Jose; Bratten, Tim The Bernstein polynomial in one variable. (English) Zbl 0934.32011 Commun. Algebra 26, No. 12, 4159-4170 (1998). Reviewer: S.Dimiev (Sofia) MSC: 32C38 16S32 13N10 35A27 PDFBibTeX XMLCite \textit{J. Araujo} and \textit{T. Bratten}, Commun. Algebra 26, No. 12, 4159--4170 (1998; Zbl 0934.32011) Full Text: DOI
Oaku, Toshinori Algorithms for \(b\)-functions, restrictions, and algebraic local cohomology groups of \(D\)-modules. (English) Zbl 0929.32009 RIMS Kokyuroku 983, 86-105 (1997). Reviewer: W.Soergel (Freiburg i.Br.) MSC: 32C38 14F10 58J15 PDFBibTeX XMLCite \textit{T. Oaku}, RIMS Kokyuroku 983, 86--105 (1997; Zbl 0929.32009)
Oaku, Toshinori Algorithms for \(b\)-functions, restrictions, and algebraic local cohomology groups of \(D\)-modules. (English) Zbl 0938.32005 Adv. Appl. Math. 19, No. 1, 61-105 (1997). MSC: 32C38 14F10 PDFBibTeX XMLCite \textit{T. Oaku}, Adv. Appl. Math. 19, No. 1, 61--105 (1997; Zbl 0938.32005) Full Text: DOI
Oaku, Toshinori Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial. (English) Zbl 0918.32006 J. Pure Appl. Algebra 117-118, 495-518 (1997). Reviewer: F.Castro-Jiménez (Sevilla) MSC: 32C38 13P10 14F10 16S32 PDFBibTeX XMLCite \textit{T. Oaku}, J. Pure Appl. Algebra 117--118, 495--518 (1997; Zbl 0918.32006) Full Text: DOI
Oaku, Toshinori An algorithm of computing \(b\)-functions. (English) Zbl 0893.32009 Duke Math. J. 87, No. 1, 115-132 (1997). Reviewer: Y.Kobayashi (Funabashi) MSC: 32C38 13N10 16S32 35A27 PDFBibTeX XMLCite \textit{T. Oaku}, Duke Math. J. 87, No. 1, 115--132 (1997; Zbl 0893.32009) Full Text: DOI
Oaku, Toshinori Some algorithmic aspects of the \(D\)-module theory. (English) Zbl 0872.32008 Bony, J.-M. (ed.) et al., New trends in microlocal analysis. Tokyo: Springer. 205-223 (1997). Reviewer: W.Soergel (Freiburg i.Br.) MSC: 32C38 PDFBibTeX XMLCite \textit{T. Oaku}, in: New trends in microlocal analysis. Tokyo: Springer. 205--223 (1997; Zbl 0872.32008)
Oaku, Toshinori Algorithms for \(b\)-functions, induced systems, and algebraic local cohomology of \(D\)-modules. (English) Zbl 0893.32010 Proc. Japan Acad., Ser. A 72, No. 8, 173-178 (1996). Reviewer: L.Narváez-Macarro (Sevilla) MSC: 32C38 16S32 14F10 13P10 35A27 PDFBibTeX XMLCite \textit{T. Oaku}, Proc. Japan Acad., Ser. A 72, No. 8, 173--178 (1996; Zbl 0893.32010) Full Text: DOI
Oaku, Toshinori An algorithm of computing \(b\)-functions. (English) Zbl 0938.32004 RIMS Kokyuroku 941, 52-56 (1996). MSC: 32C38 13P10 68W30 PDFBibTeX XMLCite \textit{T. Oaku}, RIMS Kokyuroku 941, 52--56 (1996; Zbl 0938.32004)
Mejlbro, Leif Two limits. (Danish. English summary) Zbl 0863.05004 Normat 43, No. 2, 55-58 (1995). MSC: 05A10 PDFBibTeX XMLCite \textit{L. Mejlbro}, Normat 43, No. 2, 55--58 (1995; Zbl 0863.05004)
Esteves, Jorge Sá; Craveirinha, José; Cardoso, Domingos Computing Erlang-B function derivatives in the number of servers: A generalized recursion. (English) Zbl 0834.60097 Commun. Stat., Stochastic Models 11, No. 2, 311-331 (1995). Reviewer: H.Schellhaas (Darmstadt) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. S. Esteves} et al., Commun. Stat., Stochastic Models 11, No. 2, 311--331 (1995; Zbl 0834.60097) Full Text: DOI
Saito, Morihiko On microlocal \(b\)-function. (English) Zbl 0810.32004 Bull. Soc. Math. Fr. 122, No. 2, 163-184 (1994). Reviewer: M.Muro (Yanagido) MSC: 32B05 32C38 14F10 32B10 PDFBibTeX XMLCite \textit{M. Saito}, Bull. Soc. Math. Fr. 122, No. 2, 163--184 (1994; Zbl 0810.32004) Full Text: DOI Numdam EuDML
Granger, Michel; Maisonobe, Philippe A basic course on differential modules. (English) Zbl 0853.32011 Maisonobe, Philippe (ed.) et al., \(D\)-modules cohérents et holonomes. Cours d’été du CIMPA ’Éléments de la théorie des systèmes différentiels’, août et septembre 1990, Nice, France. Paris: Hermann. Trav. Cours. 45, 103-168 (1993). Reviewer: F.Castro-Jiménez (Sevilla) MSC: 32C38 PDFBibTeX XMLCite \textit{M. Granger} and \textit{P. Maisonobe}, in: \(D\)-modules cohérents et holonomes. Cours d'été du CIMPA 'Éléments de la théorie des systèmes différentiels', août et septembre 1990, Nice, France. Paris: Hermann. 103--168 (1993; Zbl 0853.32011)
Vladimirov, V. S. Derivation of Freund-Witten adelic formula for four-point Veneziano amplitudes. (English. Russian original) Zbl 0916.11062 Theor. Math. Phys. 94, No. 3, 251-259 (1993); translation from Teor. Mat. Fiz. 94, No. 3, 355-367 (1993). Reviewer: O.Ninnemann (Berlin) MSC: 11S80 81T30 11R56 PDFBibTeX XMLCite \textit{V. S. Vladimirov}, Theor. Math. Phys. 94, No. 3, 1 (1993; Zbl 0916.11062); translation from Teor. Mat. Fiz. 94, No. 3, 355--367 (1993) Full Text: DOI
Gyoja, Akihiko Local \(b\)-functions of prehomogeneous Lagrangians. (English) Zbl 0889.14023 J. Math. Kyoto Univ. 33, No. 2, 413-436 (1993). Reviewer: M.Muro (Yanagido) MSC: 14M17 58J40 32A45 PDFBibTeX XMLCite \textit{A. Gyoja}, J. Math. Kyoto Univ. 33, No. 2, 413--436 (1993; Zbl 0889.14023) Full Text: DOI
Gyoja, Akihiko Bernstein-Sato’s polynomial for several analytic functions. (English) Zbl 0797.32007 J. Math. Kyoto Univ. 33, No. 2, 399-411 (1993). Reviewer: M.Muro (Yanagido) MSC: 32C38 33C80 PDFBibTeX XMLCite \textit{A. Gyoja}, J. Math. Kyoto Univ. 33, No. 2, 399--411 (1993; Zbl 0797.32007) Full Text: DOI
Björk, Jan-Erik Analytic \(D\)-modules and applications. (English) Zbl 0805.32001 Mathematics and its Applications (Dordrecht). 247. Dordrecht: Kluwer Academic Publishers. xiii, 581 p. (1993). Reviewer: F.Castro-Jiménez (Sevilla) MSC: 32-02 32C38 58J15 35A27 14F10 16S32 32S40 PDFBibTeX XMLCite \textit{J.-E. Björk}, Analytic \(D\)-modules and applications. Dordrecht: Kluwer Academic Publishers (1993; Zbl 0805.32001)
Zhu, Xiao-Wei The classification of spinors under \(GSpin_{14}\) over finite fields. (English) Zbl 0798.22007 Trans. Am. Math. Soc. 333, No. 1, 95-114 (1992). Reviewer: M.Muro (Yanagido) MSC: 22E50 11S40 14M17 14G10 20G40 22E35 43A85 33C80 PDFBibTeX XMLCite \textit{X.-W. Zhu}, Trans. Am. Math. Soc. 333, No. 1, 95--114 (1992; Zbl 0798.22007) Full Text: DOI
Saito, Mutsumi Parameter shift in normal generalized hypergeometric systems. (English) Zbl 0768.33016 Tôhoku Math. J., II. Ser. 44, No. 4, 523-534 (1992). MSC: 33C70 14M25 16W50 39B32 PDFBibTeX XMLCite \textit{M. Saito}, Tôhoku Math. J. (2) 44, No. 4, 523--534 (1992; Zbl 0768.33016) Full Text: DOI
Denef, Jan Report on Igusa’s local zeta function. (French) Zbl 0749.11054 Séminaire Bourbaki, Vol. 1990/91, Exp. No. 730-744, Astérisque 201-203, 359-386 (1991). Reviewer: M.Muro (Yanagido) MSC: 11S40 11-02 14G10 32S40 14M17 14G20 PDFBibTeX XMLCite \textit{J. Denef}, Astérisque 201--203, 359--386 (1991; Zbl 0749.11054) Full Text: Numdam EuDML
Lichtin, Ben On the moderate growth of generalized Dirichlet series for hypoelliptic polynomials. (English) Zbl 0759.11027 Compos. Math. 80, No. 3, 337-354 (1991). Reviewer: J.H.Loxton (North Ryde) MSC: 11M41 11N45 32S40 PDFBibTeX XMLCite \textit{B. Lichtin}, Compos. Math. 80, No. 3, 337--354 (1991; Zbl 0759.11027) Full Text: Numdam EuDML
Kimura, Tatsuo; Sato, Fumihiro; Zhu, Xiao-Wei On the poles of \(p\)-adic complex powers and the \(b\)-functions of prehomogeneous vector spaces. (English) Zbl 0712.11071 Am. J. Math. 112, No. 3, 423-437 (1990). Reviewer: Masakazu Muro (Gifu) MSC: 11S90 14J70 14M17 PDFBibTeX XMLCite \textit{T. Kimura} et al., Am. J. Math. 112, No. 3, 423--437 (1990; Zbl 0712.11071) Full Text: DOI
Lichtin, B. Poles of \(| f(z,w)| ^{2s}\) and roots of the b-function. (English) Zbl 0719.32016 Ark. Mat. 27, No. 2, 283-304 (1989). MSC: 32S05 32B10 32C38 PDFBibTeX XMLCite \textit{B. Lichtin}, Ark. Mat. 27, No. 2, 283--304 (1989; Zbl 0719.32016) Full Text: DOI
Lichtin, Ben Poles of Dirichlet series and D-modules. (English) Zbl 0699.10060 Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 579-594 (1989). Reviewer: M.Muro MSC: 11M35 11R42 PDFBibTeX XML
Malgrange, Bernard Extension of holonomic \(\mathcal D\)-modules. (English) Zbl 0672.32006 Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 1, 403-411 (1989). Reviewer: L.Nachbin MSC: 32C38 14F10 32A10 32A20 33E99 PDFBibTeX XML
Saito, Morihiko On the structure of Brieskorn lattice. (English) Zbl 0644.32005 Ann. Inst. Fourier 39, No. 1, 27-72 (1989). Reviewer: M.Saito MSC: 32Sxx 14C30 PDFBibTeX XMLCite \textit{M. Saito}, Ann. Inst. Fourier 39, No. 1, 27--72 (1989; Zbl 0644.32005) Full Text: DOI Numdam EuDML
Jgusa, Jun-ichi On a certain class of prehomogeneous vector spaces. (English) Zbl 0633.14030 J. Pure Appl. Algebra 47, 265-282 (1987). Reviewer: M.Muro MSC: 14M17 20G15 14L30 PDFBibTeX XMLCite \textit{J.-i. Jgusa}, J. Pure Appl. Algebra 47, 265--282 (1987; Zbl 0633.14030) Full Text: DOI
Igusa, Jun-ichi On functional equations of complex powers. (English) Zbl 0599.12017 Invent. Math. 85, 1-29 (1986). Reviewer: S.Raghavan MSC: 11S40 39B52 14L30 22E50 46F12 46F05 14M17 PDFBibTeX XMLCite \textit{J.-i. Igusa}, Invent. Math. 85, 1--29 (1986; Zbl 0599.12017) Full Text: DOI EuDML
Kashiwara, M. Introduction to microlocal analysis. (English) Zbl 0592.58051 Monographie No. 32 de L’Enseignement Mathématique. Genève: L’Enseignement Mathématique. Université de Genève. 37 p. (1986). Reviewer: G.Gussi MSC: 58J47 58J40 35S99 58-02 PDFBibTeX XML
Kashiwara, Masaki The universal Verma module and the b-function. (English) Zbl 0574.17005 Algebraic groups and related topics, Proc. Symp., Kyoto and Nagoya/Jap. 1983, Adv. Stud. Pure Math. 6, 67-81 (1985). Reviewer: M.Muro MSC: 17B10 17B45 22E46 22E10 PDFBibTeX XML
Lichtin, Ben A connection between polar invariants and roots of the Bernstein-Sato polynomial. (English) Zbl 0557.14001 Singularities, Summer Inst., Arcata/Calif. 1981, Proc. Symp. Pure Math. 40, Part 2, 145-154 (1983). Reviewer: M.Oka MSC: 14B05 32S05 PDFBibTeX XML
Malgrange, Bernard Polynômes de Bernstein-Sato et cohomologie evanescente. (French) Zbl 0528.32007 Astérisque 101-102, 243-267 (1983). MSC: 32A45 58J10 14F40 32L10 32C35 14F10 32K15 PDFBibTeX XMLCite \textit{B. Malgrange}, Astérisque 101--102, 243--267 (1983; Zbl 0528.32007)
Kato, Mitsuo The b-function of mu-constant deformation of \(x^9+y^4\). (English) Zbl 0505.32011 Bull. Coll. Sci., Univ. Ryukyus 33, 5-8 (1982). MSC: 32Sxx 32S60 58C25 58K99 57N80 58J15 PDFBibTeX XMLCite \textit{M. Kato}, Bull. Coll. Sci., Univ. Ryukyus 33, 5--8 (1982; Zbl 0505.32011)
Kimura, Tatsuo The b-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces. (English) Zbl 0451.58035 Nagoya Math. J. 85, 1-80 (1982). MSC: 58J15 32A45 46G20 PDFBibTeX XMLCite \textit{T. Kimura}, Nagoya Math. J. 85, 1--80 (1982; Zbl 0451.58035) Full Text: DOI
Kato, Mitsuo The b function of a mu-constant deformation of \(x^7+y^5\). (English) Zbl 0496.32016 Bull. Coll. Sci., Univ. Ryukyus 32, 5-10 (1981). MSC: 32S30 32S60 14B07 14D15 46F99 PDFBibTeX XMLCite \textit{M. Kato}, Bull. Coll. Sci., Univ. Ryukyus 32, 5--10 (1981; Zbl 0496.32016)
Kimura, Tatsuo; Muro, Masakazu On some series of regular irreducible prehomogeneous vector spaces. (English) Zbl 0465.14020 Proc. Japan Acad., Ser. A 55, 384-389 (1979). MSC: 14M17 32M10 PDFBibTeX XMLCite \textit{T. Kimura} and \textit{M. Muro}, Proc. Japan Acad., Ser. A 55, 384--389 (1979; Zbl 0465.14020) Full Text: DOI
Yano, Tamaki On the invariance of \(L(f)\) of the holomorphic function \(f(x)\) and the properties of the singular points of \(f^{-1}(0)\). (Japanese) Zbl 0441.32003 Research on microlocal analysis, Proc. Symp. RIMS, Kyoto 1977, 38-45 (1977). MSC: 32A45 32S05 PDFBibTeX XML