Chestnov, Vsevolod; Gasparotto, Federico; Mandal, Manoj K.; Mastrolia, Pierpaolo; Matsubara-Heo, Saiei J.; Munch, Henrik J.; Takayama, Nobuki Macaulay matrix for Feynman integrals: linear relations and intersection numbers. (English) Zbl 07647551 J. High Energy Phys. 2022, No. 9, Paper No. 187, 57 p. (2022). MSC: 81-XX PDF BibTeX XML Cite \textit{V. Chestnov} et al., J. High Energy Phys. 2022, No. 9, Paper No. 187, 57 p. (2022; Zbl 07647551) Full Text: DOI arXiv OpenURL
Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki Algorithms for Pfaffian systems and cohomology intersection numbers of hypergeometric integrals. (English) Zbl 07600879 Bigatti, Anna Maria (ed.) et al., Mathematical software – ICMS 2020. 7th international conference, Braunschweig, Germany, July 13–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12097, 73-84 (2020). MSC: 33C70 13P10 14F10 68W30 PDF BibTeX XML Cite \textit{S.-J. Matsubara-Heo} and \textit{N. Takayama}, Lect. Notes Comput. Sci. 12097, 73--84 (2020; Zbl 07600879) Full Text: DOI OpenURL
Nishiyama, Kenta Incomplete hypergeometric systems associated to 1-simplex \(\times\) \((n-1)\)-simplex. (English) Zbl 1454.33007 Rocky Mt. J. Math. 49, No. 3, 913-928 (2019). Reviewer: D. L. Suthar (Dessie) MSC: 33C20 PDF BibTeX XML Cite \textit{K. Nishiyama}, Rocky Mt. J. Math. 49, No. 3, 913--928 (2019; Zbl 1454.33007) Full Text: DOI arXiv Euclid OpenURL
Takayama, Nobuki; Kuriki, Satoshi; Takemura, Akimichi \(A\)-hypergeometric distributions and Newton polytopes. (English) Zbl 1391.33030 Adv. Appl. Math. 99, 109-133 (2018). MSC: 33C70 62H12 62H17 PDF BibTeX XML Cite \textit{N. Takayama} et al., Adv. Appl. Math. 99, 109--133 (2018; Zbl 1391.33030) Full Text: DOI arXiv OpenURL
Vidunas, Raimundas Counting derangements and Nash equilibria. (English) Zbl 1411.91022 Ann. Comb. 21, No. 1, 131-152 (2017). MSC: 91A06 05A15 33C20 PDF BibTeX XML Cite \textit{R. Vidunas}, Ann. Comb. 21, No. 1, 131--152 (2017; Zbl 1411.91022) Full Text: DOI arXiv OpenURL
Nakayama, Hiromasa; Takayama, Nobuki Computing differential equations for integrals associated to smooth Fano polytope. (English) Zbl 1314.13046 Japan J. Ind. Appl. Math. 30, No. 2, 307-319 (2013). Reviewer: Christoph Koutschan (Linz) MSC: 13P10 14Q99 33F10 68W30 47L20 PDF BibTeX XML Cite \textit{H. Nakayama} and \textit{N. Takayama}, Japan J. Ind. Appl. Math. 30, No. 2, 307--319 (2013; Zbl 1314.13046) Full Text: DOI arXiv OpenURL
Ohara, Katsuyoshi; Takayama, Nobuki Holonomic rank of \(\mathcal A\)-hypergeometric differential-difference equations. (English) Zbl 1257.33004 J. Pure Appl. Algebra 213, No. 8, 1536-1544 (2009). MSC: 33C10 33C70 16S32 33F10 39A99 PDF BibTeX XML Cite \textit{K. Ohara} and \textit{N. Takayama}, J. Pure Appl. Algebra 213, No. 8, 1536--1544 (2009; Zbl 1257.33004) Full Text: DOI arXiv OpenURL
Cattani, Eduardo; Dickenstein, Alicia Planar configurations of lattice vectors and GKZ-rational toric fourfolds in \(\mathbb P^6\). (English) Zbl 1054.33009 J. Algebr. Comb. 19, No. 1, 47-65 (2004). Reviewer: Angela Pasquale (Metz) MSC: 33C70 05B35 32A27 PDF BibTeX XML Cite \textit{E. Cattani} and \textit{A. Dickenstein}, J. Algebr. Comb. 19, No. 1, 47--65 (2004; Zbl 1054.33009) Full Text: DOI arXiv OpenURL
Cattani, Eduardo; D’Andrea, Carlos; Dickenstein, Alicia The \({\mathcal A}\)-hypergeometric system associated with a monomial curve. (English) Zbl 0952.33009 Duke Math. J. 99, No. 2, 179-207 (1999). Reviewer: A.Pasquale (Clausthal-Zellerfeld) MSC: 33C70 14D99 32G99 33D15 PDF BibTeX XML Cite \textit{E. Cattani} et al., Duke Math. J. 99, No. 2, 179--207 (1999; Zbl 0952.33009) Full Text: DOI arXiv OpenURL