Masao Ishikawa

Recent Publications

• Masao Ishikawa, Masahiko Ito and Soichi Okada, "A compound determinant of Cauchy-Sylvester type", preprint (April 24, 2008 version).

• Takahiro Hayata and Masao Ishikawa "An elementary proof of a binomial-coefficient identity arising from the middle discrete series of SU(2,2)", preprint (April 24, 2008 version), arXiv:0804.3841.

• Masao Ishikawa, "On Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions II", math.CO/0606082.

• Masao Ishikawa, Anisse Kasraoui and Jiang Zeng , "Statistics on Ordered Partitions of Sets and q-Stirling Numbers", math.CO/0605390, SIAM J. Discrete Math. 22 (2008), pp. 1105 - 1137. a detailed version.

• Masao Ishikawa, "On Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions I", math.CO/0602068.

• Masao Ishikawa and Jiang Zeng, "The Andrews-Stanley Partition Function and Al-Salam-Chihara Polynomials", math.CO/0506128, Descrete Math. 309 (2009), pp. 151 - 175.

• Masao Ishikawa, "Minor summation formula and a proof of Stanley's open problem", math.CO/0408204, Ramanujan J. 16 (2008), pp. 211 - 234.

• Masao Ishikawa, Hiroyuki Tagawa, Soichi Okada and Jiang Zeng, "Generalizations of Cuachy's determinant and Schur's Pfaffian", math.CO/0411280, Adv. in Appl. Math. 36, (2006) 251 - 287.

• M. Ishikawa, F. Jouhet and J. Zeng, "A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications", math.CO/0401252, J. Algebraic Combin. 23, (2006) 395 - 412.

• Masao Ishikawa and Masato Wakayama, "Applications of Minor Summation Formula III, Plucker Relations, Lattice Paths and Pfaffian Identities", math.CO/0312358, J. Combin. Theory Ser. A. 113, (2006) 113-155.

• Masao Ishikawa, Hiroyuki Kawamuko and Soichi Okada, "A Pfaffian-Hafnian analogue of Borchardt's identity", math.CO/0408364, Electron. J. Combin. 12(1), (2005) #N9.

• Manabu, Hagiwara, Masao Ishikawa and Hiroyuki Tagawa, "A Characterization of the Simply-Laced FC-Finite Coxeter Groups", Ann. Comb. 8, (2004) 177-196.

• Masao Ishikawa and Hiroyuki Tagawa, "Determinants and Pfaffians associated with d-complete posets", Topics in Young diagrams and representation theory, Surikaisekikenkyusho 1262, (2002) 101-136 (in Japanese).

• Masao Ishikawa and Masato Wakayama, "Minor Summation Formulas of Pfaffians, Survey and A New Identity", Adv. Stud. Pure Math. 28, (2000) 133-142.

• Masao Ishikawa and Masato Wakayama, "Application of Minor-Summation Formula II. Pfaffians and Schur Polynimials'' , J. Combin. Theory Ser. A 88, (1999), 136-157.

• Masao Ishikawa and Masato Wakayama, "New Scur Function Series", J. Algebra 208 (1998), 480-525.

• Masao Ishikawa, Soichi Okada and Masato Wakayama, "Application of Minor-Summation Formula I. Littlewood's Formulas" , J. Algebra 183 (1996), 193-216.

• Masao Ishikawa and Masato Wakayama, "Minor Summation Formula of Pfaffians", Linear and Multilinear Algebra 39, (1995), 285-296.

• Masao Ishikawa and Masato Wakayama, "Minor Summation of Pfaffians and Scur Function Identities", Proc. Japan Acad. Ser. A Math. Sci. 71 (1995), 54-57 A3.

Recent Conference Proceedings

• Masao Ishikawa, "Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions and Lattice Path Combinatorics", 6TH INTERNATIONAL CONFERENCE ON LATTICE PATH COMBINATORICS AND APPLICATIONS ETSU, Johnson City, TN, United States July 12 - 14, 2007.

• Masao Ishikawa, "Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions and Constant Term Identities", The 19th International Conference on Formal Power Series and Algebraic Combinatorics Nankai University, Tianjin, China July 2 - 6, 2007.

• Masao Ishikawa and Hiroyuki Tagawa, "Schur Function Identities and Hook Length Posets", The 19th International Conference on Formal Power Series and Algebraic Combinatorics Nankai University, Tianjin, China July 2 - 6, 2007.

• Masao Ishikawa, "The Andrews-Stanley Partition Function and Al-Salam-Chihara Polynomials", 18th International Conference on Formal Power Series & Algebraic Combinatorics. San Diego, California, USA; June 19 - 23, 2006

• Masao Ishikawa, Hiroyuki Tagawa, Soichi Okada and Jiang Zeng, "Generalizations of Cuachy's determinant and Schur's Pfaffian", 17th Annual Conference on Formal Power Series and Algebraic Combinatorics. Taormina, Sicily, Italy; 20--25 June 2005

• Masao Ishikawa, "A proof of Stanley's open problem", 17th Annual Conference on Formal Power Series and Algebraic Combinatorics. Taormina, Sicily, Italy; 20--25 June 2005

• Manabu, Hagiwara, Masao Ishikawa and Hiroyuki Tagawa, "A characterization of the simply-Laced FC-finite Coxeter groups", 16-th International Conference on Formal Power Series and Algebraic Combinatorics, University of British Columbia, (Vancouver, Canada) June 28 - July 2, 2004.

• Masao Ishikawa, "Minor summation formula of Pfaffians and Schur function identities", 7-th International Conference on Formal Power Series and Algebraic Combinatorics, extended abstract (1995), 379-386.

Recent Talks

• Masao Ishikawa Enumeration problems of plane partitions and determinant generating functions, Expansion of Combinatorial Representation Theory, Octorber 7 -- 10, 2008, RIMS, Kyoto University, Kyoto Japan.

• Masao Ishikawa Enumeration problems of plane partitions and Pfaffian (determinant) expressions, Combinatorics and Representation Theory, (The 8th International Conference by the Graduate School of Mathematics, Nagoya University) September 1 - 5, 2008, Graduate School of Mathematics, Nagoya University, Nagoya, Japan.

• Masao Ishikawa Littlewood�fs (Cauchy�fs) formulae of Schur functions and constant term expressions for the refined enumeration problems of TSSCPPs, Combinatorics and Statistical Physics, May 16 - 30, 2008, ESI, Vienna, Austria.

• Masao Ishikawa An Identity for Compound Determinant and its Application, Korea Advanced Institute of Science and Technology, Februay 22, 2008.

• Masao Ishikawa Hankel determinants of Catalan, Motzkin and Schroder numbers and its q-analogues, Expansion of Combinatorial Representation Theory, RIMS, Kyoto University, Kyoto, Japan, October 23 - 26, 2007.

• Masao Ishikawa Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions and Lattice Path Combinatorics, 6th International Conference on Lattice Path Combinatorics and Applications East Tennessee State University, Johnson City, TN, United States, July 13, 2007.

• Masao Ishikawa Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions and Constant Term Identities, The 19th International Conference on Formal Power Series and Algebraic Combinatorics (Contributed Papers) Nankai University, Tianjin, China, July 2, 2007.

• Masao Ishikawa and Hiroyuki Tagawa Schur Function Identities and Hook Length Posets, The 19th International Conference on Formal Power Series and Algebraic Combinatorics (Contributed Posters) Nankai University, Tianjin, China, July 2 - 6, 2007.

• Masao Ishikawa, Anisse Kasraoui and Jiang Zeng , "Euler-Mahonian Statistics of Ordered Partitions", Combinatorial Representation Theory and Related Topics, October 24 - 27, 2006, RIMS, University of Kyoto, organized by Takeshi Suzuki and Toshiyuki Tanisaki.

• Masao Ishikawa and Jiang Zeng The Andrews-Stanley partition function and Al-Salam-Chihara polynomials, 18th International Conference on Formal Power Series & Algebraic Combinatorics (Contributed Posters) June 19-23, 2006, San Diego, California, Catamaran Resort Hotel, Pacific Beach, USA

• "Minor summation formula of Pfaffians and Mills-Robbins-Rumsey conjectures on totally symmetric self-complementary plane partitions", Department of Mathematics, Ryukyu University February 16, 2006

• The refinements of TSSCPP enumeration, Workshop of Combinatorics on q-Series and Partitions (January 5-6, 2006, Institute of Camille Jordan, University of Lyon I)

• Several refined conjectures on TSSCPP and ASM, The World of Combinatorial Representation Theory (November 8-11, 2005, RIMS, Kyoto University)

• Andrews-Stanley partition function and the orthogonal polynomials, KISS2005 (Kasai Integrable Systems Seminar) Octorber 21, 2005, 15:00 - 16:30, Nakmura Laboratory, Kyoto University

• Minor summation formula of Pfaffains and its applications, July 3-4, 2005, Department of Mathematics, Okayama University

• A Proof of Stanley's Open Problem, 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics (June 20 - 25, 2005 - Taormina, Sicily - Italy)

• Minor summation formula and a proof of Stanley's open problem, Combinatoire et Theorie des Nombres (March 25, 2005, Institute of Camille Jordan, University of Lyon I)

• On Refined TSSCPP Conjectures, December 10, 2004, Department of Mathematics, Osaka University

• An open problem of R. P. Stanley on a sum of Schur functions, Conference on Partially Ordered Sets and Algorithms August 23-25, 2004, Tokai University, Takanawa Campus

Links

• Search me in Arxiv.

• Google me.

• My home page in Tottori University

• Combinatoire et Theorie des Nombres, Institut Camille Jordan, Universite Claude Bernard Lyon 1

• Okamoto Lab