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1

A, Giambruno, Regev Amitai, and Zaicev Mikhail, eds. Polynomial identities and combinatorial methods. Marcel Dekker, 2003.

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2

1939-, Berndt Bruce C., ed. Ramanujan's forty identities for the Rogers-Ramanujan functions. American Mathematical Society, 2007.

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3

Meurman, Arne. Annihilating fields of standard modules of Sl(2, C) ãnd combinatorial identities. American Mathematical Society, 1999.

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4

1931-, Wilf Herbert S., and Zeilberger Doron, eds. A=B. A K Peters, 1996.

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5

Farkas, Hershel M. Theta constants, Riemann surfaces, and the modular group: An introduction with applications to uniformization theorems, partition identities, and combinatorial number theory. American Mathematical Society, 2001.

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6

Alladi, Krishnaswami, Frank Garvan, and Ae Ja Yee. Ramanujan 125: International conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5--7, 2012, University of Florida, Gainesville, Florida. American Mathematical Society, 2014.

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7

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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8

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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9

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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10

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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11

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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12

Tanasa, Adrian. Combinatorial Physics. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192895493.001.0001.

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After briefly presenting (for the physicist) some notions frequently used in combinatorics (such as graphs or combinatorial maps) and after briefly presenting (for the combinatorialist) the main concepts of quantum field theory (QFT), the book shows how algebraic combinatorics can be used to deal with perturbative renormalisation (both in commutative and non-commutative quantum field theory), how analytic combinatorics can be used for QFT issues (again, for both commutative and non-commutative QFT), how Grassmann integrals (frequently used in QFT) can be used to proCve new combinatorial identi
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13

Gould, Henry W., and Jocelyn Quaintance. Combinatorial Identities for Stirling Numbers: The Unpublished Notes of H W Gould. World Scientific Publishing Co Pte Ltd, 2015.

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14

Combinatorial Identities for Stirling Numbers: The Unpublished Notes of H.W. Gould. World Scientific Publishing Co Pte Ltd, 2016.

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15

Computational Aspects of Polynomial Identities. CRC Press LLC, 2005.

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16

Computational Aspects of Polynomial Identities. CRC Press LLC, 2005.

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17

Kanel-Belov, Alexei, Louis Halle Rowen, and Yakov Karasik. Computational Aspects of Polynomial Identities. Taylor & Francis Group, 2019.

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18

Computational Aspects of Polynomial Identities. CRC Press LLC, 2005.

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19

Gould, H. W. Combinatorial Identities for Stirling Numbers: The Unpublished Notes of H W Gould. World Scientific Publishing Co Pte Ltd, 2015.

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20

Zhou, Xing. Practice by Subject : Binomial Expansion and Combinatorial Identities: Math for Gifted Students. Independently Published, 2019.

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21

Combinatorial Identities for Stirling Numbers: The Unpublished Notes of H W Gould. World Scientific Publishing Co Pte Ltd, 2015.

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22

Dohmen, Klaus. Improved Bonferroni Inequalities Via Abstract Tubes: Inequalities and Identities of Inclusion-Exclusion Type. Springer London, Limited, 2003.

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23

Computational Aspects of Polynomial Identities (Research Notes in Mathematics). AK Peters, 2005.

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24

Kanel-Belov, Alexei, Louis Halle Rowen, and Yakov Karasik. Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition. Taylor & Francis Group, 2015.

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25

Kanel-Belov, Alexei, Louis Halle Rowen, and Yakov Karasik. Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition. Taylor & Francis Group, 2015.

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26

Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition. Taylor & Francis Group, 2015.

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27

Pierrepont, Alexandre. The Salmon of Wisdom. Edited by George E. Lewis and Benjamin Piekut. Oxford University Press, 2015. http://dx.doi.org/10.1093/oxfordhb/9780195370935.013.28.

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Abstract (sommario):
This chapter scrutinizes the universe of representations of creative musicians, especially in the combinatorial and transformative dynamics of the jazzistic field. The poetics of improvisation encompasses both analytical analogical thought, through a dialogic treatment of oppositions rendered complementary, while allowing the discovery and practice of one’s own plurality: one’s self and self’s other. For improvisers, a continuum of multiple meanings may be played out in and around oneself, without abdicating clarity of conscience or the acuity of contexts and structures. In the act of improvis
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28

Cicuta, Giovanni, and Luca Molinari. Two-matrix models and biorthogonal polynomials. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.15.

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Abstract (sommario):
This article considers two cases of two-matrix models that are amenable to biorthogonal polynomials: Itzykson-Zuber interaction and Cauchy interaction. The features and applications of the biorthogonal polynomials relevant to either case are discussed, but first the article provides an overview of chain-matrix models. It then describes the Itzykson-Zuber Hermitian two-matrix model and the Christoffel–Darboux identities, along with the spectral curve. It also examines the so-called mixed correlation functions that are involved in the combinatorial applications of the two-matrix model before con
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29

Art of Proving Binomial Identities. Taylor & Francis Group, 2019.

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30

Spivey, Michael Z. Art of Proving Binomial Identities. Taylor & Francis Group, 2019.

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31

Spivey, Michael Z. Art of Proving Binomial Identities. Taylor & Francis Group, 2019.

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32

Art of Proving Binomial Identities. Taylor & Francis Group, 2019.

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33

Art of Proving Binomial Identities. Taylor & Francis Group, 2023.

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34

Marseken, Susan F., Miriam T. Timpledon, and Lambert M. Surhone, eds. Ring of Symmetric Functions: Algebra, Algebraic Combinatorics, Symmetric Polynomial, Representation Theory of the Symmetric Group, Polynomial Ring, Elementary Symmetric Polynomial, Newton's Identities. Betascript Publishers, 2010.

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35

Topics in Hyperplane Arrangements. American Mathematical Society, 2017.

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