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Theory of multiple Zeta values with applications in combinatorics [[electronic resource] /] / Minking Eie
| Theory of multiple Zeta values with applications in combinatorics [[electronic resource] /] / Minking Eie |
| Autore | Eie Minking <1952-> |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific Pub., c2013 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina |
510
512.73 515.56 |
| Collana | Monographs in number theory |
| Soggetto topico |
Functions, Zeta
Algebraic functions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4472-64-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; I Basic Theory of Multiple Zeta Values; 0 The Time Before Multiple Zeta Values; 0.1 The Evaluation of Euler Double Sums; 0.2 Vandermonde Convolution; 0.3 Zeta Functions Associated with Multiple Zeta Values; 0.4 Messages from Modular Forms; 1 Introduction to the Theory of Multiple Zeta Values; 1.1 Introduction and Notations; 1.2 Drinfeld Integral Representations of Multiple Zeta Values; 1.3 Double Weighted Sum Formulas; 1.4 The Expectations of Binomial Distributions; 1.5 Exercises; 2 The Sum Formula; 2.1 Through the Integral Representations
2.2 Another Proof of the Sum Formula2.3 Evaluation of Multiple Zeta Values of Height One; 2.4 Exercises; II Shuffle Relations among Multiple Zeta Values; 3 Some Shuffle Relations; 3.1 Shuffle Relations of Multiple Zeta Values; 3.2 An Application of Double Weighted Sums; 3.3 Shuffle Relations of Two Sums of Multiple Zeta Values; 3.4 A Vector Version of the Restricted Sum Formula; 3.5 Exercises; 4 Euler Decomposition Theorem; 4.1 A Shuffle Relation with Two Parameters; 4.2 Integrals with Three Factors; 4.3 Generalizations of Euler Decomposition Theorem 4.4 Applications of the Decomposition Theorem4.5 Applications of Another Decomposition Theorem; 4.6 Exercises; 5 Multiple Zeta Values of Height Two; 5.1 Sums of Multiple Zeta Values of Height Two; 5.2 Weighted Sums of Multiple Zeta Values of Height Two; 5.3 The Shuffle Product Formula of a Sum and Others; 5.4 Exercises; III Applications of Shuffle Relations in Combinatorics; 6 Generalizations of Pascal Identity; 6.1 Applications of Shuffle Products in Combinatorics; 6.2 Hypergeometric Distribution; 6.3 The Generating Function of Three Variables; 6.4 Exercises 7 Combinatorial Identities of Convolution Type7.1 Some Particular Combinatorial Identities; 7.2 A Generating Function for Products; 7.3 A Combinatorial Identity of Convolution Type; 7.4 Another Generating Function of Three Variables; 7.5 Exercises; 8 Vector Versions of Some Combinatorial Identities; 8.1 The Shuffle Product of Two Sums; 8.2 More Combinatorial Identities of Convolution Type; 8.3 Vector Versions of Pascal Identity; 8.4 Problems on Combinatorial Identity; Appendices; A Singular Modular Forms on the Exceptional Domain; A.1 Cayley Numbers and Integral Cayley Numbers A.2 The Exceptional DomainA.3 The Theory of Jacobi Forms; A.4 A Final Application; Appendix (i): Jacobi Forms over Cayley Numbers; Appendix (ii): Basic Properties of a Set of Theta Series; B Shuffle Product Formulas of Multiple Zeta Values; B.1 Introduction; B.2 The Shuffle Product Formula of Two Multiple Zeta Values; B.3 Some Basic Shuffle Relations; B.4 Shuffle Relations of Two Sums of Multiple Zeta Values; B.5 The Generating Function of Height One; Appendix (i): Double Weighted Sum Formulas; Appendix (ii): Evaluations of Some Particular Integrals C The Sum Formula and Their Generalizations |
| Record Nr. | UNINA-9910452281303321 |
Eie Minking <1952->
|
||
| Hackensack, NJ, : World Scientific Pub., c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The theory of multiple zeta values with applications in combinatorics / / Minking Eie, National Chung Cheng University, Taiwan
| The theory of multiple zeta values with applications in combinatorics / / Minking Eie, National Chung Cheng University, Taiwan |
| Autore | Eie Minking <1952-> |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific Pub., c2013 |
| Descrizione fisica | 1 online resource (xii, 300 pages) : illustrations |
| Disciplina |
510
512.73 515.56 |
| Collana | Monographs in number theory |
| Soggetto topico |
Functions, Zeta
Functions of complex variables Combinatorial analysis |
| ISBN | 981-4472-64-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; I Basic Theory of Multiple Zeta Values; 0 The Time Before Multiple Zeta Values; 0.1 The Evaluation of Euler Double Sums; 0.2 Vandermonde Convolution; 0.3 Zeta Functions Associated with Multiple Zeta Values; 0.4 Messages from Modular Forms; 1 Introduction to the Theory of Multiple Zeta Values; 1.1 Introduction and Notations; 1.2 Drinfeld Integral Representations of Multiple Zeta Values; 1.3 Double Weighted Sum Formulas; 1.4 The Expectations of Binomial Distributions; 1.5 Exercises; 2 The Sum Formula; 2.1 Through the Integral Representations
2.2 Another Proof of the Sum Formula2.3 Evaluation of Multiple Zeta Values of Height One; 2.4 Exercises; II Shuffle Relations among Multiple Zeta Values; 3 Some Shuffle Relations; 3.1 Shuffle Relations of Multiple Zeta Values; 3.2 An Application of Double Weighted Sums; 3.3 Shuffle Relations of Two Sums of Multiple Zeta Values; 3.4 A Vector Version of the Restricted Sum Formula; 3.5 Exercises; 4 Euler Decomposition Theorem; 4.1 A Shuffle Relation with Two Parameters; 4.2 Integrals with Three Factors; 4.3 Generalizations of Euler Decomposition Theorem 4.4 Applications of the Decomposition Theorem4.5 Applications of Another Decomposition Theorem; 4.6 Exercises; 5 Multiple Zeta Values of Height Two; 5.1 Sums of Multiple Zeta Values of Height Two; 5.2 Weighted Sums of Multiple Zeta Values of Height Two; 5.3 The Shuffle Product Formula of a Sum and Others; 5.4 Exercises; III Applications of Shuffle Relations in Combinatorics; 6 Generalizations of Pascal Identity; 6.1 Applications of Shuffle Products in Combinatorics; 6.2 Hypergeometric Distribution; 6.3 The Generating Function of Three Variables; 6.4 Exercises 7 Combinatorial Identities of Convolution Type7.1 Some Particular Combinatorial Identities; 7.2 A Generating Function for Products; 7.3 A Combinatorial Identity of Convolution Type; 7.4 Another Generating Function of Three Variables; 7.5 Exercises; 8 Vector Versions of Some Combinatorial Identities; 8.1 The Shuffle Product of Two Sums; 8.2 More Combinatorial Identities of Convolution Type; 8.3 Vector Versions of Pascal Identity; 8.4 Problems on Combinatorial Identity; Appendices; A Singular Modular Forms on the Exceptional Domain; A.1 Cayley Numbers and Integral Cayley Numbers A.2 The Exceptional DomainA.3 The Theory of Jacobi Forms; A.4 A Final Application; Appendix (i): Jacobi Forms over Cayley Numbers; Appendix (ii): Basic Properties of a Set of Theta Series; B Shuffle Product Formulas of Multiple Zeta Values; B.1 Introduction; B.2 The Shuffle Product Formula of Two Multiple Zeta Values; B.3 Some Basic Shuffle Relations; B.4 Shuffle Relations of Two Sums of Multiple Zeta Values; B.5 The Generating Function of Height One; Appendix (i): Double Weighted Sum Formulas; Appendix (ii): Evaluations of Some Particular Integrals C The Sum Formula and Their Generalizations |
| Record Nr. | UNINA-9910779883003321 |
|
Eie Minking <1952->
|
||
| Hackensack, NJ, : World Scientific Pub., c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The theory of multiple zeta values with applications in combinatorics / / Minking Eie, National Chung Cheng University, Taiwan
| The theory of multiple zeta values with applications in combinatorics / / Minking Eie, National Chung Cheng University, Taiwan |
| Autore | Eie Minking <1952-> |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific Pub., c2013 |
| Descrizione fisica | 1 online resource (xii, 300 pages) : illustrations |
| Disciplina |
510
512.73 515.56 |
| Collana | Monographs in number theory |
| Soggetto topico |
Functions, Zeta
Functions of complex variables Combinatorial analysis |
| ISBN | 981-4472-64-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; I Basic Theory of Multiple Zeta Values; 0 The Time Before Multiple Zeta Values; 0.1 The Evaluation of Euler Double Sums; 0.2 Vandermonde Convolution; 0.3 Zeta Functions Associated with Multiple Zeta Values; 0.4 Messages from Modular Forms; 1 Introduction to the Theory of Multiple Zeta Values; 1.1 Introduction and Notations; 1.2 Drinfeld Integral Representations of Multiple Zeta Values; 1.3 Double Weighted Sum Formulas; 1.4 The Expectations of Binomial Distributions; 1.5 Exercises; 2 The Sum Formula; 2.1 Through the Integral Representations
2.2 Another Proof of the Sum Formula2.3 Evaluation of Multiple Zeta Values of Height One; 2.4 Exercises; II Shuffle Relations among Multiple Zeta Values; 3 Some Shuffle Relations; 3.1 Shuffle Relations of Multiple Zeta Values; 3.2 An Application of Double Weighted Sums; 3.3 Shuffle Relations of Two Sums of Multiple Zeta Values; 3.4 A Vector Version of the Restricted Sum Formula; 3.5 Exercises; 4 Euler Decomposition Theorem; 4.1 A Shuffle Relation with Two Parameters; 4.2 Integrals with Three Factors; 4.3 Generalizations of Euler Decomposition Theorem 4.4 Applications of the Decomposition Theorem4.5 Applications of Another Decomposition Theorem; 4.6 Exercises; 5 Multiple Zeta Values of Height Two; 5.1 Sums of Multiple Zeta Values of Height Two; 5.2 Weighted Sums of Multiple Zeta Values of Height Two; 5.3 The Shuffle Product Formula of a Sum and Others; 5.4 Exercises; III Applications of Shuffle Relations in Combinatorics; 6 Generalizations of Pascal Identity; 6.1 Applications of Shuffle Products in Combinatorics; 6.2 Hypergeometric Distribution; 6.3 The Generating Function of Three Variables; 6.4 Exercises 7 Combinatorial Identities of Convolution Type7.1 Some Particular Combinatorial Identities; 7.2 A Generating Function for Products; 7.3 A Combinatorial Identity of Convolution Type; 7.4 Another Generating Function of Three Variables; 7.5 Exercises; 8 Vector Versions of Some Combinatorial Identities; 8.1 The Shuffle Product of Two Sums; 8.2 More Combinatorial Identities of Convolution Type; 8.3 Vector Versions of Pascal Identity; 8.4 Problems on Combinatorial Identity; Appendices; A Singular Modular Forms on the Exceptional Domain; A.1 Cayley Numbers and Integral Cayley Numbers A.2 The Exceptional DomainA.3 The Theory of Jacobi Forms; A.4 A Final Application; Appendix (i): Jacobi Forms over Cayley Numbers; Appendix (ii): Basic Properties of a Set of Theta Series; B Shuffle Product Formulas of Multiple Zeta Values; B.1 Introduction; B.2 The Shuffle Product Formula of Two Multiple Zeta Values; B.3 Some Basic Shuffle Relations; B.4 Shuffle Relations of Two Sums of Multiple Zeta Values; B.5 The Generating Function of Height One; Appendix (i): Double Weighted Sum Formulas; Appendix (ii): Evaluations of Some Particular Integrals C The Sum Formula and Their Generalizations |
| Record Nr. | UNINA-9910815775303321 |
|
Eie Minking <1952->
|
||
| Hackensack, NJ, : World Scientific Pub., c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Theory of optimal search / Lawrence D. Stone
| Theory of optimal search / Lawrence D. Stone |
| Autore | STONE, Lawrence D. |
| Descrizione fisica | XIV, 260 p. ill. ; 24 cm |
| Disciplina | 510 |
| Collana | Mathematics in science and engineering |
| Soggetto topico | Matematica |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990003338080203316 |
|
STONE, Lawrence D.
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| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Theory of reproducing kernels and applications [[electronic resource] /] / by Saburou Saitoh, Yoshihiro Sawano
| Theory of reproducing kernels and applications [[electronic resource] /] / by Saburou Saitoh, Yoshihiro Sawano |
| Autore | Saitoh Saburou |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (464 p.) |
| Disciplina | 510 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Functional analysis
Fourier analysis Functions of complex variables Partial differential equations Functional Analysis Fourier Analysis Functions of a Complex Variable Partial Differential Equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Definitions and examples of reproducing kernel Hilbert spaces -- Fundamental properties of RKHS -- Moore Penrose generalized inverses and Tikhonov regularization -- Real inversion formulas of the Laplace transform -- Applications to ordinary differential equations -- Applications to partial differential equations -- Applications to integral equations -- Special topics on reproducing kernels -- Appendices -- Index. |
| Record Nr. | UNINA-9910136603903321 |
|
Saitoh Saburou
|
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A theory of semigroup valued measures [e-book] / by Maurice Sion
| A theory of semigroup valued measures [e-book] / by Maurice Sion |
| Autore | Sion, Maurice |
| Pubbl/distr/stampa | Berlin : Springer, 1973 |
| Descrizione fisica | 1 online resource (140 p.) |
| Disciplina | 510 |
| Collana | Lecture Notes in Mathematics, 0075-8434 ; 355 |
| Soggetto topico | Mathematics |
| ISBN | 9783540378396 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002177759707536 |
|
Sion, Maurice
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| Berlin : Springer, 1973 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
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Theory of sets / Nicolas Bourbaki
| Theory of sets / Nicolas Bourbaki |
| Autore | Bourbaki, Nicolas |
| Pubbl/distr/stampa | Paris : Hermann, c1968 |
| Disciplina |
511.322
510 |
| Collana |
Actualités scientifiques et industrielles
Elements of mathematics |
| Soggetto non controllato |
Teoria degli insiemi
Opere di matematica generale Opera di Bourbaki |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001214930403321 |
|
Bourbaki, Nicolas
|
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| Paris : Hermann, c1968 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The theory of the top. volume IV [[electronic resource] ] : technical applications of the theory of the top / / by Felix Klein, Arnold Sommerfeld
| The theory of the top. volume IV [[electronic resource] ] : technical applications of the theory of the top / / by Felix Klein, Arnold Sommerfeld |
| Autore | Klein Felix |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2014 |
| Descrizione fisica | 1 online resource (264 pages) : illustrations |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
History Physics Mechanics Applied mathematics Engineering mathematics History of Mathematical Sciences Mathematical Methods in Physics Classical Mechanics History and Philosophical Foundations of Physics Applications of Mathematics |
| ISBN | 0-8176-4829-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910767557303321 |
|
Klein Felix
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| New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Theta functions on riemann surfaces [e-book] / by John D. Fay
| Theta functions on riemann surfaces [e-book] / by John D. Fay |
| Autore | Fay, John D. |
| Pubbl/distr/stampa | Berlin : Springer, 1973 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina | 510 |
| Collana | Lecture Notes in Mathematics, 0075-8434 ; 352 |
| Soggetto topico | Mathematics |
| ISBN | 9783540378150 |
| Formato | Risorse elettroniche |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002177299707536 |
|
Fay, John D.
|
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| Berlin : Springer, 1973 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Thinking mathematically : instructor's edition / Robert Blitzer
| Thinking mathematically : instructor's edition / Robert Blitzer |
| Autore | BLITZER, Robert |
| Edizione | [4. ed.] |
| Pubbl/distr/stampa | Upper Saddle River, : Pearson Prentice Hall, 2008 |
| Descrizione fisica | XVI, 870 p. : ill. ; 27 cm + 2 Cd-Rom |
| Disciplina | 510 |
| Soggetto topico | Matematica |
| ISBN |
978-0-13-175204-9
987- 0-13-175206-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996308449403316 |
|
BLITZER, Robert
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| Upper Saddle River, : Pearson Prentice Hall, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
