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Analytic Number Theory, Modular Forms and q-Hypergeometric Series : In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016 / / edited by George E. Andrews, Frank Garvan
| Analytic Number Theory, Modular Forms and q-Hypergeometric Series : In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016 / / edited by George E. Andrews, Frank Garvan |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (736 pages) |
| Disciplina | 512.7 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Number theory
Number Theory |
| ISBN | 3-319-68376-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- List of Participants -- Plus-Minus Weighted Zero-Sum Constants: A Survey.- Vector-valued Modular Forms and the Seventh Order Mock Theta Functions.- The Alladi-Schur Polynomials and Their Factorization.- New Representations for s(q) via Reciprocity Theorems.- Mean Values of the Functional Equation Factors at the Zeros of Derivatives of the Riemann Zeta Function and Dirichlet L-Functions.- New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions.- The Appearance of H. F. Baker and E. W. Hobson in “The Man Who Knew Infinity”.- A Bibasic Heine Transformation Formula and Ramanujan’s 2f1 Transformations.- Adventures with the OEIS.- Three-Colored Partitions and Dilated Companions of Capparelli’s Identities.- Nearly Equal Distributions of the Rank and the Crank of Partitions.- Holonomic Alchemy and Series for 1/π -- Integral Points on a Very Flat Convex Curve -- Unification, Refinements and Companions of Generalisations of Schur’s Theorem -- Integrals Involving Rudin-Shapiro Polynomials and Sketch of a Proof of Saffari’s Conjecture -- From Ramanujan to Groups of Rationals: A personal history of abstract multiplicative functions.- On an Additive Prime Divisor Function of Alladi and Erdos.- Ramanujan’s Tau Function.- Construction of Cusp Forms Using Rankin-Cohen Brackets.- An Open Problem of Corteel, Lovejoy, and Mallet.- On the Asymptotics of Partial Theta Functions.- Overpartitions and Truncated Partition Identities -- Congruences Modulo Powers of 2 for the Number of Unique Path Partitions.- Complex Form of Classical and Quantum Electrodynamics -- On a System of q-Partial Differential Equations with Applications to q-Series.- Asymmetric Generalizations of Schur’s theorem -- Local Behavior of the Composition of the Aliquot and Co-Totient Functions.- On the Universal Mock Theta Function g2 and Zwegers’ μ-function -- Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series.- Littlewood Polynomials -- Trapezoidal Numbers, Divisor Functions, and a Partition Theorem of Sylvester -- Estimates of li(q(x))−p(x) and the Riemann Hypothesis.- Partition-Theoretic Formulas for Arithmetic Densities.- A NewWitness Identity for 11 | p(11n+6) -- On the Representations of a Positive Integer by Certain Classes of Quadratic Forms in Eight Variables.- A Note on Thue Inequalities with Few Coefficients.- Basic Hypergeometric Summations from Rook Theory.- Overpartitions and Singular Overpartitions -- A Classical q-Hypergeometric Approach to the A (2) 2 Standard Modules -- Generalized Mertens Sums. . |
| Record Nr. | UNINA-9910279757503321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lattice Path Combinatorics and Applications / / edited by George E. Andrews, Christian Krattenthaler, Alan Krinik
| Lattice Path Combinatorics and Applications / / edited by George E. Andrews, Christian Krattenthaler, Alan Krinik |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (443 pages) |
| Disciplina | 511.33 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Combinatorics
Number theory Graph theory Convex geometry Discrete geometry Probabilities Number Theory Graph Theory Convex and Discrete Geometry Probability Theory and Stochastic Processes |
| ISBN | 3-030-11102-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Lajos Takács: A Tribute (A.M. Haghighi, S.G. Mohanty) -- The Distribution of the Local Time of Brownian Motion with Drift (L. Takács) -- Reflections on Shreeram Abhyankar (K. Alladi) -- My Association and Collaboration with George Andrews (K. Alladi) -- A Refinement of the Alladi–Schur Theorem (G.E. Andrews) -- Explicit Formulas for Enumeration of Lattice Paths: Basketball and the Kernel Method (C. Banderier, C. Krattenthaler, A. Krinik, D. Kruchinin, V. Kruchinin, D. Nguyen, M. Wallner) -- The Kernel Method for Lattice Paths below a Line of Rational Slope (C. Banderier, M. Wallner) -- Enumeration of Colored Dyck Paths via Partial Bell Polynomials (D. Birmajer, J.B. Gil, P.R.W. McNamara, M.D. Weiner) -- A Review of the Basic Discrete q-Distributions (Ch.A. Charalambides) -- Families of Parking Functions Counted by the Schröder and Baxter Numbers (R. Cori, E. Duchi, S. Rinaldi, V. Guerrini) -- Some Tilings, Colorings and Lattice Paths via Stern Polynomials (K. Dilcher, L. Ericksen) -- p-Rook Numbers and Cycle Counting in Cp|Sn (J. Haglund, J. Remmel, M. Yoo) -- Asymptotic Behaviour of Certain q-Poisson, q-Binomial and Negative q-Binomial Distributions (A. Kyriakoussis, M. Vamvakari) -- Asymptotic Estimates for Queueing Systems with Time-Varying Periodic Transition Rates (B. Margolius) -- A Combinatorial Analysis of the M/M[m]/1 Queue (G. Mercankosk, G.M. Nair) -- Laws Relating Runs, Long Runs, and Steps in Gambler’s Ruin, with Persistence in Two Strata (G.J. Morrow) -- Paired Patterns in Lattice Paths (R.Pan, J.B. Remmel). |
| Record Nr. | UNINA-9910338252803321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||