000			04394nam a22003017a 4500
005			20220826111552.0
008			220808b |||||||| |||| 00| 0 eng d
020			_a9783319885926
028			_a:Zafaa Books & Distributors _b:313/56F 49A, Anand Nagar Inderlok Delhi 110035 _c:ZBD0387 _d:09/08/2022
082			_a512.7 AND
100			_aAndrews, George E
245			_aAnalytic Number Theory, Modular Forms and q-Hypergeometric Series _b: in honor of Krishna Alladi's 60th birthday, University of Florida, Gainesville, March 2016 _c/ George E Andrews
260			_aCham, Switzerland _b: Springer, _c2017.
300			_al, 736p. _c24cm.
365			_b17079
490			_aSpringer proceedings in mathematics & statistics, v. 221.
505			_a 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/? -- 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' ?-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
520			_aGathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory. Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory
650			_aMathematics
650			_a Algebra
650			_aNumber theory -- Congresses.
650			_aNumber Theory.
650			_aNumber theory.
650			_aMathematics -- Algebra -- Intermediate.
700			_a Andrews, George E
700			_aGarvan, Frank
942			_cBOOK
999			_c59464 _d59464