Format: Hardback, 482 pages, height x width: 235x155 mm, 12 Illustrations, color; 12 Illustrations, black and white; Approx. 250 p. 10 illus., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 464
Pub. Date: 08-Dec-2024
ISBN-13: 9783031650635
This proceedings volume, the sixth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 20th and 21st annual workshops, held in New York in 2022 (virtual) and 2023 (hybrid) respectively. Organized every year since 2003 by the New York Number Theory Seminar at the CUNY Graduate Center, the workshops survey state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics.
In this volume, the reader will find peer-reviewed and edited papers on current topics in number theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.
Chessboard Domination: Introduction of Some New Problems.-
Bounds on distinct and repeated dot product trees.-
Fractal Dimension, Approximation, and Data Sets.-
Towards the Gaussianity of Random Zeckendorf Games.-
Linear Recurrences of Order at Most Two in Nontrivial Small Divisors and Large Divisors.-
Representing Positive integers as a Sum of a Squarefree Number and a Prime.-
Symmetric (not Complete Intersection) Numerical Semigroups and Syzygy Identities.-
Commutative Monoid of Self-Dual Symmetric Polynomials.-
Geometric Progressions in the Sets of Values of Reducible Cubic Forms.-
Uniform Approximation by Polynomials with Integer Coecients via the Bernstein Lattice.-
On the Distribution of Subset Sums of Certain Sets in Zp2 and in N2.-
On a Polynomial Reciprocity Theorem of Carlitz.- Petersson-Knopp Type Identities for Generalized Dedekind-
Rademacher Sums Attached to Three Dirichlet Characters.-Explicit Bounds for Large Gaps between Cubefree Integers.-
The Family of -Floor Quotient Partial Orders.-
The Muirhead-Rado Inequality, 1: Vector Majorization and the Permutohedron.-
The Muirhead-Rado Inequality, 2: Symmetric Means and Inequalities.-
Patterns in the Iteration of an Arithmetic Function.-
The Rate of Convergence for Selbergs Central Limit Theorem under the Riemann Hypothesis.-
Some proofs about Sequences in the Spirit of Paul Du Bois-Reymond.-
Series with Summands involving Harmonic Numbers.-
Condensation and Densication for Sets of Large Diameter
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Format: Hardback, 403 pages, height x width: 235x155 mm, 15 Illustrations, color; 6 Illustrations, black and white; X, 170 p., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 465
Pub. Date: 23-Oct-2024
ISBN-13: 9783031651946
This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations X, which was held at the University of Minho, Braga, Portugal, from 2022. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology..
Thierry Paul, Mario Pulvirenti and Sergio Simonella, Mean Field Limit
for the Kac model and Grand Canonical Formalism.- L. Desvillettes, Some
remarks about the Link between the Fisher information and Landau or
Landau-Fermi-Dirac entropy dissipation.- Rossana Marra, Hydrodynamic limit
from the Boltzmann equation in a slightly compressible regime.- Amit Einav,
The Entropic journey of Kacs Model.- L. S. Ferreira, Entropy production
bounds for the Kac model are uniform in the number of particles.- P. Degond,
Radial Laplacian on rotation groups.- Bernt Wennberg, The two dimensional
Lorentz gas in the kinetic limit: theoretical and numerical results.- F.
Bonetto, E. A. Carlen, L. Hauger, and M. Loss, Approach to equilibrium for
the Kac model.- L. Laeche and C. Sario, Uniqueness criteria for the
VlasovPoisson system and applications to semiclassical analysis.- Yuri G.
Kondratiev, T. Kuna, M. J. Oliveira, J. L. da Silva, and L. Streit, Results
about the free Kawasaki dynamics of continuous particle systems in innite
volume: long-time asymptotics and hydrodynamic limit.- R. Vilela Mendes,
Intemperate Levy processes and white noises.- G. M. Schutz, Mesoscale mode
coupling theory for the weakly asymmetric simple exclusion process.- F.
Salvarani, The extended phase space method in kinetic theory.- F. Golse,
Quantum Wasserstein and Observability for Quantum Dynamics.- E. A. Carlen, A.
Novick-Cohen, and L. P. Hari, Connecting the Deep Quench Obstacle Problem
with Surface Diffusion via their Steady States.- F. Achleitner, A. Arnold,
and A. Jungel, Necessary and sufcient conditions for strong stability of
explicit RungeKutta methods.- V. Ricci and B. Coppi and R. Spigler, Magnetic
reconnection: some basic ideas and a review on a collisionless model.
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Format: Hardback, 554 pages, height x width: 235x155 mm, 3 Illustrations, color; 97 Illustrations, black and white; X, 620 p., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 466
Pub. Date: 11-Nov-2024
ISBN-13: 9789819748754
This book presents a thoughtful compilation of chapters derived from the proceedings of the 8th International Arab Conference on Mathematics and Computations (IACMC 2023), held at Zarqa University in Zarqa, Jordan, from 10?12 May 2023. Encompassing a broad spectrum of themes crucial to contemporary research and development, the book delved into subjects ranging from partial and differential equations to fractional calculus, from probability and statistics to graph theory, and from approximation theory to nonlinear dynamics. Moreover, it explores pivotal areas such as numerical analysis and methods, as well as fostering interdisciplinary mathematical research initiatives.
Building upon the legacy of its predecessors, IACMC 2023 served as a premier platform for scholars, researchers and industry professionals to converge and exchange insights on a myriad of cutting-edge advancements and practical applications within the realm of mathematical sciences. This volume encapsulates the essence of IACMC 2023, offering readers a comprehensive overview of the latest breakthroughs and trends in mathematical sciences while serving as a testament to the collaborative spirit and intellectual vigor that define this esteemed conference series.
R. Elsousy, Abdel-Salam G. Abdel-Salam, Continuous versus Categorical
Imputation Method for Unobserved Count with Zero-Inflation.- F. Alsaafin, A.
Burqan, Matrix Inequalities for the Difference between Arithmetic and Heinz
Means.- Mohammad A. Amleh, Prediction of Future Order Statistics for
Step-Stress Model with Frechet Distribution.- Edward L. Boone, R. Ghanam,
Optimal Sampling Locations for Fractional Partial Differential Equations
Using D-Optimality.- A. Alsoboh, A. Amourah, M. Darus, A. Alahmade,
q-Neighborhoods and Partial Sums for Certain Subclasses of Analytic Functions
with Negative Coefficients.- M. Shahwan, Lie Algebraic Method for Generating
Certain Harmonic Oscillator-like Functions.- Mustafa I. Alheety, M. Qasim, K.
Mansson, B. M. Golam Kibria, On Some Weighted Mixed Ridge Regression
Estimators: Theory, Simulation and Application.- N. S. Mohammed, Emad A.
Kuffi, Dhamyaa H. Al-Nuaimi, Utilize the Complex Sadik Transform to Solution
Volterra Integro-Differential Equations of Second Type.- Majd Al-Zoubaidi,
Amjad D. Al-Nasser, Entropy-Based Weighted Exponential Regression.- S.
Al-Hijjawi, S. Alkhazaleh, Time Effective Fuzzy Soft Set.- Gharib M. Gharib,
Maha S. Alsauodi, Rania Saadeh, Worood A. AL-hakim, Baraa A. Abujarad, Using
Medfield Atomic Solution Method to Solve Nonhomogeneous Fractional Partial
Differential Equations.- Fuad A. Abushaheen, A Separation Axiom via a New
Type of Function in Hereditary bi m-Spaces.- V. Edemskiy, S. Garbar, Large
Family of Quaternary Sequences with High Linear Complexity and Period PNQM.-
Abed Al-Hakim Majdalawi, Amjad D. Al-Nasser, Fitting Regression Models when
Both Variables are Subject to Non-Normal Error Terms.- Alaa Al-Kateeb, H.
Hong, E. Lee, Structure of Cyclotomic Polynomials and Several Applications.-
S. Ali Jafar Zaidi, Z. Shoukat, S. Brahim Belhaouri, K. Kassoul, IOT based
Face Recognition and Surveillance System using Smart Phones.- H. Hussein, A.
Islamand, S. B. Belhaouari, Stress Detection using Novel Time-Frequency
Decomposition: Progressive Fourier Transform.- R. Saadeh, M. Mustafa, A.
Burqan, Solving Partial Integro-Differential Equations via Double
ARA-Formable Transform.- R. Saadeh, L. Hammdi, Ahmad Qazza, Solving Partial
Integro-Differential Equations via Double Laplace-Formable Transform.- K.
Kassou, S. B. Belhaouari, N. Cheikhrouhou, Particle Swarm Optimization-Based
Variables Decomposition Method for Global Optimization.- M. Berir, M. Abdoon,
A. Qazza, R. Saadeh, F. El Guma, A Co-oparative Numerical Study of a
Classical Model and Fractional Model for Leishmaniasis.- M. M. Shuaib,
Modeling Risk and Precautionary Time Factors and Investigating Their Impact
on Route Selection Behavior Under Fire Emergency.- A. Alsoboh, A. Amourah, B.
Alamri, and M. S. Alatawi, G. Gharib, A Certain Subclass of Analytic
Functions Related to q-Calculus and their Second Hankel Determinant.- K.
Kassou, S. B. Belhaouari, N. Cheikhrouhou, Particle Swarm Optimization-Based
Variables Decomposition Method for Global Optimization.- A. Alsoboh, A.
Amourah, M. S. Alatawi, G. Gharib, M. Shatnawi, Exploration of New Classes of
bi-Univalent Functions Defined by the Subordination Principle using
q-Gegenbauer Polynomials.- M. Rasool, Samir Brahim Belhaouari, Hamza Baali,
Image Encryption: An Exploration of Collatz Conjecture to Strengthen Data
Security.- B. Abughazaleh, M. Alamleh, A. Al-Natoor, R. Saadeh, Double
Mellin-ARA Transform.- O. Al-Refai, Estimating Coefficient Bounds for Classes
of bi-Univalent Functions Defined by Fractional Derivatives.- A. AbuSnainah,
A. Burqan, W. Audeh, Novel Bounds for Generalized of Logarithmic and Identric
Means.- A. Qazza, Efficient Construction Technique for Resolving Dirichlet
Boundary-Value Problems in Multiply Connected Domains for Real Elliptic
Equations.- S. AlZubai, A. D. Al-Nasser, Fitting Big Data using Structural
Measurement Error Model.- S. Alshorm, I. M. Batiha, J. Oudetallah, Stochastic
Population Growth Model using Three-Point Fractional Formula.- T. Eriqat,
Moaath N. Oqielat, A. El-Ajou, O. Ogilat, S. Momani, Approximate Solutions
of the Fractional ZakharovKuznetsov Equation using LaplaceResidual Power
Series Method.- A. Fareed, S. Hassan, S. Brahim, Reducing Data Sparsity in
Movie Recommendation System.- J. Jawdat, Hybrid Nanofluids with Fractional
Chaotic Convection.- A. Burqan, Bahaaldeen Alnaddaf, Cristian Conde, Ahmad
Al-Natoor, New Refinements of Generalized Numerical Radius Inequalities.- R.
Saadeh, B. Ghazal, S. Mashagbeh, Using Double Formable Transform to Solve
Fractional Partial Differential.- R. Saadeh, B. Ghazal, Ahmad Qazza, General
Transform Decomposition Method.- I. M. Batiha, S. Alshorm, M. Almuzini,
Solving Fractional Order Monkeypox Model by New Numerical Methods.- W. A.
Almseadeen, Feras M. Al Faqih, Mohammed Z. Swalmeh, Magnetohydrodynamics
Boundary Layer Analysis of Free Convection Flow in the Presence of Casson
Ternary Hybrid Nanofluid over a Stretching Sheet.- O. Ramadan, A. Burqan,
Refinements of Reverse Young Inequality for Scalars and Matrices.- W. Audeh,
A. Boustanji, M. Al-Labadi, Singular Value Inequalities for Increasing Convex
Functions of Matrices.- M. Abduljabar Al-Hasawi, Methods of Obtaining the
Ridge Parameter K in Multiple Linear Regression Analysis.- Z. Oflaz, S.
Brahim Belhaouari, Coupled Hidden Markov Model with Binomial and Truncated
Geometric Copula to Investigate Hypertension and Diabetes Multimorbidity
Progression.- I. Jebril, S. Alshorm, I. M. Batiha, Numerical Solution for
Fractional-Order Glioblastoma.
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Format: Hardback, 214 pages, height x width: 235x155 mm, X, 204 p., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 470
Pub. Date: 19-Nov-2024
ISBN-13: 9789819769100
This book collects original research papers and survey articles presented at two conferences on the same theme: the International Conference on Class Groups of Number Fields and Related Topics, held at Kerala School of Mathematics, Kozhikode, Kerala, India, from 21?24 October 2021 and then from 21?24 November 2022. It presents the fundamental research problems that arise in the study of class groups of number fields and related areas. The book also covers some new techniques and tools to study these problems. Topics in this book include class groups of number fields, units, Ankeny?Artin?Chowla conjecture, Iwasawa theory, elliptic curves, Diophantine equations, partition functions, Diophantine tuples, congruent numbers, Carmichael ideals in a number field and their connection with class groups.
This book will be a valuable resource for graduate students and researchers in mathematics interested in class groups of number fields and their connections to other branches of mathematics. It also attracts new researchers to the field and young researchers will benefit immensely from the diverse problems discussed in this book. All the contributing authors are leading academicians, scientists and profound researchers. This book is dedicated to Prof. Michel Waldschmidt, a renowned French number theorist, on his 75th birthday.
A Geometric Approach to Large Class Groups A Survey.- On Simultaneous Divisibility of the Class Numbers of Imaginary Quadratic Fields.- The Diophantine Equations A Survey.- A Lower Bound for the Class Number of Certain Real Quadratic Fields.- A Survey of Certain Euclidean Number Fields.- Divisibility of Class Number of a Real Cubic or Quadratic Field and Its Fundamental Unit.
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Format: Hardback, 366 pages, height x width: 235x155 mm, 11 Illustrations, black and white; X, 360 p., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 474
Pub. Date: 10-Nov-2024
ISBN-13: 9789819767977
This volume contains selected chapters on algebra and related topics presented at the International Conference on Algebra and its Applications, held at the Department of Mathematics, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez, Morocco, from 12?15 July 2023, held in honour of Prof. Ayman Badawi and Prof. Abdelmoujib Benkirane. It contains a cross-section of topics in algebra and its applications which contribute to the development of pure and applied algebra. Chapters in the book focus on modern trends and techniques in various branches of pure and applied algebra and highlight their applications in several other branches of mathematics like coding theory, cryptography and graph theory. Covering a broad range of topics in pure and applied algebra, the book will be useful to a wide spectrum of researchers and graduate students in mathematics.
Ali Benhissi, Strongly Hopfian rings of formal power series and power series Armendariz rings in infinitely many variables.- A. Dabbabi, Some results on S-VSFT commutative rings.- V. Kakkar, Zappa-Szep product of right admissible groups.- W. Rehman, Binary quantum codes from cyclic codes over Ru,v.- Mohd Nazim, On the genus and cross cap of the extended sum Annihilating-ideal graph of commutative rings.- Pragneshkumar R. Makwana, Investigation of Ideal and Spectrum of Different Products on Matrices.- B. Sonar, On Spectrum of Neighbourhood Corona Product of Signed Graphs.- V. Kumar, A Study of Key Exchange Protocol Using Quasidirect Product of Groups.- Manjil P. Saikia, On K-Facile Perfect Perfect Numbers.- M. Kumari, On the role of generalized Fibonacci matrices as key in modified ECC.- P. Gupta, On the Relation of Pure Projective Modules with Other Modules.- W. Ahmed, On lie ideals with generalized Homoderivations in prime rings.- Ashok Ji Gupta, Salted cubic unbalanced oil and vinegar digital signature.- R. G. Ghumde, A note on regular qclean rings.- B. Chatterjee, One type of finitely generated minimal linear code over the ring Z2n.- P. Singh, Reductions and sally module.- A. S Odyuo, The ?-labeling on decomposition of complete bipartite graphs.- R. Kumar, A Finite Non-Abelian SR-Group G2n.- K. Prasad, Sedenion algebra of the k-Mersenne and k-Mersenne-Lucas.- A. Uddin Ansari, Graded Uniformly S-Noetherian Modules.- M. R. Mozumder, A note on differential identities in s-prime ring with generalized Derivations.- H. Chakraborty, Iso M-Artinian (Noetherian) Modules and Rings.- S. Rani, On Hamming distance and RT distance of class of constacyclic codes over FpnuFpnut-1Fpn.- N. Mahdou, Uniform coherence in amalgamated algebra Along an ideal.- S. Pirzada, Distance Laplacian Spectrum and energy of commuting conjugacy class Graphs.- M. Ashraf, Nonlinear *-Lie higher derivations of unital *-Algebras.- C. Bakkari, Rings in which every ideal is S-weakly Prime ideal.- S. Bouchiba, On ?-V-modules.- David E. Dobbs, Using integral closure to characterize going-down domains, Ii.- R. Tribak, On a generalization of C4-Modu
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Format: Paperback / softback, 236 pages, height x width: 235x155 mm, 15 Illustrations, color; 3 Illustrations, black and white; VI, 154 p. 6 illus., 4 illus. in color., 1 Paperback / softback
Series: Lecture Notes in Mathematics 2356
Pub. Date: 16-Oct-2024
ISBN-13: 9783031690662
This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM). This conjecture asserts the equivalence, for a Fano variety, between the semisimplicity condition of its quantum cohomology and the existence of full exceptional collections in its derived category of coherent sheaves. Additionally, in its quantitative form, the conjecture specifies an explicit relation between the monodromy data of the quantum cohomology, characteristic classes, and exceptional collections. A refined version of the conjecture is introduced, with a particular focus on the central connection matrix, and a precise link is established between this refined conjecture and G-conjecture II, as proposed by S. Galkin, V. Golyshev, and H. Iritani. By performing explicit calculations of the monodromy data, the validity of the refined conjecture for all complex Grassmannians G(r,k) is demonstrated. Intended for students and researchers, the book serves as an introduction to quantum cohomology and its isomonodromic approach, along with its algebraic counterpart in the derived category of coherent sheaves.
Introduction.- GromovWitten Theory and Quantum Cohomology.- Helix
Theory in Triangulated Categories.- Non-Symmetric Orthogonal Geometry of
Mukai Lattices.- The Main Conjecture.- Proof of the Main Conjecture for
Projective Spaces.- Proof of the Main Conjecture for Grassmannians.
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Format: Paperback / softback, 156 pages, height x width: 235x155 mm, Approx. 130 p., 1 Paperback / softback
Series: Lecture Notes in Mathematics 2359
Pub. Date: 31-Oct-2024
ISBN-13: 9783031699252
Description
This book develops a C*-algebraic approach to the notion of principal symbol on Heisenberg groups and, using the fact that contact manifolds are locally modeled by Heisenberg groups, on compact contact manifolds. Applying abstract theorems due to Lord, Sukochev, Zanin and McDonald, a principal symbol on the Heisenberg group is introduced as a homomorphism of C*-algebras. This leads to a version of Connes trace theorem for Heisenberg groups, followed by a proof of the equivariant behavior of the principal symbol under Heisenberg diffeomorphisms. Using this equivariance and the authors globalization theorem, techniques are developed which enable further extensions to arbitrary stratified Lie groups and, as a consequence, the notion of a principal symbol on compact contact manifolds is described via a patching process. Finally, the Connes trace formula on compact contact sub-Riemannian manifolds is established and a spectrally correct version of the sub-Riemannian volume is defined (different from Popp's measure).
The book is aimed at graduate students and researchers working in spectral theory, Heisenberg analysis, operator algebras and noncommutative geometry.
Table of Contents
Preface.- Foreword by Nigel Higson.- Introduction.- Principal Symbol on
the Heisenberg Group.- Equivariance of the Principal Symbol Under Heisenberg
Diffeomorphisms.- Principal Symbol on Contact Manifolds.- Bibliography.
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