1  20
Next
Number of results to display per page
 Tsfasman, M. A. (Michael A.), 1954 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — x, 453 pages : illustration ; 27 cm.
 Summary

 Curves with many points. I: Modular curves Class field theory Curves with many points. II Infinite global fields Decoding: Some examples Sphere packings Codes from multidimensional varieties Applications Appendix: Some basic facts from Volume
 1 Bibliography List of names Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA3 .A4 V.238  Unavailable In process Request 
 Sivaramakrishnan, R., 1936 author.
 Second edition.  Boca Raton : CRC Press, Taylor & Francis Group, [2019]
 Description
 Book — xxxi, 411 pages : illustrations ; 25 cm
 Summary

 Section A  ELEMENTS OF THE THEORY OF NUMBERS. From Euclid to Lucas: Elementary theorems revisited. Solutions of Congruences, Primitive Roots. The Chinese Remainder Theorem. Mobius inversion. Quadratic Residues. Decomposition of a number as a sum of two or four squares. Dirichlet Algebra of Arithmetical Functions. Modular arithmetical functions. A generalization of Ramanujan sums. Ramanujan expansions of multiplicative arithmetic functions. Section B  SELECTED TOPICS IN ALGEBRA. On the uniqueness of a group of order r (r > 1). Quadratic Reciprocity in a finite group. Commutative rings with unity. Noetherian and Artinian rings. Section C  GLIMPSES OF THE THEORY OF ALGEBRAIC NUMBERS. Dedekind domains. Algebraic number fields. Section D  SOME ADDITIONAL TOPICS. Vaidyanathaswamy's classdivision of integers modulo r. Burnside's lemma and a few of its applications. On cyclic codes of length n over Fq. An Analogue of the Goldbach problem. Appendix A. Appendix B. Appendix C. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA247 .S5725 2019  Unknown 
 Murty, Maruti Ram, author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — pages cm.
 Summary

 Introduction Cantor and infinity Axiomatic set theory Elementary number theory Computability and provability Hilbert's tenth problem Applications of Hilbert's tenth problem Hilbert's tenth problem over number fields Background material Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA242 .M8945 2019  Unknown 
 LozanoRobledo, Álvaro, 1978 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — xv, 488 pages ; 27 cm.
 Summary

 Introduction Integers, polynomials, lines, and congruences: The integers The prime numbers Congruences Groups, rings, and fields Finite fields The theorems of Wilson, Fermat, and Euler Primitive roots Quadratic congruences and quadratic equations: An introduction to quadratic equations Quadratic congruences The HasseMinkowski theorem Circles, ellipses, and the sum of two squares problem Continued fractions Hyperbolas and Pell's equation Cubic equations and elliptic curves: An introduction to cubic equations Elliptic curves Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA242.5 .L6945 2019  Unavailable In process Request 
5. The plaid model [2019]
 Schwartz, Richard Evan, author.
 Princeton ; Oxford : Princeton University Press, 2019.
 Description
 Book — xii, 268 pages : illustrations ; 25 cm.
 Summary

Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of ordinary billiards. The Plaid Model, which is a selfcontained sequel to Richard Schwartz's Outer Billiards on Kites, provides a combinatorial model for orbits of outer billiards on kites. Schwartz relates these orbits to such topics as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The combinatorial model, called "the plaid model, " has a selfsimilar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be extremely difficult to reach through traditional mathematics. The book includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration.
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title NO.198  Unknown 
 Lehman, J. L. (James Larry), 1957 author.
 Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, [2019]
 Description
 Book — xiii, 394 pages : illustrations ; 24 cm.
 Summary

 Introduction: A brief review of elementary number theory Quadratic domains and ideals: Gaussian integers and sums of two squares Quadratic domains Ideals of quadratic domains Quadratic forms and ideals: Quadratic forms Correspondence between forms and ideals Positive definite quadratic forms: Class groups of negative discriminant Representations by positive definite forms Class groups of quadratic subdomains Indefinite quadratic forms: Continued fractions Class groups of positive discriminant Representations by indefinite forms Quadratic recursive sequences: Properties of recursive sequences Applications of quadratic recursive sequences Concluding remarks List of notation Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA247 .L41955 2019  Unknown 
 Li, W. C. Winnie (WenChing Winnie), author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2019]
 Description
 Book — vii, 95 pages : illustrations ; 26 cm.
 Summary

 Number theoretic zeta and $L$functions The Selberg zeta function $L$functions in geometry The Ihara zeta function Spectral graph theory Explicit constructions of Ramanujan graphs Artin $L$functions and prime distributions for graphs Zeta and $L$functions of complexes Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA1 .R33 NO.129  Unknown 
 International Conference on padic Functional Analysis (14th : 2016 : Aurillac, France)
 [Providence, RI] : American Mathematical Society, [2018]
 Description
 Book — vi, 290 pages ; 26 cm.
 Summary

This book contains the proceedings of the 14th International Conference on $p$adic Functional Analysis, held from June 30July 5, 2016, at the Universite d'Auvergne, Aurillac, France. Articles included in this book feature recent developments in various areas of nonArchimedean analysis: summation of p adic series, rational maps on the projective line over Q p , nonArchimedean HahnBanach theorems, ultrametric Calkin algebras, G modules with a convex base, noncompact Trace class operators and Schattenclass operators in p adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in LeviCivita fields, ultrametric spectra of commutative nonunital Banach rings, classes of nonArchimedean Koethe spaces, p adic Nevanlinna theory and applications, and subcoordinate representation of p adic functions. Moreover, a paper on the history of p adic analysis with a comparative summary of nonArchimedean fields is presented. Through a combination of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in nonArchimedean analysis as well as a broad knowledge of some of the subareas of this exciting and fastdeveloping research area.
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA241 .I585 2016  Unknown 
 Corvaja, Pietro, author.
 Cambridge, United Kingdom : Cambridge University Press, 2018.
 Description
 Book — x, 198 pages : illustrations ; 24 cm.
 Summary

 Notations and conventions Introduction
 1. Diophantine approximation and Diophantine equations
 2. Schmidt's subspace theorem and Sunit equations
 3. Integral points on curves and other varieties
 4. Diophantine equations with linear recurrences
 5. Some applications of the subspace theorem in transcendental number theory References Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA242 .C67 2018  Unknown 
 Cham, Switzerland : Springer, [2018]
 Description
 Book — xiv, 431 pages : illustrations (some color) ; 24 cm.
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title V.2213  Unknown 
 Hutz, Benjamin, 1978 author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — xii, 313 pages : illustrations ; 26 cm.
 Summary

 Introduction Integers Modular arithmetic Quadratic reciprocity and primtive roots Secrets Arithmetic functions Algebraic numbers Rational and irrational numbers Diophantine equations Elliptic curves Dynamical systems Polynomials Bibliography List of algorithms List of notations Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA241 .H88 2018  Unavailable In process Request 
12. Introduction to number theory [2018]
 Hill, Richard Michael, author.
 London ; Hackensack, NJ : World Scientific Publishing Europe Ltd., [2018]
 Description
 Book — xiv, 247 pages ; 23 cm.
 Summary

Textbook, with answers to some exercises.
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA241 .H4845 2018  Unknown 
13. Lectures on logarithmic algebraic geometry [2018]
 Ogus, Arthur, author.
 Cambridge, United Kingdom : Cambridge University Press, 2018.
 Description
 Book — xviii, 539 pages : illustrations ; 24 cm.
 Summary

 1. The geometry of monoids
 2. Sheaves of monoids
 3. Logarithmic schemes
 4. Differentials and smoothness
 5. Betti and de Rham cohomology.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA565 .O38 2018  Unknown 
14. Nilpotent structures in ergodic theory [2018]
 Host, B. (Bernard), author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — x, 427 pages ; 27 cm.
 Summary

 Introduction
 Part 1. Basics: Background material Dynamical background Rotations Group extensions
 Part 2. Cubes: Cubes in an algebraic setting Dynamical cubes Cubes in ergodic theory The structure factors
 Part 3. Nilmanifolds and nilsystems: Nilmanifolds Nilsystems Cubic structures in nilmanifolds Factors of nilsystems Polynomials in nilmanifolds and nilsystems Arithmetic progressions in nilsystems
 Part 4. Structure theorems: The ergodic structure theorem Other structure theorems Relations between consecutive factors The structure theorem in a particular case The structure theorem in the general case
 Part 5. Applications: The method of characteristic factors Uniformity seminorms on $\ell^\infty$ and pointwise convergence of cubic averages Multiple correlations, good weights, and antiuniformity Inverse results for uniformity seminorms and applications The comparison method Bibliography Index of terms Index of symbols.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA3 .A4 V.236  Unknown 
15. Nuggets of number theory : a visual approach [2018]
 Nelsen, Roger B., author.
 Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, [2018]
 Description
 Book — x, 153 pages : illustrations ; 26 cm.
 Summary

 Figurate numbers Congruence Diophantine equations Pythagorean triples Irrational numbers Fibonacci and Lucas numbers Perfect numbers Solutions to the exercises Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA241 .N435 2018  Unknown 
 [Providence, Rhode Island] : American Mathematical Society, [2018]
 Description
 Book — xiv, 218 pages : Illustrations ; 26 cm.
 Summary

 T. Saito, An overview of the mathematical work of Fumiyuki Momose R. Burko, $p$adic point counting on singular superelliptic curves K. Arai, A note on algebraic points on Shimura curves T. Chatterjee, M. R. Murty, and S. Pathak, A vanishing criterion for Dirichlet series with periodic coefficients N. Hashizume, F. Momose, and J. Chao, On implementation of GHS attack against elliptic curve cryptosystems over cubic extension fields of odd characteristic V. K. Murty, Arithmetic twists and Abelian extensions Y. Gon and T. Oda, An explicit integral representation of SiegelWhittaker functions on $\textrm{Sp}(2, \mathbb{R})$ for the large discrete series representations M. R. Murty, Transcendental numbers and special values of Dirichlet series J. C. Lario and A. Somoza, The SatoTate conjecture for a Picard curve with complex multiplication (with an Appendix by F. Fite) F. Bars, On quadratic points of classical modular curves M. Derickx, B. Mazur, and S. Kamienny, Rational families of 17torsion of elliptic curves over number fields C. CastanoBernard, A refinement of a conjecture of Gross, Kohnen, and Zagier.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA567.2 .M63 N86 2018  Unknown 
17. Orthogonal and symplectic nlevel densities [2017]
 Mason, A. M. (Amy Marie), 1985 author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — v, 93 pages : illustrations ; 26 cm.
 Summary

 IntroductionEigenvalue statistics of orthogonal matricesEigenvalue statistics of symplectic matrices$L$functionsZero statistics of elliptic curve $L$functionsZero statistics of quadratic Dirichlet $L$functions$n$level densities with restricted support Example calculationsBibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title NO.1194  Unknown 
18. Algebraic geometry and number theory : Summer School, Galatasaray University, Istanbul, 2014 [2017]
 CIMPA Summer School (2014 : Galatasaray University, Istanbul), creator.
 Cham, Switzerland : Birkhäuser, [2017]
 Description
 Book — x, 232 pages : illustrations ; 25 cm.
 Summary

 Preface. List of Participants. padic Variation in Arithmetic Geometry: A Survey. The Birational Geometry of Moduli Spaces. On the Geometry of Hypersurfaces of Low Degrees in the Projective Space. The RiemannRoch Theorem in Arakelov Geometry. Computing the Gysin Map Using Fixed Points. On adic Galois Lfunctions. Class Number Problems and Lang Conjectures.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA564 .C56 2014  Unknown 
 International Conference Arithmetic, Geometry, Cryptography and Coding Theory (15th : 2015 : Marseille, France)
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — v, 199 pages : illustrations ; 26 cm.
 Summary

 The exact limit of some cubic towers / Nurdagül Anbar, Peter Beelen and Nhut Nguyen
 Errorcorrection capability of ReedMuller codes / Stéphanie Dib and François Rodier
 Optimal and maximal singular curves / Yves Aubry and Annamaria Iezzi
 An infinite class of Kasami functions that are not APN infinitely often / Eric Férard
 Covariant algebra of the binary nonic and the binary decimic / Reynald Lercier and Marc Olive
 On some bounds for symmetric tensor rank of multiplication in finite fields / Stéphane Ballet, Julia Pieltant, Matthieu Rambaud and Jeroen Sijsling
 Codes from Jacobian surfaces / Safia Haloui
 A new proof of a Thomaelike formula for non hyperelliptic genus 3 curves / Enric Nart and Christophe Ritzenthaler
 Remarks on the TsfasmanBoguslavsky Conjecture and higher weights of projective ReedMuller codes / Mrinmoy Datta and Sudhir R. Ghorpade
 Secret sharing schemes with strong multiplication and a large number of players from toric varieties / Johan P. Hansen
 Field extensions and index calculus on algebraic curves / Vanessa Vitse.
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA268 .I57 2015  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xiii, 376 pages ; 26 cm.
 Summary

 * N. Abe, Change of weight theorem for pro$p$Iwahori Hecke algebras* A.M. Aubert, P. Baum, R. Plymen, and M. Solleveld, Conjectures about $p$adic groups and their noncommutative geometry* I. Chatterji, Introduction to the Rapid Decay property* T. Crisp and N. Higson, A second adjoint theorem for $\textrm{SL}(2, \mathbb{R})$* J.F. Dat, A functoriality principle for blocks of $p$adic linear groups* A. David, Poids de Serre dans la conjecture de BreuilMezard* N. Imai and T. Tsushima, Affinoids in LubinTate surfaces with exponential full level two* J. Lin, An automorphic variant of the Deligne conjecture* C. Moeglin and D. Renard, Paquets d'Arthur des groupes classiques complexes* A. Moussaoui, Proof of the AubertBaumPlymenSolleveld conjecture for split classical groups* E. Nagel, From crystalline to unitary representations* A. Stasinski, Representations of $\textrm{GL}_N$ over finite local principal ideal rings: An overview* J. Tymoczko, The geometry and combinatorics of Springer fibers.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA247 .A627 2017  Unknown 