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 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.
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(source: Nielsen Book Data) 9781138495784 20190520
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QA247 .S5725 2019  Unavailable Ask at circulation desk 
2. 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) 9780691181370 20190415
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Shelved by Series title NO.198  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.
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(source: Nielsen Book Data) 9781470449001 20190423
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QA1 .R33 NO.129  Unavailable In process Request 
 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) 9781470434915 20180813
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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.
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(source: Nielsen Book Data) 9781108424943 20180813
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QA242 .C67 2018  Unknown 
 Cham, Switzerland : Springer, [2018]
 Description
 Book — xiv, 431 pages : illustrations (some color) ; 24 cm.
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Shelved by Series title V.2213  Unknown 
7. 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) 9781786344717 20180319
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QA241 .H4845 2018  Unknown 
 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.
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(source: Nielsen Book Data) 9781107187733 20190121
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QA565 .O38 2018  Unknown 
9. 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.
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(source: Nielsen Book Data) 9781470447809 20190129
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QA3 .A4 V.236  Unknown 
10. 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) 9781470443986 20181112
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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) 9781470419912 20180813
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QA567.2 .M63 N86 2018  Unknown 
12. 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) 9781470426859 20180306
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Shelved by Series title NO.1194  Unknown 
13. 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) 9783319477787 20170626
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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) 9781470428105 20170530
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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) 9781470435738 20170717
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QA247 .A627 2017  Unknown 
 Buium, Alexandru, 1955 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — x, 344 pages ; 27 cm.
 Summary

 Algebraic backgroundClassical differential geometry revisitedArithmetic differential geometry: GeneralitiesArithmetic differential geometry: The case of $GL_n$Curvature and Galois groups of Ehresmann connectionsCurvature of Chern connectionsCurvature of LeviCivita connectionsCurvature of Lax connectionsOpen problemsBibliographyIndex.
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(source: Nielsen Book Data) 9781470436230 20170731
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QA3 .A4 V.222  Unknown 
17. From groups to geometry and back [2017]
 Climenhaga, Vaughn, 1982 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xix, 420 pages ; 22 cm.
 Summary

 * Elements of group theory* Symmetry in the Euclidean world: Groups of isometries of planar and spatial objects* Groups of matrices: Linear algebra and symmetry in various geometries* Fundamental group: A different kind of group associated to geometric objects* From groups to geometric objects and back* Groups at large scale* Hints to selected exercises* Suggestions for projects and further reading* Bibliography* Index.
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(source: Nielsen Book Data) 9781470434793 20170424
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QA174.2 .C55 2017  Unknown 
18. From natural numbers to quaternions [2017]
 Von den natürlichen Zahlen zu den Quaternionen. English
 Kramer, Jürg, 1956 author.
 Cham, Switzerland : Springer, [2017]
 Description
 Book — xviii, 277 pages ; 23 cm.
 Summary

 Introduction
 I The Natural Numbers
 II The Integers
 III The Rational Numbers
 IV The Real Numbers
 V The Complex Numbers
 VI Hamilton's Quaternions
 Solutions to Exercises
 Selected Literature
 Index.
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QA241 .K73 2017  Unknown 
 Bringmann, Kathrin, author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xv, 391 pages : illustrations ; 27 cm.
 Summary

 Background: Elliptic functionsTheta functions and holomorphic Jacobi formsClassical Maass formsHarmonic Maass forms and mock modular forms: The basicsDifferential operators and mock modular formsExamples of harmonic Maass formsHecke theoryZwegers' thesisRamanujan's mock theta functionsHolomorphic projectionMeromorhic Jacobi formsMock modular Eichlershimura theoryRelated automorphic formsApplications: Partitions and unimodal sequencesAsymptotics for coefficients of modulartype functionsHarmonic Maass forms as arithmetic and geometric generating functionsShifted convolution $L$functionsGeneralized Borcherds productsElliptic curves over $\mathbb{Q}$Representation theory and mock modular formsQuantum modular formsRepresentations of mock theta functionsBibliographyIndex.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781470419448 20180306
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QA1 .A5225 V.64  Unknown 
20. An illustrated theory of numbers [2017]
 Weissman, Martin H., 1976 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xv, 323 pages ; 29 cm
 Summary

 Seeing arithmeticFoundations: The Euclidean algorithmPrime factorizationRational and constructible numbersGaussian and Eisenstein integersModular arithmetic: The modular worldsModular dynamicsAssembling the modular worldsQuadratic residuesQuadratic forms: The topographDefinite formsIndefinite formsIndex of theoremsIndex of termsIndex of namesBibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781470434939 20171009
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QA241 .W354 2017  Unknown 