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The Resource Emerging Applications of Number Theory, edited by Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko, (electronic resource)
Emerging Applications of Number Theory, edited by Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko, (electronic resource)
Resource Information
The item Emerging Applications of Number Theory, edited by Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Emerging Applications of Number Theory, edited by Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging  providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications. Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory). This volume contains the contributed papers from that meeting and will be of interest to anyone intrigued by novel applications of modern numbertheoretical techniques
 Language

 eng
 eng
 Edition
 1st ed. 1999.
 Extent
 1 online resource (XIII, 697 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Trace formula for quantum integrable systems, latticepoint problem, and small divisors
 Thetalifts of Maass waveforms
 The transfer operator approach to Selberg’s zeta function and modular and Maass wave forms for PSL (2, ?)
 Chaos and deviation from uniform distribution: eigenfunction computation; applied modular arithmetic
 Logarithmic Sobolev techniques for random walks on graphs
 Eigenvalue statistics in quantum ideal gases
 Multifractal spectrum and Laplace spectrum
 Number theory and atomic densities
 Explicit formulas and oscillations
 Energy fluctuation analysis in integrable billiards in hyperbolic geometry
 On eigenfunctions of the Laplacian for Hecke triangle groups
 Eigenvalue spacings for regular graphs
 Classical limits of eigenfunctions for some completely integrable systems
 Does a quantum particle know the time ?
 Level spacings for Cayley graphs
 Eigenvalues of Ramanujan graphs
 Theta sums, Eisenstein series, and the semiclassical dynamics of a precessing spin
 Random walks on generalized Euclidean graphs
 Two proofs of Ihara’s theorem
 Playing billiards with microwaves — quantum manifestations of classical chaos
 Characters of the symmetric groups: formulas, estimates and applications
 Number theory and formal languages
 Expander graphs and amenable quotients
 Ramanujan hypergraphs and Ramanujan geometries
 Constructing errorcorrecting codes from expander graphs
 Multipath zeta functions of graphs
 Eigenvalues of the Laplacian for Bianchi groups
 A survey of discrete trace formulas
 List of Participants
 Program Schedule
 Afterword
 Isbn
 9781461215448
 Label
 Emerging Applications of Number Theory
 Title
 Emerging Applications of Number Theory
 Statement of responsibility
 edited by Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko
 Language

 eng
 eng
 Summary
 Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging  providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications. Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory). This volume contains the contributed papers from that meeting and will be of interest to anyone intrigued by novel applications of modern numbertheoretical techniques
 Dewey number
 512/.7
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 p6Te6AKlTvg
 40ESRSMf6VU
 _ML2h1Znzss
 OIYoHlk3yNs
 Image bit depth
 0
 Language note
 English
 LC call number
 QA241247.5
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Hejhal, Dennis A.
 Friedman, Joel.
 Gutzwiller, Martin C.
 Odlyzko, Andrew M.
 Series statement
 The IMA Volumes in Mathematics and its Applications,
 Series volume
 109
 http://library.link/vocab/subjectName

 Number theory
 Combinatorics
 Number Theory
 Combinatorics
 Label
 Emerging Applications of Number Theory, edited by Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references at the end of each chapters
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Trace formula for quantum integrable systems, latticepoint problem, and small divisors  Thetalifts of Maass waveforms  The transfer operator approach to Selberg’s zeta function and modular and Maass wave forms for PSL (2, ?)  Chaos and deviation from uniform distribution: eigenfunction computation; applied modular arithmetic  Logarithmic Sobolev techniques for random walks on graphs  Eigenvalue statistics in quantum ideal gases  Multifractal spectrum and Laplace spectrum  Number theory and atomic densities  Explicit formulas and oscillations  Energy fluctuation analysis in integrable billiards in hyperbolic geometry  On eigenfunctions of the Laplacian for Hecke triangle groups  Eigenvalue spacings for regular graphs  Classical limits of eigenfunctions for some completely integrable systems  Does a quantum particle know the time ?  Level spacings for Cayley graphs  Eigenvalues of Ramanujan graphs  Theta sums, Eisenstein series, and the semiclassical dynamics of a precessing spin  Random walks on generalized Euclidean graphs  Two proofs of Ihara’s theorem  Playing billiards with microwaves — quantum manifestations of classical chaos  Characters of the symmetric groups: formulas, estimates and applications  Number theory and formal languages  Expander graphs and amenable quotients  Ramanujan hypergraphs and Ramanujan geometries  Constructing errorcorrecting codes from expander graphs  Multipath zeta functions of graphs  Eigenvalues of the Laplacian for Bianchi groups  A survey of discrete trace formulas  List of Participants  Program Schedule  Afterword
 Dimensions
 unknown
 Edition
 1st ed. 1999.
 Extent
 1 online resource (XIII, 697 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461215448
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461215448
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089594
 (SSID)ssj0001296553
 (PQKBManifestationID)11986937
 (PQKBTitleCode)TC0001296553
 (PQKBWorkID)11353066
 (PQKB)10702287
 (SSID)ssj0000806056
 (PQKBManifestationID)12371663
 (PQKBTitleCode)TC0000806056
 (PQKBWorkID)10747816
 (PQKB)11146272
 (DEHe213)9781461215448
 (MiAaPQ)EBC3075812
 (EXLCZ)993400000000089594
 Label
 Emerging Applications of Number Theory, edited by Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references at the end of each chapters
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Trace formula for quantum integrable systems, latticepoint problem, and small divisors  Thetalifts of Maass waveforms  The transfer operator approach to Selberg’s zeta function and modular and Maass wave forms for PSL (2, ?)  Chaos and deviation from uniform distribution: eigenfunction computation; applied modular arithmetic  Logarithmic Sobolev techniques for random walks on graphs  Eigenvalue statistics in quantum ideal gases  Multifractal spectrum and Laplace spectrum  Number theory and atomic densities  Explicit formulas and oscillations  Energy fluctuation analysis in integrable billiards in hyperbolic geometry  On eigenfunctions of the Laplacian for Hecke triangle groups  Eigenvalue spacings for regular graphs  Classical limits of eigenfunctions for some completely integrable systems  Does a quantum particle know the time ?  Level spacings for Cayley graphs  Eigenvalues of Ramanujan graphs  Theta sums, Eisenstein series, and the semiclassical dynamics of a precessing spin  Random walks on generalized Euclidean graphs  Two proofs of Ihara’s theorem  Playing billiards with microwaves — quantum manifestations of classical chaos  Characters of the symmetric groups: formulas, estimates and applications  Number theory and formal languages  Expander graphs and amenable quotients  Ramanujan hypergraphs and Ramanujan geometries  Constructing errorcorrecting codes from expander graphs  Multipath zeta functions of graphs  Eigenvalues of the Laplacian for Bianchi groups  A survey of discrete trace formulas  List of Participants  Program Schedule  Afterword
 Dimensions
 unknown
 Edition
 1st ed. 1999.
 Extent
 1 online resource (XIII, 697 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461215448
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461215448
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089594
 (SSID)ssj0001296553
 (PQKBManifestationID)11986937
 (PQKBTitleCode)TC0001296553
 (PQKBWorkID)11353066
 (PQKB)10702287
 (SSID)ssj0000806056
 (PQKBManifestationID)12371663
 (PQKBTitleCode)TC0000806056
 (PQKBWorkID)10747816
 (PQKB)11146272
 (DEHe213)9781461215448
 (MiAaPQ)EBC3075812
 (EXLCZ)993400000000089594
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History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/EmergingApplicationsofNumberTheoryeditedby/Sc293dLNNw8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/EmergingApplicationsofNumberTheoryeditedby/Sc293dLNNw8/">Emerging Applications of Number Theory, edited by Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, Andrew M. Odlyzko, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>