1  13
2. Some applications of modular forms [1990]
 Sarnak, Peter.
 Cambridge ; New York : Cambridge University Press, 1990.
 Description
 Book — x, 111 p. : ill. ; 24 cm.
 Summary

 Introduction
 1. Modular forms
 2. Invariant means on L (Sn)
 3. Ramanujan graphs
 4. Bounds for Fourier coefficients of 1/2integral weight
 Bibliogrpahy
 Index.
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA243 .S27 1990  Unknown 
QA243 .S27 1990  Unknown 
3. Prime geodesic theorems [1980]
 Sarnak, Peter.
 1980.
 Description
 Book — iv, 97 leaves, bound : 1 ill. ; 28 cm.
 Online
SAL3 (offcampus storage), Special Collections
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3781 1980 S  Available 
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3781 1980 S  Inlibrary use 
 Katz, Nicholas M., 1943
 Providence, R.I. : American Mathematical Society, c1999.
 Description
 Book — xi, 419 p. : ill. ; 25 cm.
 Summary

 Statements of the main results Reformulation of the main results Reduction steps in proving the main theorems Test functions Haar measure Tail estimates Large $N$ limits and Fredholm determinants Several variables Equidistribution Monodromy of families of curves Monodromy of some other families GUE discrepancies in various families Distribution of lowlying Frobenius eigenvalues in various families Appendix AD: Densities Appendix AG: Graphs References.
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QA1 .A5225 V.45  Unknown 
 Davidoff, Giuliana P.
 New York : Cambridge University Press, 2003.
 Description
 Book — 1 online resource (viii, 144 pages) : illustrations
 Summary

 An overview
 1. Graph theory
 2. Number theory
 3. PSL2(q)
 4. The graphs Xp, q
 Appendix A. 4regular graphs with large girth
 Index
 Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Davidoff, Giuliana P.
 Cambridge, UK ; New York : Cambridge University Press, 2003.
 Description
 Book — viii, 144 p. : ill. ; 24 cm.
 Summary

 An overview
 1. Graph theory
 2. Number theory
 3. PSL2(q)
 4. The graphs Xp, q
 Appendix A. 4regular graphs with large girth
 Index
 Bibliography.
 (source: Nielsen Book Data)
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA166 .D35 2003  Unknown 
7. Automorphic forms and applications [2007]
 Providence, R.I. : American Mathematical Society : Institute for Advanced Study, c2007.
 Description
 Book — xiv, 427 p. : ill. (some col.) ; 27 cm.
 Summary

 Introduction Armand Borel, Automorphic Forms on Reductive Groups: Automorphic forms on reductive groups Bibliography L. Clozel, Spectral Theory of Automorphic Forms: Spectral theory of automorphic forms Mostly SL(2) The spectral decomposition of $L^2(G(\mathbb{Q})\backslash G(\mathbb{A}))$: Arthur's conjectures Known bounds for the cuspidal spectrum and the BurgerSarnak method Applications: Control of the spectrum All reductive adelic groups are tame Bibliography James W. Cogdell, $L$functions and Converse Theorems for $GL_n$: $L$functions and converse theorems for $GL_n$ Fourier expansions and multiplicity one Eulerian integrals for $GL_n$ Local $L$functions Global $L$functions Converse theorems Converse theorems and functoriality Bibliography Philippe Michel, Analytic Number Theory and Families of Automorphic $L$functions: Analytic number theory and families of automorphic $L$functions Analytic properties of individual $L$functions A review of classical automorphic forms Large sieve inequalities The subconvexity problem Some applications of subconvexity Bibliography Freydoon Shahidi, LanglandsShahidi Method: LanglandsShahidi Method Basic concepts Eisenstein series and $L$functions Functional equations and multiplicativity Holomorphy and boundedness
 Applications Bibliography Audrey Terras, Arithmetical Quantum Chaos: Arithmetical quantum chaos Finite models Three symmetric spaces Bibliography David A. Vogan, Jr., Isolated Unitary Representations: Isolated unitary representations Bibliography WenChing Winnie Li, Ramanujan Graphs and Ramanujan Hypergraphs: Ramanujan graphs and Ramanujan hypergraphs Ramanujan graphs and connections with number theory Ramanujan hypergraphs Bibliography.
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Science Library (Li and Ma)
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QA353 .A9 A92 2007  Unknown 
 Papers. Selections
 Lax, Peter D.
 New York : Springer, c2005.
 Description
 Book — xviii, 591 p. : ill.
 Lax, Peter D.
 New York : Springer, c2005.
 Description
 Book — xx, 617 p. : ill.
 AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on the Selberg Trace Formula and Related Topics (1984 : Bowdoin College)
 Providence, R.I. : American Mathematical Society, c1986.
 Description
 Book — ix, 554 p. ; 25 cm.
SAL3 (offcampus storage)
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QA241 .A48 1984  Available 
11. Extremal Riemann surfaces [1997]
 Providence, R.I. : American Mathematical Society, c1997.
 Description
 Book — x, 243 p. : ill. ; 26 cm.
 Summary

 Extremal geometries by P. Sarnak Extremal Riemann surfaces with a large number of systoles by P. S. Schaller On arithmetic genus 2 subgroups of triangle groups by N. Naatanen and T. Kuusalo Some lattices obtained from Riemann surfaces by M. Bernstein and N. A. Sloane Jacobian of the Picard curve by J. R. Quine Fermat's quartic curve, Klein's curve, and the tetrahedron by R. E. Rodriguez and V. GonzalezAguilera The splitting of some Jacobi varieties using their automorphism groups by J. X. Ries Riemann surfaces admitting large automorphism gorups by R. S. Kulkarni Number theory, theta identities, and modular curves by R. Brooks, H. M. Farkas, and I. Kra Uniformization of some quotients of modular curves by R. Brooks and Y. Kopeliovich Teichmuller disks and Veech's $\mathcal F$structures by C. J. Earle and F. P. Gardiner On the geometry and spectral asymptotics of degenerating hyperbolic three manifolds by J. Dodziuk and J. Jorgenson Differential equations for the quadratic periods of abelian differentials by D. Curtis and M. Tretkoff Zeta functions on $S^2$ by C. Morpurgo A minimum problem for heat kernels of flat tori by A. B. II.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
SAL3 (offcampus storage)
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QA333 .E96 1997  Available 
12. Selected works of Ilya PiatetskiShapiro [2000]
 Papers. Selections
 Pi͡atet͡skiĭShapiro, I. I. (Ilʹi͡a Iosifovich), 19292009
 Providence, R.I. : American Mathematical Society, c2000.
 Description
 Book — xxvi, 824 p. : ill. ; 26 cm.
 Summary

 Autobiographical papers: Etude on life and automorphic forms in the Soviet Union by I. PiatetskiShapiro Early papers in harmonic analysis and number theory: On the problem of uniqueness of the expansion of a function into a trigonometric series by I. I. PiatetskiShapiro On the distribution of prime numbers in sequences of the form $[f(n)]$ by I. I. PiatetskiShapiro An addition to the work "On the problem of uniqueness of the expansion of a function into a trigonometric series" by I. I. PiatetskiShapiro Early papers in harmonic analysis and number theory by P. Sarnak Automorphic functions and discrete groups: Abelian modular functions by I. I. PiatetskiiShapiro On an estimate of the dimension of the space of automorphic forms for certain types of discrete groups by I. I. PiatetskiiShapiro Discrete subgroups of the group of analytic automorphisms of the polycylinder and automorphic forms by I. I. PiatetskiShapiro Theory of representations and theory of automorphic functions by I. M. Gel'fand and I. I. PyateckiiSapiro Automorphic functions and representation theory by I. M. Gelfand and I. I. PjateckiiSapiro Automorphic functions and arithmetic groups by I. I. PjateckiiSapiro On reduction modulo a prime of fields of modular functions by I. I. PjateckiiSapiro Nonarithmetic groups in Lobachevsky spaces by M. Gromov and I. PiatetskiShapiro Automorphic functions and discrete groups by P. Sarnak Bounded homogeneous domains: Some questions of harmonic analysis in homogeneous cones by I. I. PiatetskiShapiro On a problem proposed by E. Cartan by I. I. PiatetskiiShapiro Classification of bounded homogeneous domains in $n$dimensional complex space by I. PyateckiiSapiro Bounded homogeneous domains in $n$dimensional complex space by I. PjatetskiiSapiro Regions of the type of the upper halfplane in the theory of functions of several complex variables by I. PjateckiiSapiro Classification and canonical realization of complex bounded homogeneous domains by E. B. Vinberg, S. G. Gindikin, and I. I. PjateckiiSapiro The work of PiatetskiShapiro on complex homogeneous bounded domains by S. Gindikin Applied Mathematics: Automatic control in biological systems by I. I. PyatetskiiShapiro, O. N. Stavskaya, and A. L. Toom PiatetskiShapiro's work in applied mathematics by J. Cogdell and S. Gindikin Algebraic geometry: A Torelli theorem for algebraic surfaces of type $K3$ by I. I. PjateckiiSapiro and I. R. Safarevic Interrelations between the Tate and Hodge conjectures for abelian varieties by I. I. PjateckiiSapiro The arithmetic of K3 surfaces by I. I. PjateckiiSapiro and I. R. Safarevic On the algebraic geometry papers of PiatetskiShapiro by P. Deligne Automorphic $L$functions: On the WeilJacquetLanglands theorem by I. I. PjateckijSapiro Euler subgroups by I. I. PjateckijSapiro Automorphic $L$functions of halfintegral weight by S. S. Gelbart and I. I. PiatetskiShapiro Tate theory for reductive groups and distinguished representations by I. PiatetskiShapiro Automorphic forms on GL(3) I by H. Jacquet, I. I. PiatetskiShapiro, and J. Shalika Automorphic forms on GL(3) II by H. Jacquet, I. I. PiatetskiShapiro, and J. Shalika Relevement cubique non normal by H. Jacquet, I. I. PiatetskiShapiro, and J. Shalika RankinSelberg convolutions by H. Jacquet, I. I. PiatetskiiShapiro, and J. A. Shalika $L$functions of automorphic forms on simple classical groups by I. PiatetskiShapiro and S. Rallis A cubic analogue of the cuspidal theta representations by S. J. Patterson and I. I. PiatetskiShapiro A new way to get Euler products by I. PiatetskiShapiro and S. Rallis $L$ functions for the group $G_2$ by I. PiatetskiShapiro, S. Rallis, and G. Schiffmann Converse theorems for GL$_n$ by J. W. Cogdell and I. I. PiatetskiShapiro The work of PiatetskiShapiro on $L$functions by J. Cogdell, S. Gelbart, and S. Rallis Theta lifts and applications to generalized Ramanujan conjectures: A counterexample to the "Generalized Ramanujan conjecture" for (quasi) split groups by R. Howe and I. I. PiatetskiShapiro Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture by I. PiatetskiShapiro On the SaitoKurokawa lifting by I. I. PiatetskiShapiro Poincare series for $SO(n, 1)$ by J.S. Li, I. PiatetskiShapiro, and P. Sarnak Unitarity and functoriality by J. W. Cogdell and I. I. PiatetskiShapiro Theta lifts and applications to generalized Ramanujan conjectures by R. Howe and P. Sarnak.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
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QA241 .P5 2000  Unknown 
 RamatGan, Israel : Gelbart Research Institute for Mathematical Sciences, Emmy Noether Research Institute, BarIlan University, c1995.
 Description
 Book — vii, 236 p. : ill. ; 24 cm.
 Online
Science Library (Li and Ma)
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QA1 .I9 V.8  Unknown 
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