Last edited by Akirg
Friday, July 17, 2020 | History

4 edition of Eigenvalues of the Laplacian for Hecke triangle groups found in the catalog.

# Eigenvalues of the Laplacian for Hecke triangle groups

## by Dennis A. Hejhal

Written in English

Subjects:
• Selberg trace formula.,
• Automorphic functions.,
• Eigenvalues.,
• Laplacian operator.

• Edition Notes

Classifications The Physical Object Other titles Hecke triangle groups. Statement Dennis A. Hejhal. Series Memoirs of the American Mathematical Society,, no. 469 LC Classifications QA3 .A57 no. 469, QA241 .A57 no. 469 Pagination vi, 165 p. : Number of Pages 165 Open Library OL1705590M ISBN 10 0821825291 LC Control Number 92006943

Project Euclid - mathematics and statistics online. Featured partner The Tbilisi Centre for Mathematical Sciences. The Tbilisi Centre for Mathematical Sciences is a non-governmental and nonprofit independent academic institution founded in November in Tbilisi, general aim of the TCMS is to facilitate new impetus for development in various areas of mathematical sciences in Georgia. M. Newman and S. Pierce Bounded matrix groups Charles A. Akemann and Joel Anderson and Gertk Pedersen Triangle inequalities in operator Jr. and Thomas D. Morley Eigenvalues of the Laplacian of a graph Bob Grone An inequality for the second.

We prove Turner’s conjecture, which describes the blocks of the Hecke algebras of the symmetric groups up to derived equivalence as certain explicit Turner double algebras. Turner doubles are Schur- algebra -like local’ objects, which replace wreath products of Brauer tree algebras in the context of the Broué abelian defect group. Eureka (University of Cambridge magazine)-- EURO Gold Medal-- Eurocomb-- European Chapter on Combinatorial Optimization-- European Congress of Mathematics-- European Girls' Mathematical Olympiad-- European Institute for Statistics, Probability, Stochastic Operations Research and its Applications-- European Journal of Combinatorics-- European.

On the other hand, what I really had in mind is the application of Hecke operators and bounds for their eigenvalues as explained in Sarnak's book "Some applications of modular forms". Note that bounds for Hecke operators are closely related to the spectral gap for various groups with arithmetic origin which is in turn related to Helfgott's. Eun-Young Lee The off-diagonal block of a PPT matrix S. Pirzada and Hilal A. Ganie On the Laplacian eigenvalues of a graph and Laplacian energy Pudji Astuti and Harald K. Wimmer Hyperinvariant subspaces of locally nilpotent linear transformations.

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### Eigenvalues of the Laplacian for Hecke triangle groups by Dennis A. Hejhal Download PDF EPUB FB2

Foreword --I. Eigenvalues of the Laplacian for Hecke triangle groups ; Introduction and preliminary remarks --The procedure in a nutshell --Some theoretical difficulties --Coefficient relations for N = 4 and 6 --"Odd" eigenvalues for N = 4, 5, 6, and 7 --"Even" eigenvalues for N = 4, 5, 6, and 7 --Some examples --Some remarks about pseudo cusp.

Foreword I. Eigenvalues of the Laplacian for Hecke triangle groups II. (Reprint of) Eigenvalues of the Laplacian for $\mathrm {PSL}(2,\mathbf {Z})$: Some new results and computational techniques. Series Title: Memoirs of the American Mathematical Society, no.

Other Titles: Hecke triangle groups. Responsibility: Dennis A. Hejhal. Title (HTML): Eigenvalues of the Laplacian for Hecke Triangle Groups Author(s) (Product display): Dennis A.

Hejhal Book Series Name: Memoirs of the American Mathematical Society. D.A. Hejhal, On eigenvalues of the Laplacian for Hecke triangle groups, in Zeta Functions in Geometry (edited by N. Kurokawa and T. Sunada), Adv.

Studies in Cited by: In this paper we extend the transfer operator approach to Selberg's zeta function for cofinite Fuchsian groups to the Hecke triangle groups G_q, q=3,4, which are non-arithmetic for q \not= 3,4,6.

Möller and A. Pohl, Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant, Ergodic Theory Dynam.

Systems, 33 (), – doi: /S Google Scholar [25] T. Morita, Markov systems and transfer operators associated with cofinite Fuchsian groups, Ergodic Theory. Eigenvalues of the Laplacian for Hecke Triangle Groups.

Amer Mathematical Society. Dennis A. Hejhal. Regular B-Groups, Degenerating Riemann Surfaces, and Spectral Theory. A search query can be a title of the book, a name of the author, ISBN or anything else.

Eigenvalues of the Laplacian for Hecke triangle groups, Mem. Amer. Book. Jan ; we compute to over decimal places the Laplacian and Hecke eigenvalues. This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow.

Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also. Apostol, Modular Functions and Dirichlet Series in Number Theory, Springer-Verlag, 2. Arakawa, Shimura correspondence for Maass wave forms and Selberg zeta functions, Proceedings of the conference Automorphic forms and representations of algebraic groups over local fields'' (Hiroshi Saito and Tetusya Takahashi, eds.), RIMS Kyoto Univ.,pp.

On Eigenfunctions of the Laplacian for Hecke Triangle Groups. Eigenvalues of the Laplacian for Bianchi Groups. *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook.

Only valid for books with an ebook version. 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.

Dennis A. Hejhal, Eigenvalues of the Laplacian for Hecke triangle groups, Roger Kraft, Intersections of thick Cantor sets, Randolph James Schilling, Neumann systems for the algebraic AKNS problem, Shari A. Prevost, Vertex algebras and integral bases for the enveloping algebras of affine Lie algebras, Written for mathematicians working with the theory of graph spectra, this book explores more than inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix.

and Hecke triangle groups and OCR Output cocompact but cofinite arithmetic groups, like Picard group PSL(2, Z[i]) included as a reference.

The algorithm can be generalized to other non spectrum of the Laplacian be simple. Examples of the numerical data are Ramanujan—Peterss0n, Sato—Tate, and the conjecture that the discrete. Coyle Daniel: The Culture Code: The Secrets of Highly Successful Groups.

THE NEW YORK TIMES BESTSELLER'A marvel of insight and practicality' Charles Duhigg, author of The Power of Habit How do you build and sustain a great team?The Culture Code reveals the secrets of some of the best teams in the world - from Pixar to Google to US Navy SEALs - explaining the three skills such groups have.

Sets, Groups, and Mappings Termín Eigenvalues Of The Laplacian For Hecke Triangle Groups Termín dodání v detailu This book is derived from lecture notes for a course on Fourier analysis for engineering and science Skladem u dodavatele.

Fractal Weyl bounds and Hecke triangle groups. Electronic Research Announcements,doi: /era [12] Xiaolong Han, Guozhen Lu. Regularity of solutions to an integral equation associated with Bessel potential. lie-groups × 8 finite-groups × 8 probability-distributions × 8 sheaf-theory × 8 schemes × 8 etale-cohomology × 8 prime-numbers × 7 sequences-and-series × 7 operator-theory × 7 higher-category-theory × 7 algebraic-curves × 7 proof-theory × 7 algorithms × 6.

[59] Eigenvalues of the Laplacian for Hecke triangle groups, American Mathematical Society Memoirs (), pp. [60] On polynomial approximations to Z(t), in Proceedings of the Amalﬁ Conference on Analytic Number Theory (ed.

by E. Bombieri, A. Perelli, S. Salerno, U. Zannier), Universita di Salerno,pp. Small eigenvalues of the Laplacian for algebraic In our previous paper we conjectured that this category is equivalent to the category of Hecke eigen-D-modules on the two minimal co-volume lattices of the isometry group of hyperbolic $3$-space that contain a finite spherical triangle group.

These two groups are arithmetic and are in.[59] Eigenvalues of the Laplacian for Hecke triangle groups, American Mathematical Society Memoirs (), pp. [60] On polynomial approximations to Z(t), in Proceedings of the Amal Conference on Analytic Number Theory (ed.

by E. Bombieri, A. Perelli, S. Salerno, U. Zannier), Universit a di Salerno,pp. Eigenvalues of the Laplacian for Hecke Triangle Groups (Memoirs of the American Mathematical Society) Jul 1, by Dennis A.

Hejhal Paperback.