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Title Automorphic forms : research in number theory from Oman / Bernhard Heim, Mehiddin Al-Baali, Tomoyoshi Ibukiyama, Florian Rupp, editors.
Imprint Cham : Springer, [2014]

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Series Springer proceedings in mathematics & statistics ; volume 115
Springer proceedings in mathematics & statistics ; v. 115.
Subject Automorphic forms.
Number theory.
Alt Name Heim, Bernhard, 1964-
Al-Baali, Mehiddin,
Ibukiyama, Tomoyoshi,
Rupp, Florian, 1978-
Description 1 online resource (xiv, 242 pages) : illustrations (some color).
Bibliography Note Includes bibliographical references.
Contents Preface -- On formal series of Jacobi forms and Borcherds products -- Finite or Infinite Number of Solutions of Polynomial Congruences in two Positive Integer Variables -- On the genus version of the basis problem II: The case of oldforms -- Restrictions of Jacobi Forms of Several Variables with special emphasis on Quaternionic Jacobi Forms -- Additive and multiplicative lifting properties of the Igusa modular form -- On the special values of certain L-series related to half-integral weight modular forms -- On explicit dimension formulas for spaces of Siegel cusp forms of degree two and their applications -- Borcherds lift on the paramodular group of level 3 -- On the proportion of quadratic twists for non-vanishing and vanishing central values of L-functions attached to primitive forms -- On the Existence of Hermitian Self-Dual Extended Abelian Group Codes -- On p-adic properties of Siegel modular forms -- Bessel periods of theta lifts to GSp(1,1) and central values of some L-functions of convolution type -- Intersections of two walls of the Gottschling fundamental domain of the Siegel modular group of genus two -- Non-vanishing of L-functions associated to cusp forms of half-integral weight -- The Restriction of Octonionic Theta Constants to the Quaternionic Half-space -- Hermitian modular forms of degree 2 over the Eisenstein integers.
Summary This edited volume presents a collection of carefully refereed articles covering the latest advances in Automorphic Forms and Number Theory, that were primarily developed from presentations given at the 2012 "International Conference on Automorphic Forms and Number Theory," held in Muscat, Sultanate of Oman. The present volume includes original research as well as some surveys and outlines of research altogether providing a contemporary snapshot on the latest activities in the field and covering the topics of: Borcherds productsCongruences and CodesJacobi formsSiegel and Hermitian modular for.
Note Online resource; title from PDF title page (EBSCO, viewed December 2, 2014).
ISBN 9783319113524 (electronic bk.)
3319113526 (electronic bk.)
3319113518 (print)
9783319113517 (print)
ISBN/ISSN 10.1007/978-3-319-11352-4
OCLC # 896824796
Additional Format Printed edition: 9783319113517