Automorphic forms : research in number theory from Oman
著者
書誌事項
Automorphic forms : research in number theory from Oman
(Springer proceedings in mathematics & statistics, v. 115)
Springer, c2014
大学図書館所蔵 全8件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
"... on 18-22 February 2012, the "International Conference on Automorphic Forms and Number Theory" was held in Muscat, Oman"--Pref.
Includes bibliographical references and indes
Other editors: Mehiddin Al-Baali, Tomoyoshi Ibukiyama, Florian Rupp
内容説明・目次
内容説明
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 products
Congruences and Codes
Jacobi forms
Siegel and Hermitian modular forms
Special values of L-series
Recently, the Sultanate of Oman became a member of the International Mathematical Society. In view of this development, the conference provided the platform for scientific exchange and collaboration between scientists of different countries from all over the world. In particular, an opportunity was established for a close exchange between scientists and students of Germany, Oman, and Japan. The conference was hosted by the Sultan Qaboos University and the German University of Technology in Oman.
目次
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.
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