로그인
ACTIVITIES
Preprints
Home > Activities > Basic Research > Preprints
    Title      l  ON THE REGULARIZED IMAGINARY DOI-NAGANUMA LIFTING
    Author   l  SEOKHO JIN* AND SUBONG LIM
    Date   l  2014-02-27
    Category   l  ASARC-Preprint-14-05
    Download    l 1393550338_0.660199.pdf  
Abstract. Asai and Friedberg studied the imaginary Doi-Naganuma lifting which sends
elliptic modular forms to automorphic forms over an imaginary quadratic eld. In this
paper we extend this lifting to weak Maass forms by using regularized integral. We
construct an automorphic object with singularities on the quadratic upper half-plane H1
by the regularized theta lifting of a weak Maass form. We also give the convergence
region and describe its singularity type. Finally we compute the Fourier coecients of
the lifted form explicitly and present the case of Poincare series as an example.

Keyword

년도별 리스트보기 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008
File Title Authors Date Category
 On some first sign change problems of modular forms Seokho Jin 2014-11-28 ASARC-Preprint
14-10
 Geometric properties of projective manifolds of small degree Sijong Kwak, Jinhyung Park 2014-09-03 ASARC-Preprint
14-09
 ON ARITHMETIC PROPERTIES OF THE p-UNITS SOOGIL SEO 2014-08-29 ASARC-Preprint
14-08
 Geometric properities of projective manifolds of small degree Sijong Kwak and Jinhyung Park 2014-03-06 ASARC-Preprint
14-07
 Periodic Hamiltonian flows with almost minimality conditions Jin Hong Kim 2014-02-28 ASARC-Preprint
14-06
 ON THE REGULARIZED IMAGINARY DOI-NAGANUMA LIFTING SEOKHO JIN* AND SUBONG LIM 2014-02-27 ASARC-Preprint
14-05
 THE NUMBER OF B3-SETS OF A GIVEN CARDINALITY DOMINGOS DELLAMONICA JR., YOSHIHARU KOHAYAKAWA, SANG JUNE LEE, VOJTECH RODL, AND WOJCIECH SAMOTIJ 2014-02-10 ASARC-Preprint
14-04
 On a generalization of Hirzebruch's theorem to Bott towers Jin Hong Kim 2014-02-06 ASARC-Preprint
14-03
 NUMBER OF NODAL DOMAINS OF EIGENFUNCTIONS ON NON-POSITIVELY CURVED SURFACES WITH CONCAVE BOUNDARY JUNEHYUK JUNG AND STEVE ZELDITCH 14-01-21 ASARC-Preprint
2014-02
 Quantitative quantum ergodicity and the nodal domains of Maass-Hecke cusp forms Junehyuk Jung 2014-01-10 ASARC-Preprint
14-01
 Fourier-Mukai transformation on algebraic cobordism Anandam Banerjee, Thomas Hudson 2013-12-09 ASARC-Preprint
13-13
 On numerical equivalence for algebraic cobordism Anandam Banerjee, Jinhyun Park 2013-12-09 ASARC-Preprint
13-12
 UNIVERSALITY OF RANDOM GRAPHS FOR GRAPHS OF MAXIMUM DEGREE TWO JEONG HAN KIM AND SANG JUNE LEE 2013-10-24 ASARC-Prepint
13-11
 NUMBER OF NODAL DOMAINS AND SINGULAR POINTS OF EIGENFUNCTIONS OF NEGATIVELY CURVED SURFACES WITH AN ISOMETRIC INVOLUTION JUNEHYUK JUNG AND STEVE ZELDITCH 2013-10-21 ASARC-Prepint
13-10
 ON THE NUMBER OF B_h-SETS DOMINGOS DELLAMONICA JR., YOSHIHARU KOHAYAKAWA, SANG JUNE LEE, VOJTECH RODL, AND WOJCIECH SAMOTIJ 2013-10-08 ASARC-Prepint
13-09
 A Thom-Porteous formula for connective K-theory using algebraic cobordism THOMAS HUDSON 2013-10-02 ASARC-Prepint
13-08
 Semi-topologization in motivic homotopy theory and applications Amalendu Krishna and Jinhyun Park 2013-09-30 ASARC-Prepint
13-07
 ON THE TATE MODULE OF A NUMBER FIELD SOOGIL 2013-09-12 ASARC-Prepint
13-06
 ON THE CONJECTURES OF GROSS AND LEOPOLDT SOOGIL SEO 2013-09-12 ASARC-Prepint
13-05
 On the free rank of abelian groups acting freely on products of spheres Jin Hong Kim 2013-09-06 ASARC-Prepint
13-04
123456