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Further refinements of the GL(2) converse theorem
Author(s) -
Booker Andrew R.,
Krishnamurthy M.
Publication year - 2013
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdt031
Subject(s) - converse , mathematics , converse theorem , statement (logic) , pure mathematics , eisenstein series , series (stratigraphy) , automorphic form , modular form , geometry , linguistics , philosophy , paleontology , biology
We improve the results of Booker and Krishnamurthy ( Compos. Math. 147 (2011) 669–715) by allowing restricted sets of poles among the unramified twists. This allows for a clean statement of the GL(2) converse theorem which includes all cases of Eisenstein series.