Open AccessSwinnerton-Dyer type congruences for certain Eisenstein series
Author(s) -
Matthew Boylan
Publication year - 2001
Publication title -
contemporary mathematics - american mathematical society
Language(s) - English
Resource type - Reports
SCImago Journal Rank - 0.106
H-Index - 12
eISSN - 1098-3627
pISSN - 0271-4132
DOI - 10.1090/conm/291/04894
Subject(s) - congruence relation , mathematics , type (biology) , series (stratigraphy) , eisenstein series , pure mathematics , algebra over a field , modular form , geology , paleontology
We consider a normalized Eisenstein series of weight k on a con- gruence subgroup of type 0(N) with Nebentypus character which vanishes at all cusps of 0(N) inequivalent to the cusp at innit y. We determine con- ditions on N, k, , and an ideal a in certain number elds, under which their Fourier series are congruent to 1 (mod a).
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