منابع مشابه
IRREDUCIBLE CONGRUENCES OVER GF(p)
with coefficients belonging to the same field. Two irreducible m-ic congruences are said to belong to the same conjugate set if one of them can be transformed into the other by a transformation of G. The number of distinct irreducible congruences in a conjugate set will be referred to as the order of the conjugate set. Since the order of the group G is p(pi — l), it follows that the order of an...
متن کاملIrreducible Congruences over Gf ( 2 ) 0 )
In characterizing and determining the number of conjugate sets of irreducible congruences of degree m belonging to GF(p) relative to the group G(p) of linear fractional transformations with coefficients belonging to the same field, the case p = 2 has been consistently excluded from considerations. In this paper we consider the special case p = 2 and determine the number of conjugate sets of zzz...
متن کاملHigher congruences between modular forms
It is well-known that two modular forms on the same congruence subgroup and of the same weight, with coefficients in the integer ring of a number field, are congruent modulo a prime ideal in this integer ring, if the first B coefficients of the forms are congruent modulo this prime ideal, where B is an effective bound depending only on the congruence subgroup and the weight of the forms. In thi...
متن کاملHigher Congruences Between Modular Forms
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متن کاملOn Higher Congruences between Automorphic Forms
We prove a commutative algebra result which has consequences for congruences between automorphic forms modulo prime powers. If C denotes the congruence module for a fixed automorphic Hecke eigenform π0 we prove an exact relation between the p-adic valuation of the order of C and the sum of the exponents of p-power congruences between the Hecke eigenvalues of π0 and other automorphic forms. We a...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1897
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1897-00428-1