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Sayfa 681
The modular form F is called a cusp form if the coefficients f,\i(A) of the expansion
(2.5) satisfy the conditions fM(A) = 0 for all M ... It follows that each of these theta
series satisfies condition (i) and, by part 1) of Theorem 1, condition (iii) (see the ...
The modular form F is called a cusp form if the coefficients f,\i(A) of the expansion
(2.5) satisfy the conditions fM(A) = 0 for all M ... It follows that each of these theta
series satisfies condition (i) and, by part 1) of Theorem 1, condition (iii) (see the ...
Sayfa 1022
Thus, the numbers of the form (9) and only these numbers (up to a common
constant multiple) satisfy system (8), and j=0 ... A differential operator satisfies the
Huygens principle (the strong Huygens principle) if it has a fundamental solution
...
Thus, the numbers of the form (9) and only these numbers (up to a common
constant multiple) satisfy system (8), and j=0 ... A differential operator satisfies the
Huygens principle (the strong Huygens principle) if it has a fundamental solution
...
Sayfa 1023
Next, since C" satisfies the Huygens principle, the codimension of the support of
the fundamental solution Ek is at least 1 if 1+ j < H for all j = 0, . . . , k. It remains to
note that differentiation cannot make the dimension of the support larger. The "if ...
Next, since C" satisfies the Huygens principle, the codimension of the support of
the fundamental solution Ek is at least 1 if 1+ j < H for all j = 0, . . . , k. It remains to
note that differentiation cannot make the dimension of the support larger. The "if ...
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A Brudnyi and D Kinzebulatov Uniform subalgebras of L00 on the unit | 495 |
N A Vavilov Can one see the signs of structure constants? | 519 |
Waldemar Holubowski A new measure of growth for groups and algebras | 545 |
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Abelian Ass(M assume Aut(C automorphism Chern Chevalley groups coefficients cohomology commutative ring condition consider construction contains Corollary corresponding curve cyclotomic scheme defined definition deformations degree denote dessin diagram divisor elementary elements embedding endomorphism English transl equation exists extension fiberwise field Figure finite formula function functor Galois gauge equivalence graded modules group G Hecke operators Hence homogeneous homology homomorphism ht(p Huygens principle implies inequality integer inverse irreducible character isomorphism Lemma Lie algebras line bundle linear forms Math Mathematical Mathematics Subject Classification matrix maximal Mobius module morphism multiplication nonzero normal subgroup notation obtain operator p-group paper permutation points prime ideal pro-p group profinite profinite group proof of Theorem Proposition prove quadratic relations representation respectively result Riemann-Hilbert problem root S-ring satisfies semigroup sequence simple group space statement structure subset subspace suffices Suppose Theorem theory trivial vector wreath product