Abstracts and Summaries of Reports by Participants and Observers1975 - Automorphic forms - 221 pages |
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Page 6
... subgroup of K2n + 19 • The precise definition of R ( n ) is due to 2n Borel , who earlier had shown that Kan is finite , and that the torsion free subgroup of K2n + 10 O has rank d ( for n even and positive ) . More- over , Borel has ...
... subgroup of K2n + 19 • The precise definition of R ( n ) is due to 2n Borel , who earlier had shown that Kan is finite , and that the torsion free subgroup of K2n + 10 O has rank d ( for n even and positive ) . More- over , Borel has ...
Page 38
... subgroup 4 Proposition 2 If r * is any subgroup of r with finite index , then r = ^。г * holds . [ z ww ༤ For each THC , put [ = { « [ ; & t = 7 } Then ( 1 ) implies ≈ 2 , Define H by H = { te Hc ; T≈z ) . Then His a - stable dense ...
... subgroup 4 Proposition 2 If r * is any subgroup of r with finite index , then r = ^。г * holds . [ z ww ༤ For each THC , put [ = { « [ ; & t = 7 } Then ( 1 ) implies ≈ 2 , Define H by H = { te Hc ; T≈z ) . Then His a - stable dense ...
Page 43
The following numerical example is obtained from the principal congruence subgroup mod √6 of the group of units of ... subgroups [ * of ( 5 ) with finite indices , where T- [ P ) - { X + [ 1 ] + 8 = 1 ( mod √602 ] ) , N ( 8 ) -1 } ...
The following numerical example is obtained from the principal congruence subgroup mod √6 of the group of units of ... subgroups [ * of ( 5 ) with finite indices , where T- [ P ) - { X + [ 1 ] + 8 = 1 ( mod √602 ] ) , N ( 8 ) -1 } ...
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1817 LIBRARIES abelian algebraic curves arithmetic assume automorphic forms automorphic representation common eigen functions congruence relation conjecture conjugate Corollary corresponding coset cusp forms defined denote Dirichlet series Eisenstein series element Euler product exists extension f₁ F₂ finite forms of weight formula Fourier coefficients Fourier expansion Frobenius function field functional equation Galois group GL₂ Hecke differential Hecke operators Hilbert modular Igusa integer irreducible isomorphic K₂ Lemma Let F Math matrix MICHIGAN modular forms modular functions modulo multiplicative multiplier system number field number theory obtain p-adic L-functions points positive integer prime proof Proposition proved quadratic field quaternion algebra quotient rational number representation of G residue field resp respect satisfies Shimura Shimura varieties space subfield subgroup subspace supersingular Theorem theta series trace transformation trivial UNIV UNIVERSITY unramified zeta functions