We give a parametrization of the possible Serre invariants ðN; k; nÞ of modular mod c Galois representations of the exceptional types A 4 ; S 4 ; A 5 ; in terms of local data attached to the fields cut out by the associated projective representations. We show how this result combined with certain gl
On the Local Langlands Correspondence mod ℓ
✍ Scribed by Chandrashekhar Khare
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 113 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0022-314X
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📜 SIMILAR VOLUMES
This paper is devoted to analyze a conjecture in D-optimal designs proposed by Bora-Senta and Moyssiadis [An algorithm for finding exact D-and A-optimal designs with n observations and k two-level factors in the presence of autocorrelated errors, J. Combin. Math. Combin. Comput. 30 (1999) 149-170] i
Let a be a positive integer with aa1 and Q a ðx; k; lÞ be the set of primes ppx such that the residual order of a in Z=pZ Â is congruent to l mod k: It seems that no one has ever considered the density of Q a ðx; k; lÞ for la0 when kX3: In this paper, the natural densities of Q a ðx; 4; lÞ ðl ¼ 0; 1
Let a be a positive integer which is not a perfect hth power with hX2; and Q a ðx; 4; lÞ be the set of primes ppx such that the residual order of a ðmod pÞ in Z=pZ Â is congruent to l modulo 4. When l ¼ 0; 2; it is known that calculations of xQ a ðx; 4; lÞ are simple, and we can get their natural de