例句與造句

1. For the case of cusp forms, each Hecke eigenform ( newform ) corresponds to a cuspidal representation.
2. A common example of an eigenform, and the only non-cuspidal eigenforms, are the Eisenstein series.
3. Examples of primitive functions include the Riemann zeta function and cuspidal automorphic representations that satisfy the Ramanujan conjecture are primitive.
4. What remains is the basic idea that representations in general are to be constructed by parabolic induction of cuspidal representations.
5. The Artin conjecture then follows immediately from the known fact that the L-functions of cuspidal automorphic representations are holomorphic.
6. It's difficult to find cuspidal in a sentence. 用cuspidal造句挺難的
7. The Chisini conjecture in algebraic geometry is a uniqueness question for morphisms of generic smooth projective surfaces, branched on a cuspidal curve.
8. The cuspidal edge corresponds to the polynomials with a triple root, and the self-intersection corresponds to the polynomials with two different repeated roots.
9. When the group is the general linear group \ operatorname { GL } _ 2, the cuspidal representations are directly related to cusp forms and Maass forms.
10. A consequence for thinking about representation theory is that cuspidal representations are the fundamental class of objects, from which other representations may be constructed by procedures of induction.
11. The strong multiplicity one theorem of and states that two cuspidal automorphic representations of the general linear group are isomorphic if their local components are isomorphic for all but a finite number of places.
12. The current formulation of the "'generalized Ramanujan conjecture "'is for a globally generic cuspidal automorphic representation of a connected reductive group, where the generic assumption means that the representation admits a Whittaker model.
13. In 1998 he received a Ph . D . from the Weizmann Institute of Science under Stephen Gelbart with thesis " Multiplicities of cuspidal representations of SL ( n ) and period integrals of truncated Eisenstein series ".
14. Langlands attached automorphic L-functions to these automorphic representations, and conjectured that every Artin L-function arising from a finite-dimensional representation of the Galois group of a number field is equal to one arising from an automorphic cuspidal representation.
15. A prominent example of her achievements in the former is her classification, obtained with Jean-Loup Waldspurger, of the non-cuspidal discrete factors in the decomposition into irreducible components of the spaces of square-integrable invariant functions on adelic general linear groups.
16. She was a recipient of the Jaff?prize of the French Academy of Sciences in 2004, " for her work, most notably on the topics of enveloping algebras of Lie algebras, automorphic forms and the classification of square-integrable representations of reductive classical p-adic groups by their cuspidal representations ".
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