Spirometry
发表于 2025-3-23 13:26:34
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不给啤
发表于 2025-3-23 16:19:27
osition is systematic, with each chapter focusing on a parti.For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics.
克制
发表于 2025-3-23 20:10:17
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PHAG
发表于 2025-3-24 00:38:14
Wieland Appelfeller,Carsten Feldmanne was a correspondence between certain n-dimensional Galois representations, that is, representations into GL. (ℂ), and admissible representations of GL. (.) or automorphic representations of GL.(A) . For general G we understand what to replace the automorphic side with: admissible representations of . or automorphic rep-resentations of .(A).
预知
发表于 2025-3-24 03:39:01
Artin , Functions, induces on the residue field of any prime of . above . the automorphism . ↦ ...) The . (Kronecker 1853, Weber 1886) asserts that every 1-dimensional character of .. = Gal(̄ℚ/ℚ) is of the form .. for an appropriate ..
BRACE
发表于 2025-3-24 07:08:36
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接合
发表于 2025-3-24 11:52:22
Langlands Conjectures for GL,,h this invariant. For one dimensional . this idea was fundamental for the analytic approach to abelian class field theory and the understanding of ... To obtain a more complete understanding of .. we would hope for a more complete understanding of the . for higher dimensional representations.
Rustproof
发表于 2025-3-24 18:09:12
Textbook 2004ields of mathematics. ..Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program. The exposition is sytematic, with each chapter focusing on a particular topic devoted to special cases of the program, and accessible to graduate students and researchers in the field. .
Aviary
发表于 2025-3-24 20:11:09
Textbook 2004ith applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other f
tackle
发表于 2025-3-25 02:15:06
D. Bump,J. W. Cogdell,S. S. Kudla,Joseph BernsteinSelf-contained presentation.A variety of areas in number theory from the classical zeta function up to the Langlands program are covered.Exposition is systematic, with each chapter focusing on a parti