Bibliography · Number Theory and Analysis

Automorphic Forms and Representations

Book Domain Context Number Theory and Analysis

Citation

Daniel Bump. (1997). Automorphic Forms and Representations. 55. Cambridge University Press.

Why this reference is included

Bump’s Automorphic Forms and Representations (1997), published by Cambridge University Press, sits in the program’s reference corpus as a standing technical source. Cited 2 times in Book II (Categorical Holomorphy), Part 10, Chapter BSD Bridge: Proto-Rationality in Split-Complex Regime, where the program draws on it in the context of “The L-function. Attached to E is a Dirichlet series [ L(E, s) = _n=1^∞ a_nn^s = _p prime L_p(E, p^-s)^-1, ] where the a_n are determined by point counts E(𝔽_p) at each prime p.”

Cited in

  • Book II — Categorical Holomorphy Part 10
    Chapter BSD Bridge: Proto-Rationality in Split-Complex Regime
    The L-function. Attached to E is a Dirichlet series \[ L(E, s) = _n=1^∞ a_nn^s = _p prime L_p(E, p^-s)^-1, \] where the a_n are determined by point counts |E(𝔽_p)| at each prime p
  • Book II — Categorical Holomorphy Part 10
    Chapter BSD Bridge: Proto-Rationality in Split-Complex Regime
    The connection to the Langlands program (cf. the research document ``Bi-Square to Langlands Synthesis'') identifies six structural parallels: Tower coherence automorphic level compatibility

Bibliographic Details

BibTeX KeyBump1997
AuthorsDaniel Bump
Year
TypeBook
PublisherCambridge University Press
Volume55
SeriesCambridge Studies in Advanced Mathematics