Bibliography · Number Theory and Analysis

Analytic Number Theory

Book Domain Context Number Theory and Analysis

Citation

Henryk Iwaniec and Emmanuel Kowalski. (2004). Analytic Number Theory. American Mathematical Society.

Why this reference is included

Iwaniec and Kowalski’s Analytic Number Theory (2004), published by American Mathematical Society, 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 KeyIwaniecKowalski2004
AuthorsHenryk Iwaniec and Emmanuel Kowalski
Year
TypeBook
PublisherAmerican Mathematical Society