Roger Godement, La formule des traces de Selberg considérée comme source de problèmes mathématiques, Séminaire Bourbaki, Vol.
Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc.
Pierre Cartier, La conjecture locale de Langlands pour $(2)$ (following Langlands, Saito, Shintani), Automorphic forms, representations and $L$-functions (Proc.
Translated from the Russian by Newcomb Greenleaf. 20, Academic Press, New York-London, 1966. Shafarevich, Number theory, Pure and Applied Mathematics, Vol. With a supplement “On the notion of an automorphic representation” by R. Jacquet, Automorphic forms and automorphic representations, Automorphic forms, representations and $L$-functions (Proc. Early in the chapter, a new section covers multinomial coefcients and their properties, following the development of the binomial coefcients. Langlands), Séminaire Bourbaki (1974/1975: Exposés Nos. The introductory section on basic counting principles has been expanded.
Armand Borel, Formes automorphes et séries de Dirichlet (d’après R. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new.
Borel, Automorphic $L$-functions, Automorphic forms, representations and $L$-functions (Proc. Birch, Elliptic curves and modular functions, Modular functions of one variable, IV (Proc. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters. Zelevinskiĭ, Representations of the group $GL(n,F),$ where $F$ is a local non-Archimedean field, Uspehi Mat. Elementary Number Theory (Springer Undergraduate Mathematics Series) Gareth A.
BASIC NUMBER THEORY SPRINGER SERIES
Tetsuya Asai, On certain Dirichlet series associated with Hilbert modular forms and Rankin’s method, Math.
James Arthur, The trace formula in invariant form, Ann.
Arthur, A trace formula for reductive groups.
James Arthur, Eisenstein series and the trace formula, Automorphic forms, representations and $L$-functions (Proc.
Most of it is in Davenport, Multiplicative Number Theory (Springer, GTM 74) and the second part of Serre, A Course in Arithmetic (Springer, GTM 7), so. Textbooks: No textbook that I am aware of covers exactly the material I would like to cover.
James Arthur, Automorphic representations and number theory, 1980 Seminar on Harmonic Analysis (Montreal, Que., 1980) CMS Conf. concepts in elementary number theory and algebra, such as modular arithmetic and basic group theory.
Andrianov, Zeta functions and the Siegel modular forms, Lie groups and their representations (Proc.
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