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Automorphic Forms and Representations
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  • Cited by 72
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Hamieh, Alia and Tanabe, Naomi 2018. Determining Hilbert modular forms by central values of Rankin–Selberg convolutions: the weight aspect. The Ramanujan Journal, Vol. 45, Issue. 3, p. 615.

    Szpruch, Dani 2018. A short proof for the relation between Weil indices and 𝜖-factors. Communications in Algebra, Vol. 46, Issue. 7, p. 2846.

    Bettin, Sandro Bober, Jonathan W. Booker, Andrew R. Conrey, Brian Lee, Min Molteni, Giuseppe Oliver, Thomas Platt, David J. and Steiner, Raphael S. 2018. A conjectural extension of Hecke’s converse theorem. The Ramanujan Journal, Vol. 47, Issue. 3, p. 659.

    Ahlén, Olof and Kleinschmidt, Axel 2018. D6R4 curvature corrections, modular graph functions and Poincaré series. Journal of High Energy Physics, Vol. 2018, Issue. 5,

    Hasegawa, Takehiro Saigo, Hayato Saito, Seiken and Sugiyama, Shingo 2018. A quantum probabilistic approach to Hecke algebras for 𝔭-adic PGL2. Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 21, Issue. 03, p. 1850015.

    Schmidt, Ralf and Tran, Long 2018. Zeta integrals for GSp(4) via Bessel models. Pacific Journal of Mathematics, Vol. 296, Issue. 2, p. 437.

    Liu, Shenhui 2018. On central L-derivative values of automorphic forms. Mathematische Zeitschrift, Vol. 288, Issue. 3-4, p. 1327.

    O’Sullivan, Cormac 2018. Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers. Research in Number Theory, Vol. 4, Issue. 3,

    Aubert, Anne-Marie 2018. Around the Langlands Program. Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 120, Issue. 1, p. 3.

    Bringmann, Kathrin Lovejoy, Jeremy and Rolen, Larry 2018. On Some Special Families of q-hypergeometric Maass Forms. International Mathematics Research Notices, Vol. 2018, Issue. 18, p. 5537.

    Badulescu, A. I. 2018. Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms. Vol. 2221, Issue. , p. 197.

    Hundley, Joseph 2018. Holomorphy of adjoint L functions for quasisplit $$A_2$$A2. Research in Number Theory, Vol. 4, Issue. 4,

    Maga, P. 2017. Subconvexity for twisted L-functions over number fields via shifted convolution sums. Acta Mathematica Hungarica, Vol. 151, Issue. 1, p. 232.

    Hu, Yueke 2017. Triple Product Formula and Mass Equidistribution on Modular Curves of Level N. International Mathematics Research Notices, p. rnw322.

    Woodbury, Michael 2017. L-Functions and Automorphic Forms. Vol. 10, Issue. , p. 275.

    Disegni, Daniel 2017. The -adic Gross–Zagier formula on Shimura curves. Compositio Mathematica, Vol. 153, Issue. 10, p. 1987.

    Carbone, Lisa Lee, Kyu-Hwan and Liu, Dongwen 2017. Eisenstein series on rank 2 hyperbolic Kac–Moody groups. Mathematische Annalen, Vol. 367, Issue. 3-4, p. 1173.

    Lemma, Francesco 2017. On higher regulators of Siegel threefolds II: the connection to the special value. Compositio Mathematica, Vol. 153, Issue. 05, p. 889.

    Xiong, Wei 2017. On certain Fourier coefficients of Eisenstein series on G2. Pacific Journal of Mathematics, Vol. 289, Issue. 1, p. 235.

    Hofmann, Eric 2017. L-Functions and Automorphic Forms. Vol. 10, Issue. , p. 333.

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    Automorphic Forms and Representations
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Book description

Intermediate in level between an advanced textbook and a monograph, this book covers both the classical and representation theoretic views of automorphic forms in a style which is accessible to graduate students entering the field. The treatment is based on complete proofs, which reveal the uniqueness principles underlying the basic constructions. The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin–Selberg method and the triple L-function, examining this subject matter from many different and complementary viewpoints. Researchers as well as students will find this a valuable guide to a notoriously difficult subject.


‘This important textbook closes a gap in the existing literature, for it presents the ‘representation theoretic’ viewpoint of the theory of automorphic forms on GL(2) … it will become a stepping stone for many who want to study the Corvallis Proceedings or the Lecture Notes by H. Jaquet and R. Langlands or seek a pathway to R. Langland’s conjectures.’

Source: Monatshefte für Mathematik

‘Students and researchers will find the book an understandable and penetrating treatment of a beautiful theory.’

Source: European Mathematical Society

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