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Automorphic Forms and Representations
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  • Cited by 67
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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.

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

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

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

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

    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. 2017. A conjectural extension of Hecke’s converse theorem. The Ramanujan Journal,

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

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

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

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

    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.

    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.

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

    Liu, Huafeng Li, Shuai and Zhang, Deyu 2016. Power moments of automorphic L-function attached to Maass forms. International Journal of Number Theory, Vol. 12, Issue. 02, p. 427.

    Lagarias, Jeffrey C. and Rhoades, Robert C. 2016. Polyharmonic Maass forms for $$\text {PSL}(2,{\mathbb Z})$$ PSL ( 2 , Z ). The Ramanujan Journal, Vol. 41, Issue. 1-3, p. 191.

    Hu, Yueke 2016. Cuspidal part of an Eisenstein series restricted to an index 2 subfield. Research in Number Theory, Vol. 2, Issue. 1,

    Jung, Junehyuk 2016. Quantitative Quantum Ergodicity and the Nodal Domains of Hecke–Maass Cusp Forms. Communications in Mathematical Physics, Vol. 348, Issue. 2, p. 603.

    Karemaker, Valentijn 2016. Hecke algebras for $${{\rm GL}_n}$$ GL n over local fields. Archiv der Mathematik, Vol. 107, Issue. 4, p. 341.

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    Automorphic Forms and Representations
    • Online ISBN: 9780511609572
    • Book DOI: https://doi.org/10.1017/CBO9780511609572
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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.

Reviews

‘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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