Spectral methods of automorphic forms
By Henryk Iwaniec. 2002
599 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/a2b22c614f8d31ccf9ce0a97d914d5e7c3c3d6d4
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In Algebra and Number Theory
- V. Blomer
- Ken Ichi Ono
- Kannan Soundararajan
- M. Young
- Jan H. Bruinier
- Gergely Harcos
- R. Holowinsky
- P. Jenkins
In Geometry and Topology
- Ken Ichi Ono
- V. Blomer
- Gergely Harcos
- A. Maloney
- A. Reznikov
- Kannan Soundararajan
- P. Jenkins
- E. Witten
Citations in the corpus
- Hybrid bounds for twisted L-functions (2008, background): “6) In [Iw2] the basis of the Eisenstein spectrum is indexed by the set fag of cusps of G0ðDÞ which are singular with respect to c.”
- Unearthing the visions of a master: harmonic Maass forms and number theory (2008, background): “There is now a vast literature on Maass forms thanks to the works of many authors such as Hejhal, Iwaniec, Maass, Roelcke, Selberg, Terras, Venkov, among many others (for example, see [116, 117, 124, 126, 149, 150, 181, 191, 199, 200, 203]).”
- Hilbert class polynomials and traces of singular moduli (2006, background): “For background on the usual holomorphic Poincaré series see [I2, I3], and for detailed information on the special functions appearing here, see references such as [AS] or the Appendix to [I3].”
- Bounds for GL(3)×GL(2) L -functions and GL(3) L -functions (2008, unknown): “[Iw1] H. Iwaniec, Topics in classical automorphic forms.”
- Riemann's zeta function and beyond (2003, unknown): “This is because both s(s− 1)π−s/2Γ(s/2)ζ(s) and 1sΓ(s/2) are entire and of order 1 (Theorem 2.1).”
- Quantum unique ergodicity for SL_2(Z)\H (2009, background): “complete accounts of the quantum unique ergodicity problem the reader may consult [7], [9], [11], [13] and references therein; a comprehensive introduction to the theory of Maass forms is provided in [4]. Theorem 1. Let φ be a Hecke-Maass cusp form for the full modular group SL2(Z), normalized to ha”
- Quantum gravity partition functions in three dimensions (2007, background): “4 of [22] contains precisely what we need to analyze the sum (3.”
- Expanding maps on Cantor sets and analytic continuation of zeta functions (2005, background): “Similar asymptotics for non-compact Riemann surfaces of finite volume were proved by Sarnak [39] (see also the book by Iwaniec [19]).”