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In analytic number theory, the Petersson trace formula is a kind of orthogonality relation between coefficients of a holomorphic modular form. It is a
Petersson_trace_formula
Formula in analytic number theory
number theory, the Kuznetsov trace formula is an extension of the Petersson trace formula. The Kuznetsov or relative trace formula connects Kloosterman sums
Kuznetsov_trace_formula
Topics referred to by the same term
Arthur–Selberg trace formula Petersson trace formula Selberg trace formula Behrend's trace formula, or Behrend's fixed point formula a generalization
Trace_formula
Unsolved problem in mathematics
In mathematics, the Ramanujan-Petersson conjecture is a conjecture concerning the growth rate of coefficients of modular forms and more generally, automorphic
Ramanujan–Petersson conjecture
Ramanujan–Petersson_conjecture
Particular kind of exponential sum
H\subset G} be a subgroup. While the usual trace formula studies the harmonic analysis on G, the relative trace formula is a tool for studying the harmonic analysis
Kloosterman_sum
series Modular curve Ramanujan–Petersson conjecture Birch and Swinnerton-Dyer conjecture Automorphic form Selberg trace formula Artin conjecture Sato–Tate
List_of_number_theory_topics
Chemical compound (C5H12)
the Office of the Vice President for Research | UAB". Östermark, Ulf; Petersson, Göran (1992-09-01). "Assessment of hydrocarbons in vapours of conventional
Isopentane
Completes the Langlands program for general linear groups over algebraic function fields
Drinfeld, formule des traces d'Arthur-Selberg et correspondance de Langlands." (Drinfeld shtukas, Arthur-Selberg trace formula and Langlands correspondence)
Lafforgue's_theorem
relative trace formula in representation theory, an important tool in modern number theory, which vastly generalizes the Kuznetsov and Petersson formulae
Hervé_Jacquet
Belgian mathematician
more than a decade. As a corollary he proved the celebrated Ramanujan–Petersson conjecture for modular forms of weight greater than one; weight one was
Pierre_Deligne
Russian-Soviet mathematical physicist
quantum gravity and Weil–Petersson geometry of moduli spaces, the Kähler geometry of universal Teichmüller space, and trace formulas. His major contributions
Leon_Takhtajan
Mathematical function
angewandte Mathematik. 294: 143–203. Hejhal, Dennis (1983). The Selberg Trace Formula for PSL(2,R). Lecture Notes in Mathematics. Vol. 1001. Springer-Verlag
Harmonic_Maass_form
PMID 20803004. S2CID 26279076. Petersson, F.; Sulzer, P.; Mayhew, C.A.; Watts, P.; Jordan, A.; Märk, L.; Märk, T.D. (2009). "Real-time trace detection and identification
Proton-transfer-reaction mass spectrometry
Proton-transfer-reaction_mass_spectrometry
On generating functions from counting points on algebraic varieties over finite fields
Weil conjectures. Deligne (1971) had previously shown that the Ramanujan–Petersson conjecture follows from the Weil conjectures. Deligne (1974, section 8)
Weil_conjectures
Micheletti, A. Follesdal and D. Stolle. New Brunswick, Transaction Publishers. Petersson, Olof, Hermansson, J6rgen, Micheletti, Michele, Teorell, Jan and Westholm
Critical_consumerism
West African ethnic group
JSTOR 3171489. S2CID 162959732. Pettersson, Anders; Lindberg-Wada, Gunilla; Petersson, Margareta; Helgesson, Stefan (2006). Literary History: Towards a Global
Mandinka_people
Graduate-level textbooks in mathematics
978-0691085012 120 Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. James Arthur, Laurent Clozel 1989-06-21 248 978-0691085180 121 Cosmology
Annals_of_Mathematics_Studies
Oxygen-free break down of material
gas Archived 8 December 2009 at the Wayback Machine, nationalgrid.com "Petersson A., Wellinger A. (2009). Biogas upgrading technologies - developments
Anaerobic_digestion
Gases produced by decomposing organic matter
Archived from the original (PDF) on 4 December 2014. Retrieved 15 May 2015. "Petersson A., Wellinger A. (2009). Biogas upgrading technologies – developments
Biogas
Matrix used in complex analysis
ISBN 978-0-471-57127-8 Takhtajan, Leon A.; Teo, Lee-Peng (2006), "Weil–Petersson metric on the universal Teichmüller space", Mem. Amer. Math. Soc., 183
Grunsky_matrix
Numerical method for solving physical or engineering problems
Basis and Fundamentals, Butterworth-Heinemann (2005). N. Ottosen, H. Petersson: Introduction to the Finite Element Method, Prentice-Hall (1992). Susanne
Finite_element_method
Nonlinear differential operator used to study conformal mappings
ISBN 978-0-8284-0316-0 Takhtajan, Leon A.; Teo, Lee-Peng (2006), Weil-Petersson metric on the universal Teichmüller space, Mem. Amer. Math. Soc., vol
Schwarzian_derivative
Spin polarization of atomic nuclei beyond thermal equilibrium
PMC 193532. PMID 12930897. Klaes Golman; Jan H. Ardenkjær-Larsen; J. Stefan Petersson; Sven Månsson; Ib Leunbach (2003). "Molecular imaging with endogenous
Hyperpolarization_(physics)
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