mathematics, Atkin–Lehner theory is part of the theory of modular forms describing when they arise at a given integer level N in such a way that the theory of Hecke...
5 KB (712 words) - 21:00, 12 May 2025
(1972–1980). He worked on automorphic functions and introduced Atkin–Lehner theory. Lehner, Joseph (1964), Discontinuous groups and automorphic functions...
2 KB (164 words) - 13:58, 2 September 2024
Modular form (category Analytic number theory)
Functions and Modular Forms (PDF), p. 88, Theorem 6.1. Mocanu, Andreea. "Atkin-Lehner Theory of Γ 1 ( N ) {\displaystyle \Gamma _{1}(N)} -Modular Forms" (PDF)...
31 KB (4,651 words) - 00:20, 3 March 2025
forms, Math. Comp. 73 (2004), 1023–1030.[1]. Atkin–Goldwasser–Kilian–Morain certificates Atkin–Lehner theory Elliptic curve primality proving "Gordon Bamford...
5 KB (372 words) - 12:18, 27 October 2024
Fricke involution (category Number theory stubs)
primes, which are the primes that divide the order of the Monster group. Atkin–Lehner involution Iwaniec, Henryk (1997), Topics in classical automorphic forms...
1 KB (132 words) - 22:57, 30 September 2024
Mathematical Society. Casselman, Bill (1973). "On some results of Atkin and Lehner". Mathematische Annalen. 201 (4): 301–314. doi:10.1007/BF01428197....
6 KB (449 words) - 13:59, 13 April 2025
Schauenburg–Ng theorem (category Category theory)
1007/s00220-010-1096-6. ISSN 1432-0916. Moore, Gregory (1987-01-01). "Atkin-Lehner symmetry". Nuclear Physics B. 293: 139–188. doi:10.1016/0550-3213(87)90067-8...
4 KB (398 words) - 21:40, 23 May 2025
Waldspurger formula (category Representation theory)
Fourier–Whittaker coefficients of φ {\displaystyle \varphi } . Definition 6. Atkin–Lehner operator W α ℓ = ( ℓ α ℓ b N ℓ α ℓ d ) {\displaystyle W_{\alpha _{\ell...
13 KB (2,532 words) - 06:14, 9 January 2025
Revolutionary Age (5 vol 1969), covers 1790s to 1960; comprehensive global history Lehner, Ulrich and Michael Printy, eds. A Companion to the Catholic Enlightenment...
174 KB (21,091 words) - 04:32, 25 May 2025
hdl:11343/241506. van Oldenborgh, G. J.; Krikken, F.; Lewis, S.; Leach, N. J.; Lehner, F.; Saunders, K. R.; van Weele, M.; Haustein, K.; Li, S.; Wallom, D.; Sparrow...
60 KB (5,463 words) - 04:18, 1 May 2025