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extended to higher levels. Atkin–Lehner theory is based on the concept of a newform, which is a cusp form 'new' at a given level N, where the levels are the...

form that gives rise to the same representation). Let f be a weight 2 newform on Γ0(qN) – i.e. of level qN where q does not divide N – with absolutely...

Newton, of the automorphy of all symmetric powers of a holomorphic modular newform." Jacob Tsimerman – "For outstanding work in analytic number theory and...

that in this case, ρ {\displaystyle \rho } is associated to a cuspidal newform if and only if ρ {\displaystyle \rho } is potentially semi-stable at p...

particular kind of modular form of weight two and level N, a normalized newform with integer q-expansion, followed if need be by an isogeny. The modularity...

proved this formula, when k = Q {\displaystyle k=\mathbb {Q} } and f is a newform. Jean-Loup Waldspurger, for whom the formula is named, reproved and generalized...

Unsupported: 0.95 29 Jul 2006 "magic removal" Unsupported: 0.96 23 Mar 2007 "newforms", testing tools Unsupported: 1.0 3 Sep 2008 API stability, decoupled admin...

Suppose that f {\displaystyle f} is a weight- k {\displaystyle k} integer newform whose Fourier coefficients a ( n ) {\displaystyle a(n)} are integers. Consider...

not move forward. Tripathy went on to write and direct a webseries at NewForm Digital starring comedian Cody Ko. The pilot was part of the company's...

Mathematicae. 89 (3): 528. Bibcode:1987InMat..89..527R. doi:10.1007/BF01388984. "Newform orbit 1.12.a.a". The L-functions and modular forms database. Levin (2006)...

forms and Maass forms. For the case of cusp forms, each Hecke eigenform (newform) corresponds to a cuspidal representation. Let G {\displaystyle G} be a...

particular kind of modular form of weight two and level N, a normalized newform with integer q-expansion, followed if need be by an isogeny. The modularity...

also known (Scholl 1990), for example, that a motive can be attached to a newform (i.e. a primitive cusp form), hence their L-functions are motivic. Several...

work settings, see http://www.edu.helsinki.fi/activity/pages/research/newforms/ Cole, Michael (2006-10-19). The Fifth Dimension: An After-School Program...