Newforms of half-integral weight
WebNiwa, S.: Modular forms of half-integral weight and the integral of certain theta-functions. Nagoya Math. J.56, 147–161 (1974) Google Scholar Niwa, S.: On certain thera functions and modular forms of half-integral weight. Preprint 1983. Rankin, R.A.: The scalar product of modular forms. Proc. Lond. Math. Soc.2, 198–217 (1972) Web1 aug. 2010 · We characterise the space of newforms of weight k + 1/2 on Γ0(4N), N odd and square-free (studied by the second and third authors with Vasudevan) under the Atkin-Lehner W(4) operator. As an application, we show that the (±1)-eigensubspaces of the W(4) operator on the space of modular forms of weight k + 1/2 on Γ0(4N) is mapped to …
Newforms of half-integral weight
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Web16 aug. 2024 · We use the $2$-adic generators to define classical Hecke operators on the space of holomorphic modular forms of weight $k+1/2$ and level $8M$ where $M$ is … Web27 mei 2024 · E. M. Baruch and S. Purkait, Newforms of half-integral weight: the minus space counterpart, Canadian Journal of Mathematics, to appear, arXiv:1609.06481v2. S. …
Web22 jan. 2016 · The theory of newforms is very important and useful for arithmetical study of modular forms of integral weight. It is natural to try to extend this theory into the case of … Web10 feb. 2012 · Let $${{\\mathfrak f}}$$ be a cusp form of half integral weight whose Fourier coefficients $${{\\mathfrak a}_{\\mathfrak f}(n)}$$ are all real. We study the sign change problem of $${{\\mathfrak a}_{\\mathfrak f}(n)}$$ , when n runs over some specific sets of integers. Lower bounds of the best possible order of magnitude are established for the …
Webforms of half-integral weight whose level is a natural number divisible by 4 and constructed certain liftings of the space of cusp forms of half-integral weight to the space of cusp … Web5 apr. 2024 · Like, adjoint of inclusion (which is kinda identity)should be identity. But if one observes that by inclusion we take the form f to a higher level, so its adjoint should be a level lowering operator. (Trace operator is a level lowering one). By the operator V in the question, if it is the operator f ∣ V ( m) := ∑ n a ( n) q m n, then its ...
WebHere M s (1) denotes the space of modular forms of weight is the space of newforms of weight 2 k on Γ 0 (6) that are eigenfunctions with eigenvalues € 2 and € 3 for Atkin …
Web22 jan. 2016 · Two very different definitions of a newform of half-integral weight are present and continued to be developed in the literature. The first definition originated with … simons town bnbWeb21 sep. 2016 · Newforms of Half-integral Weight: The Minus Space Counterpart. September 2016; Canadian Journal of Mathematics 72(2) DOI: 10.4153/S0008414X19000233. Project: New forms and Hecke algebras; simonstown book fairWeb21 sep. 2016 · We show that this subspace is isomorphic under the Shimura-Niwa correspondence to the space of newforms of weight $2k$ and level $2M$ and that this is … simonstown bottle storeWeb10 dec. 2024 · In 1973, Shimura (Ann. Math. (2) 97:440–481, 1973) introduced a family of correspondences between modular forms of half-integral weight and modular forms of even integral weight. simonstown beachesWebthat this new subspace is Hecke isomorphic to S_{2k}^{new}(\Gamma_{0}(M)) , the space of newforms of weight 2k and level i\mathcal{V}I, giving first instance of Atkin‐Lehner type newform theory for half‐integral weight forms. Ueda [11] generalises Niwa’s trace computations and gen‐ eralizes Kohnen’s newform theory to the case M odd. simons town attractionsWeb27 mei 2024 · Algebra Newforms of half-integral weight: the minus space of Sk+1/2 (Γ0 (8M)) May 2024 Israel Journal of Mathematics Authors: E. M. Baruch Technion - Israel Institute of Technology Soma Purkait... simonstown boat tripsWeb1 mei 2024 · Abstract. We investigate the (still unknown) Ramanujan–Petersson conjecture about the growth of the Fourier coefficients of cusp forms of half-integral weight and prove that it is optimal, at least for newforms in the plus space. simons town b\\u0026b