Results 11 to 20 of about 78,398 (277)
Relating Siegel cusp forms to Siegel–Maaß forms
Research in Number Theory, 2022 AbstractIn this paper we generalize a well-known isomorphism between the space of cusp forms of weight k for a Fuchsian subgroup of the first kind $$\Gamma \subset \mathrm {SL}_{2}({\mathbb {R}})$$ Γ ⊂ SL 2
Jürg Kramer, Antareep Mandal
openaire +3 more sources
Mathematics of Computation, 2014 We classify Siegel modular cusp forms of weight two for the paramodular group K(p) for primes p< 600. We find that weight two Hecke eigenforms beyond the Gritsenko lifts correspond to certain abelian varieties defined over the rationals of conductor p. The arithmetic classification is in a companion article by A. Brumer and K. Kramer.
Poor, Cris, Yuen, David S.
openaire +3 more sources
Locally harmonic Maass forms and the kernel of the Shintani lift [PDF]
, 2014 In this paper we define a new type of modular object and construct explicit examples of such functions. Our functions are closely related to cusp forms constructed by Zagier which played an important role in the construction by Kohnen and Zagier of a ...
Bringmann, Kathrin +2 more
core +3 more sources
Diagonalizing Hilbert cusp forms [PDF]
Pacific Journal of Mathematics, 1995 It is well known that the space of Hilbert cusp forms \(S_k ({\mathcal N}, \psi)\) of Hecke character \(\psi\) decomposes into a direct sum of common eigenspaces for the Hecke operators \(\{T_p \mid p \nmid {\mathcal N}\}\) which are invariant under the Hecke operators \(\{T_q \mid q |{\mathcal N}\}\).
openaire +2 more sources
Norms of integrable cusp forms [PDF]
Proceedings of the American Mathematical Society, 1988 The norms of modular cusp forms, viewed as belonging to the Bers’ spaces of integrable and bounded forms, are estimated in terms of the Fourier coefficients of the cusp form.
openaire +1 more source
Theta Constants and Cusp Forms [PDF]
Transactions of the American Mathematical Society, 1975 For principal congruence subgroups of levels 2 and 4 a basis for their cusp forms consisting of monomials of theta constants is displayed. Some conditions for the vanishing of Poincaré series of these groups are found.
openaire +2 more sources
Primitive forms for affine cusp polynomials [PDF]
Tohoku Mathematical Journal, 2019 57 ...
Ishibashi, Yoshihisa +2 more
openaire +3 more sources
Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms
Journal of High Energy Physics, 2022 We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivatives of)
Daniele Dorigoni +2 more
doaj +1 more source
On the argument of zeta-functions of certain cusp forms
Lietuvos Matematikos Rinkinys, 2005 There is not abstract.
Rūta Ivanauskaitė
doaj +3 more sources
On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms [PDF]
Annales scientifiques de l'École normale supérieure, 2020 39 ...
Tamotsu, I., Yamana, S.
openaire +3 more sources