Results 51 to 60 of about 508 (172)
, 2011 We define two-parameter generalizations of Andrews' (k+1)-marked odd Durfee symbols and 2kth symmetrized odd rank moments, and study the automorphic properties of some of their generating functions. When k = 0 we obtain families of modular forms and mock
ALFES, CLAUDIA +6 more
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The Theta Correspondence and Periods of Automorphic Forms [PDF]
, 2014 The study of periods of automorphic forms using the theta correspondence and the Weil representation was initiated by Waldspurger and his work relating Fourier coefficients of modular forms of half-integral weight, periods over tori of modular forms of ...
Walls, Patrick
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CM values of higher automorphic Green functions for orthogonal groups [PDF]
Gross and Zagier conjectured that the CM values (of certain Hecke translates) of the automorphic Green function Gs (z₁, z₂) for the elliptic modular group at positive integral spectral parameter s are given by logarithms of algebraic numbers in suitable ...
Bruinier, Jan Hendrik +2 more
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Doubling method and exterior twists
, 2019 We give a survey on our work with C.Schmidt on p-adic interpolation for standard L-functions for Siegel modular forms. We emphasize that there is a strong analogy between exterior twists of Eisenstein series and appliction of certain differential ...
Böcherer, Siegfried
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Modular symbols over number fields [PDF]
Let K be a number field, R its ring of integers. For some classes of fields, spaces of cusp forms of weight 2 for GL(2;K) have been computed using methods based on modular symbols. J.E.
Aranes, M.
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On ℓ-adic representations for a space of noncongruence cuspforms [PDF]
, 2012 This paper is concerned with a compatible family of 4-dimensional ℓ-adic representations ρℓ of GQ := Gal(Q/Q) attached to the space of weight-3 cuspforms S3(Γ) on a noncongruence subgroup Γ ⊂ SL2(Z). For this representation we prove that: 1.
Hoffman, Jerome William +5 more
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Regularized inner products and meromorphic modular forms
, 2017 In this talk, we consider a regularization of Petersson's inner product which is well-defined (and finite) between two meromorphic modular forms and agrees with Petersson's inner product whenever the latter exists.
Kane, BR
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, 2004 An interesting connection exists between the space of homogeneous polynomials and the representations of the homogeneous modular group F(l). This linkage leads to become automorphic and modular forms for the representations of the modular group.
Kirmaci, US +7 more
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Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]
Res Number Theory, 2022 Assaf E +5 more
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On large families of automorphic L-functions on GL2
, 2010 The goal of this dissertation is analytical investigation of large families of automorphic L-functions on GL2. With a view towards potential applications in Analytic Number Theory, we investigate families of holomorphic modular forms, but additionally ...
Djanković, Goran, 1979-
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