Results 41 to 50 of about 6,496 (142)
Regularized inner products and errors of modularity [PDF]
, 2016 We develop a regularization for Petersson inner products of arbitrary weakly holomorphic modular forms, generalizing several known regularizations. As one application, we extend work of Duke, Imamoglu, and Toth on regularized inner products of weakly ...
Alfes +11 more
core +2 more sources
Duality and differential operators for harmonic Maass forms [PDF]
, 2013 Due to the graded ring nature of classical modular forms, there are many interesting relations between the coefficients of different modular forms. We discuss additional relations arising from Duality, Borcherds products, theta lifts.
Bringmann, K, Kane, B, Rhoades, RC
core +1 more source
Linear Relations Among Poincare Series via Harmonic Weak Maass Forms
, 2011 We discuss the problem of the vanishing of Poincar\'e series. This problem is known to be related to the existence of weakly holomorphic forms with prescribed principal part.
Satadal Ganguly, Soumya Das
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Explicit congruences for mock modular forms [PDF]
, 2015 In recent work of Bringmann, Guerzhoy, and the first author, p-adic modular forms were constructed from mock modular forms.
Kane, Ben, Waldherr, Matthias
core +2 more sources
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Mock Jacobi forms in basic hypergeometric series
, 2008 We show that some $q$-series such as universal mock theta functions are linear sums of theta quotients and mock Jacobi forms of weight 1/2, which become holomorphic parts of real analytic modular forms when they are restricted to torsion points and ...
Andrews +4 more
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Mock modular forms as $p$-adic modular forms [PDF]
, 2010 In this paper, we consider the question of correcting mock modular forms in order to obtain $p$-adic modular forms. In certain cases we show that a mock modular form $M^+$ is a $p$-adic modular form.
Bringmann, Kathrin +2 more
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Unitarily invariant valuations on convex functions
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
wiley +1 more source
Eichler Cohomology of Generalized Modular Forms of Real Weights [PDF]
, 2012 In this paper, we prove the Eichler cohomology theorem of weakly parabolic generalized modular forms of real weights on subgroups of finite index in the full modular group. We explicitly establish the isomorphism for large weights by constructing the map
Raji, Wissam
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