Results 81 to 90 of about 156 (139)

On coefficients of Poincaré series and single-valued periods of modular forms. [PDF]

Res Math Sci, 2020
Fonseca TJ.
europepmc   +1 more source

Regularized Theta Lifts of Harmonic Maass Forms

, 2018
In this thesis we study regularized theta lifts between various spaces of harmonic Maass forms and their applications. The work consists of three main parts.
Schwagenscheidt, Markus
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Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers. [PDF]

Proc Natl Acad Sci U S A, 2020
Beckwith O, Raum M, Richter OK.
europepmc   +1 more source

Modular Functions and Special Cycles

In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are a higher dimensional generalization of modular curves and their important feature is that they have natural families of algebraic cycles in all ...
Viazovska, Maryna
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Modular properties of sl2 Torus 1-point functions [PDF]

At least as early as 1970, conformal symmetry had been considered in statistical mechanics in the context of critical phenomena, seen as a generalisation of scale invariance to rescaling by a position-dependent parameter [1].
Shafiq, Jamal
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Ramanujan's influence on string theory, black holes and moonshine. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Harvey JA.
europepmc   +1 more source

From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Gillman N, Gonzalez X, Ono K, Rolen L, Schoenbauer M.   +4 more
europepmc   +1 more source

Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]

Commun Math Phys, 2023
Beem C, Nair S.
europepmc   +1 more source

Cusp forms without complex multiplication as $p$-adic limits

In 2016, Ahlgren and Samart used the theory of holomorphic modular forms to obtain lower bounds on $p$-adic valuations related to the Fourier coefficients of three cusp forms.
Dockery, Dalen
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Asymptotic expansion for the Fourier coefficients associated with the inverse of the modular discriminant function $\Delta$

There have been a plethora of investigations carried out in studying inequalities for the Fourier coefficients of weakly holomorphic modular forms, for example, on the partition function.
Mukherjee, Gargi
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