Results 81 to 90 of about 129 (113)
The Andrews-Sellers family of partition congruences.
Adv Math (N Y), 2012 Paule P, Radu CS.
europepmc +1 more source
Zeros of certain weakly holomorphic modular forms and their transcendence
, 2017 openaire +1 more source
Zeros of certain weakly holomorphic modular forms and their transcendence
Zeros of certain weakly holomorphic modular forms and their transcendenceopenaire
On the zeros of weakly holomorphic modular forms [PDF]
Archiv Der Mathematik, 2014 In this article, we study the nature of zeros of weakly holomorphic modular forms. In particular, we prove results about transcendental zeros of modular forms of higher levels and for certain Fricke groups which extend a work of Kohnen. Furthermore, we investigate the algebraic independence of values of weakly holomorphic modular forms.
Biswajyoti Saha +2 more
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On the Zeros and Coefficients of Certain Weakly Holomorphic Modular Forms [PDF]
Pure and Applied Mathematics Quarterly, 2008 A \textit{weakly holomorphic modular form} (say, \(f\)) of weight \(k\in 2\mathbb{Z}\) for the full modular group \(\mathrm{PSL}_{2}(\mathbb{Z})\) is defined the same way as holomorphic modular form, only \(f\) is allowed to have a finite number of negative powers in its \(q\)-expansion. Write \(k=12\ell+k'\) with uniquely determined \(\ell\in\mathbb{Z}
Paul Jenkins, Jenkins Paul, W DUKE
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p-Adic Properties of Coefficients of Weakly Holomorphic Modular Forms [PDF]
International Mathematics Research Notices, 2010 We examine the Fourier coefficients of modular forms in a canonical basis for the spaces of weakly holomorphic modular forms of weights 4, 6, 8, 10, and 14, and show that these coefficients are often highly divisible by the primes 2, 3, and 5.
Paul Jenkins, Jenkins Paul
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Zagier duality for level p weakly holomorphic modular forms [PDF]
Ramanujan Journal, 2018 We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level $p$ with $11 \leq p \leq 37$ with poles only at the cusp at $\infty$, and special cases of duality for an infinite class of prime levels. We derive generating functions for the bases for genus 1 levels.
Grant Molnár +2 more
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Weakly holomorphic modular forms for some moonshine groups [PDF]
Archiv Der Mathematik, 2014 Some misprints corrected.
Rainer Schulze-Pillot +1 more
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Half-integral weight p-adic coupling of weakly holomorphic and holomorphic modular forms [PDF]
Research in Number Theory, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kathrin Bringmann +2 more
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