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Abelian varieties of prescribed order over finite fields. [PDF]
Math Annvan Bommel R +4 more
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Overpartitions and class numbers of binary quadratic forms. [PDF]
Proc Natl Acad Sci U S A, 2009 Bringmann K, Lovejoy J.
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The Andrews-Sellers family of partition congruences.
Adv Math (N Y), 2012 Paule P, Radu CS.
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Zeros of certain weakly holomorphic modular forms and their transcendence
Zeros of certain weakly holomorphic modular forms and their transcendenceopenaire
Zagier duality for level p weakly holomorphic modular forms [PDF]
The Ramanujan Journal, 2017 We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level p with $$11 \le p \le 37$$11≤p≤37 with poles only at the cusp at $$\infty $$∞, and special cases of duality for an ...
P. Jenkins, Grant Molnar
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Congruences involving the $$U_{\ell }$$Uℓ operator for weakly holomorphic modular forms [PDF]
The Ramanujan Journal, 2019 Let $$\lambda $$ λ be an integer, and $$f(z)=\sum _{n\gg -\infty } a(n)q^n$$ f ( z ) = ∑ n ≫ - ∞ a ( n ) q n be a weakly holomorphic modular form of weight $$\lambda +\frac{1}{2}$$ λ + 1 2 on $$\Gamma _0(4)$$ Γ 0 ( 4 ) with integral coefficients.
D. Choi, Subong Lim
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DIVISIBILITY PROPERTIES OF COEFFICIENTS OF WEIGHT 0 WEAKLY HOLOMORPHIC MODULAR FORMS
International Journal of Number Theory, 2011In 1949, Lehner showed that certain coefficients of the modular invariant j(τ) are divisible by high powers of small primes. Kolberg refined Lehner's results and proved congruences for these coefficients modulo high powers of these primes. We extend Lehner's and Kolberg's work to the elements of a canonical basis for the space of weight 0 weakly ...
Michael J. Griffin
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Arithmetic properties for the minus space of weakly holomorphic modular forms
Journal of Number Theory, 2019Let M k ! ( p ) be the space of weakly holomorphic modular forms of weight k on Γ 0 ( p ) , and let M k ! − ( p ) be the minus space which is the subspace of M k ! ( p ) consisting of all eigenforms of the Fricke involution W p with eigenvalue −1. We are
Soyoung Choi +2 more
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L-SERIES FOR VECTOR-VALUED WEAKLY HOLOMORPHIC MODULAR FORMS AND CONVERSE THEOREMS
Canadian Journal of MathematicsWe introduce the $L$-series of weakly holomorphic modular forms using Laplace transforms and give their functional equations. We then determine converse theorems for vector-valued harmonic weak Maass forms, Jacobi forms, and elliptic modular forms of ...
Subong Lim, W. Raji
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