Add to ORKGWe use Borcherds products to give a new construction of the weight $3$ paramodular nonlift eigenform $f_N$ for levels $N = 61, 73, 79$. We classify the congruences of $f_N$ to Gritsenko lifts. We provide techniques that compute eigenvalues to support future modularity applications. Our method does not compute Hecke eigenvalues from Fourier coefficients but instead uses elliptic modular forms, specifically the restrictions of Gritsenko lifts and their images under the slash operator to modular curves
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
Given a prime p≥5 and an abstract odd representation ρ n with coefficients modulo p n (for some n≥1 ...
AbstractUsing the theory of modular forms, we show that the three-colored Frobenius partition functi...
We use Borcherds products to give a new construction of the weight $3$ paramodular nonlift eigenform...
In this thesis we will produce and investigate certain congruences, as predicted by Harder, between ...
In this thesis we extend the work of Dummigan and Fretwell on congruences of ``local origin''. Such ...
We survey results motivated by the Paramodular conjecture of Brumer and Kramer. These include system...
We investigate certain finiteness questions that arise naturally when studying approximations modulo...
In a 1987 letter, Serre proves that the systems of Hecke eigenvalues arising from mod $p$ modular fo...
peer reviewedWe investigate certain finiteness questions that arise naturally when studying approxim...
We prove that if a prime ℓ>3 divides pk−1, where p is prime, then there is a congruence modulo ℓ, li...
We define oldforms and newforms for Drinfeld cusp forms of level t and conjecture that their direct ...
We define oldforms and newforms for Drinfeld cusp forms of level t and conjecture that their direct ...
Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multipl...
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
Given a prime p≥5 and an abstract odd representation ρ n with coefficients modulo p n (for some n≥1 ...
AbstractUsing the theory of modular forms, we show that the three-colored Frobenius partition functi...
We use Borcherds products to give a new construction of the weight $3$ paramodular nonlift eigenform...
In this thesis we will produce and investigate certain congruences, as predicted by Harder, between ...
In this thesis we extend the work of Dummigan and Fretwell on congruences of ``local origin''. Such ...
We survey results motivated by the Paramodular conjecture of Brumer and Kramer. These include system...
We investigate certain finiteness questions that arise naturally when studying approximations modulo...
In a 1987 letter, Serre proves that the systems of Hecke eigenvalues arising from mod $p$ modular fo...
peer reviewedWe investigate certain finiteness questions that arise naturally when studying approxim...
We prove that if a prime ℓ>3 divides pk−1, where p is prime, then there is a congruence modulo ℓ, li...
We define oldforms and newforms for Drinfeld cusp forms of level t and conjecture that their direct ...
We define oldforms and newforms for Drinfeld cusp forms of level t and conjecture that their direct ...
Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multipl...
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
peer reviewedThis article surveys modularity, level raising and level lowering questions for two-dim...
Given a prime p≥5 and an abstract odd representation ρ n with coefficients modulo p n (for some n≥1 ...
AbstractUsing the theory of modular forms, we show that the three-colored Frobenius partition functi...