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**public sources and our publisher partners.**Recently, Garthwaite and Penniston have shown that the coefficients of Ramanujan's mock theta function ω satisfy infinitely many congruences of Ramanujan type. In this work we give the first explicit… Expand

We investigate the complexity of equivalence problems for {∪,∩,−,+,×}-circuits computing sets of natural numbers. These problems were first introduced by Stockmeyer and Meyer (1973). We continue this… Expand

We investigate the complexity of satisfiability problems for {@?,@?,^-,+,x}-circuits computing sets of natural numbers. These problems are a natural generalization of membership problems for… Expand

We investigate the complexity of satisfiability problems for {∪, ∩, -, +, ×}-circuits computing sets of natural numbers. These problems are a natural generalization of membership problems for… Expand

We investigate the complexity of equivalence problems for {∪ ∩ -,+,×}-circuits computing sets of natural numbers. These problems were first introduced by Stockmeyer and Meyer (1973). We continue this… Expand

Bringmann, Mahlburg, and Rhoades have found asymptotic expressions for all moments of the partition statistics rank and crank. In this work we extend their methods to higher ranks. The T-rank,… Expand

We give an explicit construct of a harmonic weak Maass form FΘ that is a “lift” of Θ3, where Θ is the classical Jacobi theta function. Just as the Fourier coefficients of Θ3 are related to class… Expand

In recent work of Bringmann, Guerzhoy, and the first author, p-adic modular forms were constructed from mock modular forms. This paper proves explicit congruences for these p-adic modular forms.

Abstract In this paper, we study the congruences for the Fourier coefficients of the Mathieu mock theta function, which appears in the Mathieu moonshine phenomenon discovered by Eguchi, Ooguri, and… Expand