4 citations · 10 across the 9 of their papers we have counts for
10 papers
Replicable functions arising from code-lattice VOAs fixed by automorphisms
Lea Beneish, Jennifer Berg, Eva Goedhart +3
We ascertain properties of the algebraic structures in towers of codes, lattices, and vertex operator algebras (VOAs) by studying the associated subobjects fixed by lifts of code a…
Vanishing of Quartic and Sextic Twists of -functions
Jennifer Berg, Nathan C. Ryan, Matthew P. Young
Let be an elliptic curve over . We conjecture asymptotic estimates for the number of vanishings of as varies over all primitive Dirichlet characters…
Descent and étale-Brauer obstructions for 0-cycles
Francesca Balestrieri, Jennifer Berg
For 0-cycles on a variety over a number field, we define an analogue of the classical descent set for rational points. This leads to, among other things, a definition of the étale-…
Rational points on symmetric squares of constant algebraic curves over function fields
Jennifer Berg, José Felipe Voloch
We consider smooth projective curves C/ over a finite field and their symmetric squares . For a global function field , we study the -rational…
Rational points on conic bundles over elliptic curves
Jennifer Berg, Masahiro Nakahara
We study rational points on conic bundles over elliptic curves with positive rank over a number field. We show that the etale Brauer-Manin obstruction is insufficient to explain fa…
Odd order obstructions to the Hasse principle on general K3 surfaces
Jennifer Berg, Anthony Várilly-Alvarado
We show that odd order transcendental elements of the Brauer group of a K3 surface can obstruct the Hasse principle. We exhibit a general K3 surface of degree 2 over $\mathbb{Q…
Obstructions to integral points on affine Châtelet surfaces
Jennifer Berg
We consider the Brauer-Manin obstruction to the existence of integral points on affine surfaces defined by over a number field. We enumerate the possibilities f…
Insufficiency of the Brauer-Manin obstruction for Enriques surfaces
Francesca Balestrieri, Jennifer Berg, Michelle Manes +2
In 2011, Vàrilly-Alvarado and the last author constructed an Enriques surface over with an étale-Brauer obstruction to the Hasse principle and no algebraic Brauer-…
Congruences for Ramanujan's f and ω functions via generalized Borcherds products
Jen Berg, Abel Castillo, Robert Grizzard +3
Bruinier and Ono recently developed the theory of generalized Borcherds products, which uses coefficients of certain Maass forms as exponents in infinite product expansions of mero…
p-Groups have unbounded realization multiplicity
Jen Berg, Andrew Schultz
In this paper we interpret the solutions to a particular Galois embedding problem over an extension K/F whose Galois group is a finite, cyclic p group in terms of certain Galois su…