7 citations · 12 across the 7 of their papers we have counts for
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Binary forms with covariant points close to the real axis
Eugenia Rosu
For a real binary form , Stoll and Cremona have defined a reduction theory using the action of the modular group , and associated to each binary form a c…
Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties
Jan Hendrik Bruinier, Eugenia Rosu, Shaul Zemel
We consider the generating series of appropriately completed 0-dimensional special cycles on a toroidal compactification of an orthogonal or unitary Shimura variety with values in…
On Jacobi--Weierstrass mock modular forms
Claudia Alfes-Neumann, Jens Funke, Michael Mertens +1
We construct harmonic weak Maass forms that map to cusp forms of weight with rational coefficients under the -operator. This generalizes work of the first author, Grif…
-series values for sextic twists of elliptic curves over
Eugenia Rosu
We prove a new formula for the central value of the -function corresponding to the family of sextic twists over of elliptic curves $E_{D…
Generating series of a new class of orthogonal Shimura varieties
Eugenia Rosu, Dylan Yott
For a new class of Shimura varieties of orthogonal type over a totally real number field, we construct special cycles and show the the modularity of Kudla's generating series in th…
Central values of -functions of cubic twists
Eugenia Rosu
We are interested in finding for which positive integers we have rational solutions for the equation The aim of this paper is to compute the value of the -funct…
Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients
Pieter Moree, Eugenia Rosu
Let l>=1 be an arbitrary odd integer and p,q and r primes. We show that there exist infinitely many ternary cyclotomic polynomials Φ_{pqr}(x) with l^2+3l+5<= p<q<r such that the se…