NewEvery arXiv paper, its researchers & institutions — mapped.
papers

Publications (28)

math.NT2009

Representing Sets with Sums of Triangular Numbers

Ben Kane

math.NT2017

On Divisors of Modular Forms

Kathrin Bringmann, Ben Kane, Steffen Löbrich +2

math.NT2014

Shintani lifts and fractional derivatives for harmonic weak Maass forms

Kathrin Bringmann, Pavel Guerzhoy, Ben Kane

math.NT2015

Explicit congruences for mock modular forms

Ben Kane, Matthias Waldherr

math.GR2013

Lifting Automorphisms of Quotients by Central Subgroups

Ben Kane, Andrew Shallue

math.NT2017

The Bruinier--Funke pairing and the orthogonal complement of unary theta functions

Ben Kane, Siu Hang Man

math.NT2016

On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring

King Cheong Fung, Ben Kane

math.NT2011

Inequalities for full rank differences of 2-marked Durfee symbols

Kathrin Bringmann, Ben Kane

math.NT2017

Number-theoretic generalization of the Monster denominator formula

Kathrin Bringmann, Ben Kane, Steffen Löbrich +2

math.NT2016

Polar harmonic Maass forms and their applications

Kathrin Bringmann, Ben Kane

math.NT2016

Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms

Kathrin Bringmann, Ben Kane

math.NT2010

Mock modular forms as $p$-adic modular forms

Kathrin Bringmann, Pavel Guerzhoy, Ben Kane

math.NT2014

Modular local polynomials

Kathrin Bringmann, Ben Kane

math.NT2018

Regularized inner products of meromorphic modular forms and higher Green's functions

Kathrin Bringmann, Ben Kane, Anna-Maria von Pippich

math.NT2010

On almost universal mixed sums of squares and triangular numbers

Ben Kane, Zhi-Wei Sun

math.NT2017

Differential operators on polar harmonic Maass forms and elliptic duality

Kathrin Bringmann, Paul Jenkins, Ben Kane

math.NT2016

A problem of Petersson about weight 0 meromorphic modular forms

Kathrin Bringmann, Ben Kane

math.NT2012

Theta lifts and local Maass forms

Kathrin Bringmann, Ben Kane, Maryna Viazovska

math.NT2009

The aliquot constant

Wieb Bosma, Ben Kane

math.NT2009

Equidistribution of Heegner Points and Ternary Quadratic Forms

Dimitar Jetchev, Ben Kane

math.NT2017

Almost universal ternary sums of polygonal numbers

Anna Haensch, Ben Kane

math.NT2016

Ramanujan and coefficients of meromorphic modular forms

Kathrin Bringmann, Ben Kane

math.NT2016

Analogues of the Ramanujan--Mordell Theorem

Shaun Cooper, Ben Kane, Dongxi Ye

math.NT2017

Regularized inner products and weakly holomorphic Hecke eigenforms

Kathrin Bringmann, Ben Kane

math.NT2009

CM liftings of Supersingular Elliptic Curves

Ben Kane

math.CO2008

Multiplicative $q$-hypergeometric series arising from real quadratic fields

Kathrin Bringmann, Ben Kane

math.NT2014

Locally harmonic Maass forms and the kernel of the Shintani lift

Kathrin Bringmann, Ben Kane, Winfried Kohnen

math.NT2011

Faber polynomials and Poincaré series

Ben Kane