Ben Kane

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Person:273422

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zbMath Open kane.benMaRDI QIDQ273422

List of research outcomes

PublicationDate of PublicationType
Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection2023-08-28Paper
The mass of shifted lattices and class numbers of inhomogeneous quadratic polynomials2023-05-29Paper
On finiteness theorems for sums of generalized polygonal numbers2023-05-23Paper
Generalized $L$-functions related to the Riemann zeta function2023-05-22Paper
Formulas for moments of class numbers in arithmetic progressions2023-05-10Paper
Hecke eigenforms for meromorphic cusp forms2023-05-02Paper
Universal sums of generalized heptagonal numbers2023-04-27Paper
Eisenstein series part of the primitive representations for even rank quadratic forms2023-03-31Paper
Explicit class number formulas for Siegel–Weil averages of ternary quadratic forms2023-02-20Paper
Conjectures of Sun about sums of polygonal numbers2022-12-08Paper
Theta series of ternary quadratic lattice cosets2022-11-07Paper
Finiteness theorems for universal sums of squares of almost primes2022-10-04Paper
Generalized \(L\)-functions for meromorphic modular forms and their relation to the Riemann zeta function2022-09-30Paper
The degenerate parts of spaces of meromorphic cusp forms under a regularized inner product2022-05-11Paper
Explicit Class number formulas for Siegel--Weil averages of ternary quadratic forms2022-03-30Paper
Universal sums of generalized heptagonal numbers2022-03-28Paper
Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function2021-12-23Paper
Class numbers and representations by ternary quadratic forms with congruence conditions2021-12-16Paper
Odd moments for the trace of Frobenius and the Sato--Tate conjecture in arithmetic progressions2021-12-15Paper
Conjectures of Sun about sums of polygonal numbers2021-09-29Paper
Regular ternary polygonal forms2021-08-19Paper
Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser2021-08-18Paper
On \(t\)-core and self-conjugate \((2t-1)\)-core partitions in arithmetic progressions2021-07-14Paper
Packing theory derived from phyllotaxis and products of linear forms. N2021-06-23Paper
A very special case of Siegel's mass formula and Hecke operators2021-05-03Paper
Representations of integers as sums of four polygonal numbers and partial theta functions2021-03-17Paper
Universal Sums of m-Gonal Numbers2021-03-11Paper
Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields2021-02-02Paper
Fermat's polygonal number theorem for repeated generalized polygonal numbers2020-11-24Paper
Corrigendum to: ``On divisors of modular forms2020-10-08Paper
Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms2020-09-03Paper
Central L‐values of elliptic curves and local polynomials2020-04-29Paper
Interesting identities involving weighted representations of integers as sums of arbitrarily many squares2020-03-04Paper
AN EXTENSION OF ROHRLICH’S THEOREM TO THE -FUNCTION2020-01-17Paper
An algebraic and analytic approach to spinor exceptional behavior in translated lattices2019-11-04Paper
Sums of class numbers and mixed mock modular forms2019-09-30Paper
Almost universal ternary sums of polygonal numbers2019-07-26Paper
Regularized inner products of meromorphic modular forms and higher Green’s functions2019-07-23Paper
The Bruinier-Funke pairing and the orthogonal complement of unary theta functions2019-02-07Paper
On divisors of modular forms2018-04-23Paper
Regularized inner products and weakly holomorphic Hecke eigenforms2018-03-01Paper
Number theoretic generalization of the monster denominator formula2017-12-29Paper
On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring2017-10-30Paper
On cycle integrals of weakly holomorphic modular forms2017-09-28Paper
On the Andrews-Zagier asymptotics for partitions without sequences2017-02-17Paper
Ramanujan and coefficients of meromorphic modular forms2016-12-21Paper
Modular local polynomials2016-12-20Paper
A problem of Petersson about weight 0 meromorphic modular forms2016-12-14Paper
Polar harmonic Maass forms and their applications2016-11-30Paper
Analogues of the Ramanujan-Mordell theorem2016-10-14Paper
Explicit congruences for mock modular forms2016-04-22Paper
Half-integral weight \(p\)-adic coupling of weakly holomorphic and holomorphic modular forms2016-01-21Paper
On the Andrews-Zagier asymptotics for partitions without sequences2015-11-22Paper
Locally Harmonic Maass Forms and the Kernel of the Shintani Lift2015-06-22Paper
On a completed generating function of locally harmonic Maass forms2014-08-22Paper
Shintani lifts and fractional derivatives for harmonic weak Maass forms2014-04-15Paper
Theta lifts and local Maass forms2014-01-28Paper
Faber polynomials and Poincaré series2013-08-05Paper
Secord-order cusp forms and mixed mock modular forms2013-06-26Paper
Lifting Automorphisms of Quotients by Central Subgroups2013-04-16Paper
Duality and Differential Operators for Harmonic Maass Forms2013-04-04Paper
The triangular theorem of eight and representation by quadratic polynomials2013-03-19Paper
THE ALIQUOT CONSTANT2012-06-12Paper
Mock modular forms as $p$-adic modular forms2012-04-27Paper
https://portal.mardi4nfdi.de/entity/Q28801052012-04-12Paper
https://portal.mardi4nfdi.de/entity/Q28801072012-04-12Paper
Inequalities for full rank differences of 2-marked Durfee symbols2011-12-23Paper
Equidistribution of Heegner points and ternary quadratic forms2011-08-16Paper
Inequalities for differences of Dyson's rank for all odd moduli2011-08-09Paper
Multiplicative $q$-hypergeometric series arising from real quadratic fields2011-05-06Paper
New identities involving sums of the tails related to real quadratic fields2011-01-17Paper
On almost universal mixed sums of squares and triangular numbers2011-01-06Paper
CM liftings of supersingular elliptic curves2010-08-25Paper
REPRESENTATIONS OF INTEGERS BY TERNARY QUADRATIC FORMS2010-03-29Paper
On simultaneous \(s\)-cores/\(t\)-cores2009-12-09Paper

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