Research in Number Theory

Title Publication Date Language Citations
Elliptic curves over ℚ $\mathbb {Q}$ and 2-adic images of Galois2015/10/07English35
Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q)and ϕ(q)2015/12/01English32
Moments of zeta and correlations of divisor-sums: IV2016/11/21English16
Hyperbolicity of the partition Jensen polynomials2019/04/16English15
Weierstrass mock modular forms and elliptic curves2015/12/01English12
Partition zeta functions2016/03/15English10
Characterization of global fields by Dirichlet L-series2018/11/26English10
Divisibility properties of sporadic Apéry-like numbers2016/02/14English10
A large arboreal Galois representation for a cubic postcritically finite polynomial2017/12/01English9
A criterion to rule out torsion groups for elliptic curves over number fields2016/01/20English9
Records on the vanishing of Fourier coefficients of powers of the Dedekind eta function2018/07/30English9
Cracking the problem with 332019/07/19English9
A new formula for Chebotarev Densities2017/12/01English8
A finite field analogue of the Appell series $$F_4$$ F 42018/08/14English8
Efficient computation of the Euler–Kronecker constants of prime cyclotomic fields2020/12/25English8
Uniform boundedness in terms of ramification2018/01/31English8
Isogeny graphs of ordinary abelian varieties2017/11/01English7
Newton polygons arising from special families of cyclic covers of the projective line2019/01/09English7
The weak form of Malle’s conjecture and solvable groups2020/01/03English7
Exact formulae for the fractional partition functions2020/04/21English7
Perturbed moments and a longer mollifier for critical zeros of $$\zeta $$ ζ2018/02/06English7
A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins2016/03/01English7
An explicit form of the polynomial part of a restricted partition function2017/01/05English7
On mex-related partition functions of Andrews and Newman2021/08/09English6
Square-full polynomials in short intervals and in arithmetic progressions2017/01/17English6
Some mixed character sum identities of Katz II2017/04/03English6
Divisibility of Andrews’ singular overpartitions by powers of 2 and 32019/06/18English6
On the arithmetic of simple singularities of type E2018/04/16English6
A cubic transformation formula for Appell–Lauricella hypergeometric functions over finite fields2018/05/29English6
Formulas for Chebotarev densities of Galois extensions of number fields2018/11/13English6