Research in Number Theory

Title Publication Date Language Citations
Average bounds for the $$\ell $$ ℓ -torsion in class groups of cyclic extensions2018/08/10English6
On Classical groups detected by the triple tensor product and the Littlewood–Richardson semigroup2016/10/03English6
Criteria for the existence of cuspidal theta representations2016/08/08English6
A note on the higher order Turán inequalities for k-regular partitions2021/01/03English6
One-level density for holomorphic cusp forms of arbitrary level2017/12/01English6
Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions2020/02/20English6
On Fermat’s equation over some quadratic imaginary number fields2018/05/04English6
Cohen-Lenstra heuristics and local conditions2018/09/25English6
Asymptotics and congruences for partition functions which arise from finitary permutation groups2016/12/01English5
Diophantine m-tuples in finite fields and modular forms2021/01/03English5
Lifting subgroups of symplectic groups over "Equation missing"2017/07/03English5
Minimal models of rational elliptic curves with non-trivial torsion2021/11/27English5
Discrete mean square of the coefficients of symmetric square L-functions on certain sequence of positive numbers2022/02/24English5
Irreducible canonical representations in positive characteristic2015/05/29English5
One-level density of families of elliptic curves and the Ratios Conjecture2015/07/09English5
$${{\mathbb {Q}}}$$-curves over odd degree number fields2021/09/15English5
Polynomization of the Chern–Fu–Tang conjecture2021/03/22English5
Mean values of multiplicative functions over function fields2015/12/01English5
Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function2015/12/01English5
Cartan images and $$\ell $$ ℓ -torsion points of elliptic curves with rational j-invariant2018/02/20English5
The Mahler measure for arbitrary tori2018/03/23English5
Configuration of the crucial set for a quadratic rational map2016/07/05English5
On powers that are sums of consecutive like powers2017/02/14English5
Vector-valued modular forms and the mock theta conjectures2016/11/25English5
Certain product formulas and values of Gaussian hypergeometric series2020/06/17English5
Log-concavity of infinite product generating functions2022/08/03English5
A Gross–Kohnen–Zagier type theorem for higher-codimensional Heegner cycles2015/12/01English5
Dirichlet series associated to quartic fields with given cubic resolvent2016/10/04English5
Cuspidal part of an Eisenstein series restricted to an index 2 subfield2016/11/25English5
Traces of high powers of the Frobenius class in the moduli space of hyperelliptic curves2016/08/01English4