Research in Number Theory

Title Publication Date Language Citations
The Generalized Riemann Hypothesis from zeros of the zeta function2024/01/18English
On compatibility in restriction of Arthur’s conjecture for R-groups2024/01/18English
Additive arithmetic functions meet the inclusion-exclusion principle, II2023/10/21English
Structure of 2-class groups in the $${\mathbb {Z}}_{2}$$-extensions of certain real quadratic fields2023/10/21English
Reciprocity and the kernel of Dedekind sums2023/11/08English
On further application of the zeta distribution to number theory2023/11/08English
On powerful integers expressible as sums of two coprime fourth powers2023/11/07English
Integers with a sum of co-divisors yielding a square2024/03/21English
Degrees of some orthogonal Deligne–Lusztig varieties2024/03/26English
Pointwise and correlation bounds on Dedekind sums over small subgroups2024/03/15English
On the distribution of index of Farey sequences2024/03/12English
Torsion phenomena for zero-cycles on a product of curves over a number field2024/03/27English
Effective estimates for traces of singular moduli2024/03/16English
The modularity of Siegel’s zeta functions2024/03/22English
Deep hole lattices and isogenies of elliptic curves2024/03/25English
An analog of the Edwards model for Jacobians of genus 2 curves2024/03/25English
Greatest common divisor results on semiabelian varieties and a conjecture of Silverman2024/01/23English
A note on non-periodic greedy expansions in Salem base2024/01/29English
Modular forms and an explicit Chebotarev variant of the Brun–Titchmarsh theorem2023/06/04English
Kampé de Fériet hypergeometric functions over finite fields2023/06/28English
Ranks of elliptic curves and deep neural networks2023/06/28English
On the distribution of polynomials having a given number of irreducible factors over finite fields2023/01/04English
The CM class number one problem for curves of genus 22023/01/17English
Equidistribution of solutions of ternary quadratic congruences modulo prime powers2024/04/23English
A bijection for tuples of commuting permutations and a log-concavity conjecture2024/04/17English
Diophantine triples with three parameters2024/04/14English
Vertical Atkin-Serre conjecture and extremal primes in a family of L-functions2024/04/13English
The Turán and Laguerre inequalities for quasi-polynomial-like functions2024/04/21English
On equivariant class formulas for Anderson modules2023/09/26English
Algebraic and arithmetical properties of Mahler infinite products generated by the second degree polynomials2023/08/28English