collaborators

6 papers

math.NT2026

Modularity criteria for multiple Eisenstein series

Jinbo Yu

We give two criteria for a linear combination of multiple Eisenstein series of fixed weight to be a modular form, one in terms of its Fourier coefficients and one in terms of its $…

math.NT2026

Schur Eisenstein series and Schur MacMahon series

Henrik Bachmann, Jinbo Yu

We introduce and study two partition-indexed families of quasimodular forms obtained from Schur functions: Schur Eisenstein series and Schur MacMahon series. An explicit transition…

math.NT2026

The Young Tableaux Hopf algebra and multiple Schur series

Jinbo Yu

In this paper, we introduce multiple Schur series, which are defined by Schur-type sums over semi-standard Young tableaux and generalize both Schur multiple zeta values and multipl…

math.NT2026

Positive density for Sun's conjecture

Songlin Han, Jinbo Yu

In 2013, Zhi-Wei Sun proposed a Romanov-type conjecture stating that every integer can be written as with such that is a prime. In this p…

math.NT2026

Almost-primes in Sun's conjecture

Songlin Han, Jinbo Yu

In 2015 Zhi-Wei Sun proposed the conjecture that any integer admits a partition with integers such that and are simultaneously p…

math.NT2023

The mean square of the product of the Riemann zeta-function and a Dirichlet polynomial in the critical strip

Jinbo Yu

We refine a previous work of K. Matsumoto and H. Ishikawa, obtaining an asymptotic formula for the mean square of the product of the Riemann zeta-function and a Dirichlet polynomia…