Jinbo Yu

works on

hopf algebras 1 modular forms 1 partition theory 1 quasimodular forms 1 schur functions 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.NT2026

Schur Eisenstein series and Schur MacMahon series

Henrik Bachmann, Jinbo Yu

The paper defines two new families of quasimodular forms built from Schur functions—called Schur Eisenstein series and Schur MacMahon series—and studies their algebraic relations,…

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 $2^{k} + m$ conjecture

Songlin Han, Jinbo Yu

In 2013, Zhi-Wei Sun proposed a Romanov-type conjecture stating that every integer $n > 1$ can be written as $n = k + m$ with $k, m \geq 1$ such that $2^{k} + m$ is a prime. In this p…

math.NT2026

Almost-primes in Sun's $x^{2} + n y^{2}$ conjecture

Songlin Han, Jinbo Yu

In 2015 Zhi-Wei Sun proposed the conjecture that any integer $n > 1$ admits a partition $n = x + y$ with integers $x, y > 0$ such that $x + n y$ and $x^{2} + n y^{2}$ are simultaneously p…

Schur Eisenstein series and Schur MacMahon series

The Young Tableaux Hopf algebra and multiple Schur series

Positive density for Sun's 2k+m conjecture

Almost-primes in Sun's x2+ny2 conjecture

Positive density for Sun's $2^{k} + m$ conjecture

Almost-primes in Sun's $x^{2} + n y^{2}$ conjecture