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20192026
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65 citations · 89 across the 16 of their papers we have counts for

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math.NT2026

Maximising the number of solutions to linear equations

Žarko Ranđelović, Xuancheng Shao, Max Wenqiang Xu +2

We study the asymptotically maximal possible number of integer solutions to the linear equation with a fixed choice of and variables $x, y,…

math.NT2022

Euler-Kronecker constants for cyclotomic fields

Letong Hong, Ken Ono, Shengtong Zhang

The Euler-Mascheroni constant is the example of an Euler-Kronecker constant of a number field In this note we consider the size of the $…

math.NT2021★ 1 cited

Proof of the elliptic expansion Moonshine Conjecture of Căldăraru, He, and Huang

Letong Hong, Michael H. Mertens, Ken Ono +1

Using predictions in mirror symmetry, Căldăraru, He, and Huang recently formulated a "Moonshine Conjecture at Landau-Ginzburg points" for Klein's modular -function at and…

math.NT2021★ 2 cited

Proof of the Ballantine-Merca Conjecture and theta function identities modulo 2

Letong Hong, Shengtong Zhang

For positive integers we consider the theta functions . Due to classical identities of Jacobi, it is known that $$f_4\equiv f_6f_{12}\pmo…

math.NT2020★ 1 cited

A Bombieri-Vinogradov Theorem for primes in short intervals and small sectors

Tanmay Khale, Cooper O'Kuhn, Apoorva Panidapu +2

Let be a finite Galois extension of . We count primes in short intervals represented by the norm of a prime ideal of satisfying a small sector condition determi…