3 papers
math.NT2025
Effective Upper Bound Estimates for via Exponential Sums
Ting Liu, Jinjin Ma, Binjie Chang +1
In this paper, we use methods of exponential sums to derive a formula for estimating effective upper bounds of . Different effective upper bounds can be obtained by c…
math.NT2023
Values and recurrence relations for integrals of powers of arctan and logarithm and associated Euler-like sums
Xiaoyu Liu, Xinhua Xiong
In this paper, we give evaluations of integrals involving the arctan and the logarithm functions, and present several new summation identities for odd harmonic numbers and Milgram…
math.NT2016
A positivity conjecture related first positive rank and crank moments for overpartitions
Xinhua Xiong
Recently, Andrews, Chan, Kim and Osburn introduced a -series for the study of the first positive rank and crank moments for overpartitions. They conjectured that for all…