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math.NT2026
Sign Patterns in a Two Colored Partition Companion series
Aritram Dhar, Ankush Goswami, Mohit Tripathi
We study three closely related questions arising from the recent work of Andrews and El Bachraoui on the two-color partition series \[ S_1(q)=\sum_{n\ge0}s_1(n)q^n=\sum_{a\ge0}q^a(…
math.NT2026
Sparse Distribution of Coefficients of -fold Product -functions at Integers Represented by Quadratic Forms
Anubhav Sharma, Mohit Tripathi, Lalit Vaishya
Let be a normalized Hecke eigenform. We study the Fourier coefficients of the -fold product -function fo…