2 problems

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The generalized double-exclusion Alder conjecture
Generalized double-exclusion Alder conjecture. Let $a,d$ be positive integers with $1\leq a\leq d+2$ . Then for all $n\geq 1$ ,
Conjectureopencongruence-conditions integer-partitions partition-inequalitiesarXiv posted 2 days ago
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The $1/4$ -exponent conjecture for the divisor problem with congruence conditions
For fixed integers $M_1,M_2$ and integers $leqslant\ell_1\leqslant M_1$ , $1\leqslant\ell_2\leqslant M_2$ , let $d(n;\ell_1,M_1,\ell_2,M_2)$ count factorizations $n=n_1n_2$ with…
Conjectureopenanalytic-number-theory congruence-conditions divisor-problemarXiv posted 2 days ago

The generalized double-exclusion Alder conjecture