Problem #7

q-Supercongruences modulo the fifth and sixth powers of a cyclotomic polynomial are very rare in the literature. In this paper, we establish some q-supercongruences modulo the fifth and sixth powers of a cyclotomic polynomial in terms of Jackson'...

We study the problem of minimizing the supremum norm by monic polynomials with integer coefficients. Let M_n(Z) denote the monic polynomials of degree n with integer coefficients. A monic integer Chebyshev polynomial M_n ∈ M_n(Z) satisfies ||M_n||E = inf_{Pn ∈...}

Let @p be a partition. BG-rank(@p) is defined as an alternating sum of parities of parts of @p [A. Berkovich, F.G. Garvan, On the Andrews-Stanley refinement of Ramanujan's partition congruence modulo 5 and generalizations, Trans. Amer. Math. Soc. 358 (...