Integrality of Quotients of Wronskians of the Andrews-gordon Series
نویسنده
چکیده
For integers k ≥ 2, we consider the integrality of quotients of Wronskians involving certain normalizations of the Andrews-Gordon q-series (see [2]) ∏ 1≤n "≡ 0,±i (mod 2k+1) 1 1 − qn . This study is motivated by the appearance of these series in conformal field theory as irreducible characters of Virasoro minimal modules. We establish an upper bound on primes p for which such quotients of Wronskians are non-p-integral. Also, we show that for primes p below this bound, the p-integrality of these quotients depends only on their first few coefficients.
منابع مشابه
Integrality Properties of Quotients of Wronskians of the Andrews-gordon Series
For positive integers k ≥ 2, we consider the integrality of quotients of Wronskians involving certain normalizations of the Andrews-Gordon q-series ∏ 1≤n 6≡0,±i(mod2k+1) 1 1− qn . This study is motivated by the appearance of these series in conformal field theory as irreducible characters of Virasoro minimal modules. We establish an upper bound on primes p for which such quotients of Wronskians...
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