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Showing 2019 · math.NTShow all
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math.NT2019★ 3 cited
Continued Fraction Proofs of -versions of Some Identities of Rogers-Ramanujan-Slater Type
Douglas Bowman, James Mc Laughlin, Nancy J. Wyshinski
We derive two general transformations for certain basic hypergeometric series from the recurrence formulae for the partial numerators and denominators of two -continued fraction…
math.NT2019★ 2 cited
Some properties of the distribution of the numbers of points on elliptic curves over a finite prime field
Saiying He, James Mc Laughlin
Let be a prime and for , let denote the elliptic curve over with equation . As usual define the tra…
math.NT2019★ 6 cited
A -continued fraction
Douglas Bowman, James Mc Laughlin, Nancy J. Wyshinski
We use the method of generating functions to find the limit of a -continued fraction, with 4 parameters, as a ratio of certain -series. We then use this result to give new pr…