40 citations
- Hartford Financial Services (United States)11 papers
- Trinity CollegeCA11 papers
- Northern Illinois UniversityUS4 papers
- West Chester UniversityUS3 papers
- Texas Tech UniversityUS2 papers
- University of OklahomaUS2 papers
- Authorised Association ConsortiumTZ1 paper
- Center for Astrophysics Harvard & SmithsonianUS1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Columbia UniversityUS1 paper
- Laboratoire d'Astrophysique de BordeauxFR1 paper
- Smithsonian Astrophysical ObservatoryUS1 paper
11 papers
The ELM Survey South. II. Two dozen new low mass white dwarf binaries
Alekzander Kosakowski, Warren R. Brown, Mukremin Kilic +5
We present the results from our ongoing spectroscopic survey targeting low mass white dwarf binaries, focusing on the southern sky. We used a Gaia DR2 and eDR3 based selection and…
The ELM Survey. IX. A Complete Sample of Low Mass White Dwarf Binaries in the SDSS Footprint
Warren R. Brown, Mukremin Kilic, Alekzander Kosakowski +1
We present the discovery of 17 double white dwarf (WD) binaries from our on-going search for extremely low mass (ELM) <0.3 Msun WDs, objects that form from binary evolution. Gaia p…
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…
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…
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…
Further Combinatorial Identities deriving from the -th power of a matrix
James Mc Laughlin, Nancy J. Wyshinski
In this paper we use a formula for the -th power of a matrix (in terms of the entries in ) to derive various combinatorial identities. Three examples of our re…