The supplementary materials for two-term products of Pell by Pell-Lucas numbers equaling repdigits
This dataset file (.xlsx) provides supplementary support for the paper investigating whether the products of Pell numbers by Pell-Lucas numbers (Pm×Qn) can form repdigits in bases 2 to 10. These materials include computed results to determine the upper bounds of Pell and Pell-Lucas numbers based on Baker's theory and the generalized Baker-Davenport reduction method.
The Excel file consists of five worksheets:
"The computation results of the upper bound reduction using the generalized Baker-Davenport method for m, n (Pm: Pell number, Qn: Pell-Lucas number)":
・Reduction n Case I_Λ1 (1)
・Reduction n Case I_Λ1 (2)
・Reduction m Case II_Λ2
・Reduction m,n Case I,II_Λ3
"The roots of the nonlinear simultaneous inequalities and verification of function signs within the assumed range using the Maxima software package.": The roots_inequalities (28--30)