Hecke Operator and Pellian Equation Conjecture
Let the prime p ≡ 3 (mod 4). In this note, we prove an identity relating Hecke operator to the conjecture that the least solution Open image in new window for Pellian equation x 2−py 2= 1 satisfies p ∤ u. We also find that the conjecture is a consequence of a conjecture on the Hecke operator.
Unable to display preview. Download preview PDF.
- H.W. Lu: Translation of Dedekind ri-function, Acta. Math. Scientia, (1988).Google Scholar