On variants of Chowla’s conjecture

Key Points

• The aim is to explore shifted convolution sums related to specific multiplicative functions and their implications on Chowla's conjecture.
• Studied shifted convolution sums associated with completely multiplicative functions.
• Provided combinatorial proofs for recent results relevant to Chowla's conjecture.
• Determined the corresponding spectrum related to these functions.
• Confirmed two recent results supporting aspects of Chowla's conjecture.
• Defined the spectrum of the associated multiplicative functions.