This is a preview. Log in through your library . Abstract Abstract Given a positive integer 𝑛 the 𝑘-fold divisor function 𝑑𝑘(𝑛) equals the number of ordered 𝑘-tuples of positive integers whose ...

Abstract: We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modulus and show that “on average” these sums are close to the expected value. We also give ...

Abstract: By using the q-analog of van der Corput's method, we study the divisor function in an arithmetic progression to modulus q. We show that the expected asymptotic formula holds for a larger ...

Title: Variance of the k-fold divisor function in arithmetic progressions for individual modulus Abstract: We discuss some background and the proof of Corollary 1 in arXiv:2205.02354. This result is ...

#2.4 Develop a function to find the GCD (Greatest Common Divisor) and LCM (Least Common Multiple) of two numbers. def gcd(a, b): #Defining a function to calculate the Greatest Common Divisor (GCD) of ...