Congruences for Fourier coefficients of integer weight modular forms have been the focal point of a number of investigations. In this note we shall exhibit congruences for Fourier coefficients of a… (More)

In this paper we prove (in a rather more precise form) two conjectures of P. Erdős about the maximum and minimum values of the divisor function on intervals of length k .

Manuscript Number: Full Title: Logarithmic Means and Double Series of Bessel Functions Article Type: Research Paper Section/Category: SPECIAL ISSUE in Memory of Paul Bateman and Heini Halberstam

The Twin Prime Conjecture is a difficult unsolved problem in number theory; it states that there are infinitely many primes p such that p+2 is also prime. This is a special case of a more general… (More)