On power residues
On power residues
On prime divisors of Mersenne numbers
On prime factors of sums of integers I
On prime factors of sums of integers III
On prime numbers p,q and r such that pq, pr, and qr are pseudoprimes
On prime values of reducible quadratic polynomials
It is shown that Dickson’s Conjecture about primes in linear polynomials implies that if f is a reducible quadratic polynomial with integral coefficients and non-zero discriminant then for every r there exists an integer such that the polynomial represents at least r distinct primes.
On prime-detecting sequences from Apéry's recurrence formulae for and .
On primitive roots.
On properties of systems of arithmetic sequences
On pseudoprime numbers of special form
On pseudoprimes having special forms and a solution of K. Szymiczek’s problem
We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.
On q-Euler numbers, q-Salié numbers and q-Carlitz numbers
On Ramanujan expansions of certain arithmetical functions
On Ramanujan's continued fraction
On Ramanujan's cubic continued fraction
On recurrent mod p sequences.
On relatively prime sets.
On relatively prime subsets and supersets.
On repdigit polygonal numbers.