On the number of prime factors of a finite arithmetical progression T. N. Shorey, R. Tijdeman (1992) Acta Arithmetica
On the number of rational squares at fixed distance from a fifth power Michael Stoll (2006) Acta Arithmetica
On the number of representations of an integer by a linear form. Alon, Gil, Clark, Pete L. (2005) Journal of Integer Sequences [electronic only]
On the Number of S-Integral Solutions to Ym = f(x). Paul M. Voutier (1995) Monatshefte für Mathematik
On the number of solutions of decomposable polynomial equations A. Berczes, K. Gyory (2002) Acta Arithmetica
On the number of solutions of exponential congruences Antal Balog, Kevin A. Broughan, Igor E. Shparlinski (2011) Acta Arithmetica
On the number of solutions of linear equations in units of an algebraic number field. K. Györy (1979) Commentarii mathematici Helvetici
On the number of solutions of simultaneous Pell equations II Michael A. Bennett, Mihai Cipu, Maurice Mignotte, Ryotaro Okazaki (2006) Acta Arithmetica
On the number of solutions of the generalized Ramanujan-Nagell equation x ² - D = 2 n + 2 Maohua Le (1991) Acta Arithmetica
On the numbers of solutions of weighted unit equations J. H. Evertse, K. Györy (1988) Compositio Mathematica
On the numbers that are representable as the sum of two cubes. Christopher Hooley (1980) Journal für die reine und angewandte Mathematik
On the Pellian equation and the class number of indefinite binary quadratic forms. Christopher Hooley (1984) Journal für die reine und angewandte Mathematik
On the positive integral solutions of the Diophantine equation x 3 + b y + 1 - x y z = 0 . Luca, Florian, Togbé, Alain (2008) Bulletin of the Malaysian Mathematical Sciences Society. Second Series
On the power-free parts of consecutive integers B. M. M. de Weger, C. E. van de Woestijne (1999) Acta Arithmetica
On the powerful part of n 2 + 1 Jan-Christoph Puchta (2003) Archivum Mathematicum We show that n 2 + 1 is powerfull for O ( x 2 / 5 + ϵ ) integers n ≤ x at most, thus answering a question of P. Ribenboim.
On the Product of Consecutive Elements of an Arithmetic Progression. R. Marszalek (1985) Monatshefte für Mathematik
On the quantitative unit sum number problem-an application of the subspace theorem Alan Filipin, Robert Tichy, Volker Ziegler (2008) Acta Arithmetica