On the number of solutions of congruences and equations in G F [ q , x ] Shader, Leslie E. (1971) Portugaliae mathematica
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 f(n) = a for additive functions P. Erdös, I. Ruzsa, A. Sárközi (1973) 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 N - p = Pr. Jiahai Kan (1991) Journal für die reine und angewandte Mathematik
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 number of square classes of a field of finite level. Becher, Karim Johannes (2001) Documenta Mathematica
On the number of subgroups of finite abelian groups Aleksandar Ivić (1997) Journal de théorie des nombres de Bordeaux Let T ( x ) = K 1 x log 2 x + K 2 x log x + K 3 x + Δ ( x ) , where T ( x ) denotes the number of subgroups of all abelian groups whose order does not exceed x and whose rank does not exceed 2 , and Δ ( x ) is the error term. It is proved that ∫ 1 X Δ 2 ( x ) d x ≪ X 2 log 31 / 3 X , ∫ 1 X Δ 2 ( x ) d x = Ω ( X 2 log 4 X ) .
On the number of subgroups of given index in the modular group. W. Imrich, R. Razen (1979) Monatshefte für Mathematik
On the number of subsets of [ 1 , m ] relatively prime to n and asymptotic estimates. El Bachraoui, Mohamed (2008) Integers
On the number of subsets relatively prime to an integer. Ayad, Mohamed, Kihel, Omar (2008) Journal of Integer Sequences [electronic only]