Abstract We give arithmetic formulas for the coefficients of Hauptmoduln of higher level as analogues of Kaneko’s formula for the 𝑗-invariant. We also obtain their asymptotic formulas by employing ...

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...

You may never have heard of modular arithmetic, but you use it every day without the slightest difficulty. In this system, numbers wrap around when they reach a certain size called the modulus; it is ...

Are you in Key Stage 2 and studying for the 2025 maths SATs? We've got you! The KS2 Arithmetic paper will ask you questions which really test your maths skills. So if you’re puzzled by percentages, ...