Mathematicians have found a framework for the celebrated Rogers-Ramanujan identities and their arithmetic properties, solving another long-standing mystery stemming from the work of Indian math genius ...

For many students, algebraic formulas are "abracadabra": they lack symbol sense. Symbol sense includes identifying the structure of algebraic formulas, giving meaning to them, and reasoning with and ...

Algebraic structures, encompassing groups, rings and various classes of associative and nonassociative algebras, provide a unifying framework for symmetries and operations across mathematics and ...

A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division. Laws of logarithms and exponents Revise what logarithms are and how to use ...

Exponential sums appear in the study of algebraic varieties over finite fields through sums of additive or multiplicative characters evaluated at polynomial functions. L-functions encapsulate ...