Summing It Up: From One Plus One to Modern Number Theory by Avner Ash and Robert Gross - 2016

Princeton University Press, 2016. Hardbound. New Book. Hardbound. In the third volume of a series of leisurely books on number theory for general mathematically literate readers, Ash and Gross focus on modular forms, which they mention in the two earlier volumes but do not discuss fully. The three books can be read independently. In sections on finite sums, infinite sums, and modular forms and their applications, they consider such topics as sums of three and four squares, sums of powers using lots of algebra, zeta and Bernoulli, the upper half-plane, how many modular forms there are, and partitions and sums of squares revisited. (2016 Ringgold, Inc., Portland, OR)