By Joseph J. Lehner
This concise quantity offers an expository account of the idea of modular varieties and its program to quantity concept and research. compatible for complex undergraduates and graduate scholars in arithmetic, the remedy starts off with classical fabric and leads progressively to trendy advancements. must haves contain a seize of the weather of complicated variable thought, crew conception, and quantity theory.
The establishing chapters outline modular types, boost their most crucial houses, and introduce the Hecke modular kinds. next chapters discover the automorphisms of a compact Riemann floor, improve congruences and different mathematics homes for the Fourier coefficients of Klein's absolute modular invariant, and talk about analogies with the Hecke concept in addition to with the Ramanujan congruences for the partition functionality. sizeable notes on the finish of every bankruptcy offer distinct motives of the text's more challenging points.
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