Primes of the Form x2+ny2

Topics covered in this volume include quadratic reciprocity, quadratic forms, genus theory, cubic and biquadratic reciprocity, class field theory, orders in quadratic fields and elliptic functions. The central themes are covered by the author at both elementary and advanced levels.

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Topics covered in this volume include: quadratic reciprocity, quadratic forms, genus theory, cubic and biquadratic reciprocity, class field theory, orders in quadratic fields, elliptic functions, modular functions and complex multiplication. The central question of when a prime p is of the form x2 + ny2 is covered by the author at both elementary and advanced level, thus making the book accessible to a wide range of readers.