Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations. (English) Zbl 0885.11058
Using a variety of methods, the authors calculate the remaining thirteen class invariants left from Ramanujan’s notebooks. This concludes their work wherein they had calculated another five such invariants, which had gone unverified for a number of years.
Reviewer: R.Mollin (Calgary)
MSC:
| 11R29 | Class numbers, class groups, discriminants |
| 11R37 | Class field theory |
| 11R04 | Algebraic numbers; rings of algebraic integers |
| 11R42 | Zeta functions and \(L\)-functions of number fields |
| 11F27 | Theta series; Weil representation; theta correspondences |
| 33D10 | Basic theta functions (MSC1991) |
Keywords:
Kronecker’s limit formula; modular equations; class field theory; genus; Ramanujan’s class invariantsReferences:
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