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Showing 1 to 2 of 2 for “"class number one"”.
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On the solutions of certain congruences
… lead to Wieferich primes and Wieferich numbers. In another direction this thesis explores the extensions of these concepts to other number fields such as quadratic fields of class number one. We also study the solutions of the congruence g^m - g^n ≡ 0 (mod f^m - f^n); where m and n are …
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ON ASAI’S FUNCTION ANALOGOUS TO log |η(z)|
Kronecker’s first limit formula describes the constant term in the Laurent expansion of a non-holomorphic Eisenstein series at one of its poles. Asai generalised the limit formula to Eisenstein series of level one defined for a number field with class number one and obtained a function analogous to …