AbstractThe author has previously shown that there are exactly nine complex quadratic fields of class-number one. Here we show that the proof rests on some extremely interesting identities in modular functions which also provide a connection with the work of Heegner
AbstractA congruence modulo 8 is proved relating the class numbers of the quadratic fields Q(√p) and...
Here we study the integrality properties of singular moduli of a special non-holomorphic function γ(...
Gauss found 9 imaginary quadratic fields with class number one, and in the early 19th century conjec...
The author has previously shown that there are exactly nine complex quadratic fields of class-number...
AbstractIn 1952, Kurt Heegner gave a proof of the fact that there are exactly nine complex quadratic...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135153/1/blms0075.pd
AbstractThis paper presents a general congruence modulo a certain power of 2 relating the class numb...
The thesis starts with two expository chapters. In the first one we discuss abelian varieties with p...
AbstractCongruence conditions on the class numbers of complex quadratic fields have recently been st...
AbstractWe construct several rational period functions for modular integrals with weight 2k on the m...
AbstractLet Σ be an imaginary quadratic number field, and Ωf the ring class field extension of Σ for...
AbstractWe shall discuss the conjugacy problem of the modular group, and show how its solution, in c...
Classically, the theory of complex multiplication asserts that the value of the usualelliptic modula...
AbstractLet d, d1, d2 ϵ N be square free with d=d1d2, and let h(-d) and IK denote the class number a...
AbstractWe prove a congruence modulo a certain power of 2 for the class numbers of the quadratic fie...
AbstractA congruence modulo 8 is proved relating the class numbers of the quadratic fields Q(√p) and...
Here we study the integrality properties of singular moduli of a special non-holomorphic function γ(...
Gauss found 9 imaginary quadratic fields with class number one, and in the early 19th century conjec...
The author has previously shown that there are exactly nine complex quadratic fields of class-number...
AbstractIn 1952, Kurt Heegner gave a proof of the fact that there are exactly nine complex quadratic...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135153/1/blms0075.pd
AbstractThis paper presents a general congruence modulo a certain power of 2 relating the class numb...
The thesis starts with two expository chapters. In the first one we discuss abelian varieties with p...
AbstractCongruence conditions on the class numbers of complex quadratic fields have recently been st...
AbstractWe construct several rational period functions for modular integrals with weight 2k on the m...
AbstractLet Σ be an imaginary quadratic number field, and Ωf the ring class field extension of Σ for...
AbstractWe shall discuss the conjugacy problem of the modular group, and show how its solution, in c...
Classically, the theory of complex multiplication asserts that the value of the usualelliptic modula...
AbstractLet d, d1, d2 ϵ N be square free with d=d1d2, and let h(-d) and IK denote the class number a...
AbstractWe prove a congruence modulo a certain power of 2 for the class numbers of the quadratic fie...
AbstractA congruence modulo 8 is proved relating the class numbers of the quadratic fields Q(√p) and...
Here we study the integrality properties of singular moduli of a special non-holomorphic function γ(...
Gauss found 9 imaginary quadratic fields with class number one, and in the early 19th century conjec...
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