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[PDF] Top 20 p Tower Groups over Quadratic Imaginary Number Fields

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p Tower Groups over Quadratic Imaginary Number Fields

p Tower Groups over Quadratic Imaginary Number Fields

... many quadratic imaginary number fields with finite 3-towers and d = 2, the earliest discovered being the example of Scholz and Taussky mentioned in the ...(or p-towers for any odd ... See full document

10

On approximations over ideal bases in quadratic number fields

On approximations over ideal bases in quadratic number fields

... of imaginary fields, to replace all those representative ideals of varipus equivalence classes, whose corres­ ponding quadratic forms are not reduced, by suitable equivalent ideals with corresponding ... See full document

140

p Capitulation over Number Fields with p Class Rank Two

p Capitulation over Number Fields with p Class Rank Two

... 5, p. 20). All three proofs were expressed for complex quadratic base fields K, but since the cover ([25] ...algebraic number field K, in particular also for a real quadratic field ... See full document

14

Deep Transfers of p Class Tower Groups

Deep Transfers of p Class Tower Groups

... Hilbert p -Class Field Towers, p -Class Groups, p -Principalization, Quadratic Fields, Dihedral Fields of Degree 2 p ; Finite p -Groups, Two-Step ... See full document

15

Lattice methods for finding rational points on varieties over number fields

Lattice methods for finding rational points on varieties over number fields

... is imaginary quadratic and O K is ...five number fields satisfying these conditions: Q( √ −1), Q( √ −2), Q( √ −3), Q( √ −7) and Q( √ ... See full document

109

Successive Approximation of p Class Towers

Successive Approximation of p Class Towers

... of quadratic fields F =  ( ) d , at a time when the concept of class field theory was not yet ...of quadratic class numbers which even contain the structures of the associated class groups Cl ... See full document

26

Quadratic Extensions of Cyclic Quintic Number Fields

Quadratic Extensions of Cyclic Quintic Number Fields

... of quadratic relative extensions of absolute discrimi- nant less than 3 · 2 15 ·d 2 F in absolute ...relative quadratic extension, the corresponding relative dis- criminant, the corresponding polynomial ... See full document

5

Periodic Sequences of p Class Tower Groups

Periodic Sequences of p Class Tower Groups

... of quadratic number fields K with 3-class group Cl ( ) 3 K of type (3,3) , originally investigated by ourselves in [16]-[18], and extended by Boston, Bush and Hajir in ...3-class tower ... See full document

11

Index p Abelianization Data of p Class Tower Groups

Index p Abelianization Data of p Class Tower Groups

... complex quadratic fields in [6] to arbitrary base fields K and yield the first examples of real quadratic fields having a p -class tower of exact length ...against ... See full document

28

On Lifting and Modularity of Reducible Residual Galois Representations Over Imaginary Quadratic Fields

On Lifting and Modularity of Reducible Residual Galois Representations Over Imaginary Quadratic Fields

... such representations where q = #F. This demonstrates that in general not all reducible representations τ can be modular (of a particular level and weight), as the number of such characteristic zero automorphic ... See full document

30

Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field

Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field

... called imaginary quadratic number fields and their corresponding sets of ...an imaginary quadratic number field may not always hold, the ideals of the ring of integers ... See full document

38

Modular symbols over number fields

Modular symbols over number fields

... The aim of this thesis is to contribute to the extension of the modular symbols method, when possible developing algorithms and implementations for effective computations. Some parts of the theory are purely algebraic ... See full document

148

Relationships Between Prior Experiences, Current Teaching Contexts, and Novice Teachers' Use of Concrete Representation for Mathematics Instruction

Relationships Between Prior Experiences, Current Teaching Contexts, and Novice Teachers' Use of Concrete Representation for Mathematics Instruction

... of quadratic fields over the centuries produced extensive results as it is the most basic of number fields over the ...cubic fields and number fields with ... See full document

92

Overconvergent modular symbols over number fields

Overconvergent modular symbols over number fields

... the imaginary quadratic case, this interpolation property does not necessarily determine the distribution uniquely; we conclude by remarking on this lack of ...the p-adic L-function of Φ to be the ... See full document

218

On Serre's uniformity conjecture for semistable elliptic curves over totally real fields

On Serre's uniformity conjecture for semistable elliptic curves over totally real fields

... curves over number fields, whose proofs make essential use of Merel’s ...a number field that does not contain the Hilbert class field of an imaginary quadratic field, then there ... See full document

8

On Fermat’s equation over some quadratic imaginary number fields

On Fermat’s equation over some quadratic imaginary number fields

... for p ≥ 19 when K ∈ {Q(i), Q( √ −2)} and p ≥ 17 when K = Q( √ −7) and we rely on previous work on Fermat’s Last Theorem over number fields to conclude the same result for small values of ...for ... See full document

16

On elliptic curves of prime power conductor over imaginary quadratic fields with class number one

On elliptic curves of prime power conductor over imaginary quadratic fields with class number one

... a modular elliptic curve (see Conjecture 1) of prime power conductor. If E has potentially good reduction, there is a well-known bound for its minimal discriminant D(E), so we can focus on the semistable case. If ` is a ... See full document

34

Euler systems for modular forms over imaginary quadratic fields

Euler systems for modular forms over imaginary quadratic fields

... Selmer groups we study in the present paper can also be interpreted in terms of Rankin– Selberg convolutions: they are the Selmer groups over Q of the convolution of f with the theta- series modular ... See full document

43

Class Number Formula for Certain Imaginary Quadratic Fields

Class Number Formula for Certain Imaginary Quadratic Fields

... Thus deducing a congruence of an Euler number through the class number (or one of its equivalent forms) is in the reverse direction, i. e. rather similar to the related problem of Chowla which asks for an ... See full document

6

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... Choosing the word rehabilitation instead of restoration in the project title: “The Rehabilitation and Expansion of the Tourism Infrastructure in the Town of Rupea” (Stimulating the Economic Development in the Region of ... See full document

16

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