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Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]
| Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
| Autore | Ralph Claire C. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (vi, 139 pages) : digital, PDF file(s) |
| Disciplina | 515.7242 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Differential operators
Arithmetic functions p-adic numbers |
| ISBN |
1-139-88774-2
1-139-08466-6 1-107-08994-8 1-107-10182-4 1-107-09621-9 1-107-10420-3 1-107-09312-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
| Record Nr. | UNINA-9910452494703321 |
Ralph Claire C.
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| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]
| Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
| Autore | Ralph Claire C. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (vi, 139 pages) : digital, PDF file(s) |
| Disciplina | 515.7242 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Differential operators
Arithmetic functions p-adic numbers |
| ISBN |
1-139-88774-2
1-139-08466-6 1-107-08994-8 1-107-10182-4 1-107-09621-9 1-107-10420-3 1-107-09312-0 |
| Classificazione |
MAT 123f
SI 320 SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
| Record Nr. | UNINA-9910779885203321 |
|
Ralph Claire C.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]
| Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
| Autore | Ralph Claire C. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (vi, 139 pages) : digital, PDF file(s) |
| Disciplina | 515.7242 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Differential operators
Arithmetic functions p-adic numbers |
| ISBN |
1-139-88774-2
1-139-08466-6 1-107-08994-8 1-107-10182-4 1-107-09621-9 1-107-10420-3 1-107-09312-0 |
| Classificazione |
MAT 123f
SI 320 SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
| Record Nr. | UNINA-9910810153203321 |
|
Ralph Claire C.
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| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bounds on transfer principles for algebraically closed and complete discretely valued fields / / Scott Shorey Brown
| Bounds on transfer principles for algebraically closed and complete discretely valued fields / / Scott Shorey Brown |
| Autore | Brown Scott Shorey <1951-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (99 p.) |
| Disciplina | 512/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebraic fields
Transfer functions p-adic numbers Valued fields |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0302-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Abstract""; ""Acknowledgements""; ""I. Introduction""; ""II. Prerequisites in Logic""; ""III. Methods for Limitation of Quantifiers""; ""IV. Additive Rational Numbers""; ""V. Additive Integers""; ""VI. Projection of a Set of Polynomials""; ""VII. Real Numbers""; ""VIII. Valued Fields""; ""IX. Algebraically Closed Fields""; ""X. Convergent Power Series Over Complete Algebraically Closed Valued Fields""; ""XI. Hensel's Lemma""; ""XII. Convergence of Series Solutions of Polynomials""
""XIII. Complete Discretely Valued Fields with Residue Class Field Z[sub(p)] and p Large""""XIV. Applications to the Ax-Kochen Transfer Principle and the Artin Conjecture""; ""Bibliography""; ""Notation""; ""Index"" |
| Record Nr. | UNINA-9910480124903321 |
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Brown Scott Shorey <1951->
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| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bounds on transfer principles for algebraically closed and complete discretely valued fields / / Scott Shorey Brown
| Bounds on transfer principles for algebraically closed and complete discretely valued fields / / Scott Shorey Brown |
| Autore | Brown Scott Shorey <1951-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (99 p.) |
| Disciplina | 512/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebraic fields
Transfer functions p-adic numbers Valued fields |
| ISBN | 1-4704-0302-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Abstract""; ""Acknowledgements""; ""I. Introduction""; ""II. Prerequisites in Logic""; ""III. Methods for Limitation of Quantifiers""; ""IV. Additive Rational Numbers""; ""V. Additive Integers""; ""VI. Projection of a Set of Polynomials""; ""VII. Real Numbers""; ""VIII. Valued Fields""; ""IX. Algebraically Closed Fields""; ""X. Convergent Power Series Over Complete Algebraically Closed Valued Fields""; ""XI. Hensel's Lemma""; ""XII. Convergence of Series Solutions of Polynomials""
""XIII. Complete Discretely Valued Fields with Residue Class Field Z[sub(p)] and p Large""""XIV. Applications to the Ax-Kochen Transfer Principle and the Artin Conjecture""; ""Bibliography""; ""Notation""; ""Index"" |
| Record Nr. | UNINA-9910788891503321 |
|
Brown Scott Shorey <1951->
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||
| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bounds on transfer principles for algebraically closed and complete discretely valued fields / / Scott Shorey Brown
| Bounds on transfer principles for algebraically closed and complete discretely valued fields / / Scott Shorey Brown |
| Autore | Brown Scott Shorey <1951-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (99 p.) |
| Disciplina | 512/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebraic fields
Transfer functions p-adic numbers Valued fields |
| ISBN | 1-4704-0302-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Abstract""; ""Acknowledgements""; ""I. Introduction""; ""II. Prerequisites in Logic""; ""III. Methods for Limitation of Quantifiers""; ""IV. Additive Rational Numbers""; ""V. Additive Integers""; ""VI. Projection of a Set of Polynomials""; ""VII. Real Numbers""; ""VIII. Valued Fields""; ""IX. Algebraically Closed Fields""; ""X. Convergent Power Series Over Complete Algebraically Closed Valued Fields""; ""XI. Hensel's Lemma""; ""XII. Convergence of Series Solutions of Polynomials""
""XIII. Complete Discretely Valued Fields with Residue Class Field Z[sub(p)] and p Large""""XIV. Applications to the Ax-Kochen Transfer Principle and the Artin Conjecture""; ""Bibliography""; ""Notation""; ""Index"" |
| Record Nr. | UNINA-9910817217203321 |
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Brown Scott Shorey <1951->
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| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910465328803321 |
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Rubin Karl
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| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910786510103321 |
|
Rubin Karl
|
||
| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910816804403321 |
|
Rubin Karl
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||
| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Formally P-Adic fields / / Alexander Prestel and Peter Raquette
| Formally P-Adic fields / / Alexander Prestel and Peter Raquette |
| Autore | Prestel A (Alexander), <1941-> |
| Edizione | [1st ed. 1984.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer-Verlag, , [1984] |
| Descrizione fisica | 1 online resource (VIII, 168 p.) |
| Disciplina | 512.74 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Valued fields
p-adic fields p-adic numbers |
| ISBN | 3-540-38768-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | and motivation -- p-valuations -- p-adically closed fields -- The general embedding theorem -- Model theory of p-adically closed fields -- Formally p-adic fields -- Function fields over p-adically closed fields. |
| Record Nr. | UNISA-996466539803316 |
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Prestel A (Alexander), <1941->
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| Berlin, Germany : , : Springer-Verlag, , [1984] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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