Number theory : proceedings of the 4th Matscience Conference held at Ootacamund, India, January 5-10, 1984 / / edited by Krishnaswami Alladi
| Number theory : proceedings of the 4th Matscience Conference held at Ootacamund, India, January 5-10, 1984 / / edited by Krishnaswami Alladi |
| Edizione | [1st ed. 1985.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [1985] |
| Descrizione fisica | 1 online resource (IV, 220 p.) |
| Disciplina | 512.7 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Number theory |
| ISBN | 3-540-39642-X |
| Classificazione | 10-06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A study of the moments of additive functions using laplace transforms and sieve methods -- A hybrid version of a theorem of Ingham -- Remarks on some of Ramanujan's number theoretical discoveries found in his second notebook -- Two generalizations of Ramanujan's continued fraction identities -- The combinatorial sieve -- On some of my problems in number theory i would most like to see solved -- Problems and result on additive properties of general sequences, IV -- The functions of the linear sieve (summary) -- An extended Nagell Totient and related Ramanujan sums -- On projective representations of finite Abelian groups -- Sums of reciprocals of some non-vanishing multiplicative functions -- A remark on a paper of K. Ramachandra -- Jac obsthal sums in terms of quadratic partitions of a prime -- Fourier coefficients of modular forms -- On the distribution of round numbers -- Some Remarks in number theory -- Basic analogues of transformations of nearly-poised basic hypergeometric series. |
| Record Nr. | UNISA-996466574103316 |
| Berlin, Heidelberg : , : Springer-Verlag, , [1985] | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Number theory : proceedings of the Third Matscience Conference held at Mysore, India, June 3-6, 1981 / / edited by K. Alladi
| Number theory : proceedings of the Third Matscience Conference held at Mysore, India, June 3-6, 1981 / / edited by K. Alladi |
| Edizione | [1st ed. 1982.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1982 |
| Descrizione fisica | 1 online resource (IX, 183 p.) |
| Disciplina | 512.7 |
| Collana | Lecture notes in mathematics |
| Soggetto topico | Number theory |
| ISBN | 3-540-39279-3 |
| Classificazione | 10-06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Additive functions and special sets of integers -- Some new problems and results in number theory -- Some recent results on positive values of non-homogeneous indefinite quadratic forms -- On a number of theoretical problems involved in the study of the physics of spin-systems -- Order-free integers (mod m) -- Perfect totient numbers -- A brief summary of some results in the analytic theory of numbers-II -- Addendum to my paper a brief summary of some results in the analytic theory of numbers -- Some ?-results for Ramanujan’s ?-function -- On certain expoential and character sums -- Partitions with congruence conditions and color restrictions -- Problem session (Chaired by Prof. P. Erdös) two problems proposed by K. Ramachandra. |
| Record Nr. | UNISA-996466381703316 |
| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1982 | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Number Theory, Madras 1987 : proceedings of the International Ramanujan Centenary Conference held at Anna University, Madras, India, Dec. 21, 1987 / / Krishnaswami Alladi (editor)
| Number Theory, Madras 1987 : proceedings of the International Ramanujan Centenary Conference held at Anna University, Madras, India, Dec. 21, 1987 / / Krishnaswami Alladi (editor) |
| Edizione | [1st ed. 1989.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , [1989] |
| Descrizione fisica | 1 online resource (VIII, 236 p.) |
| Disciplina | 510 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico | Mathematics |
| ISBN | 3-540-46681-9 |
| Classificazione | 10-06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Ramanujan and I -- Appendix: On composite numbers -- The distribution of additive functions in special sets of integers -- An identity of sylvester and the rogers-ramanujan identities -- Variations on the Rogers-Ramanujan continued fraction in Ramanujan's notebooks -- Beta integrals and the associated orthogonal polynomials -- Ramanujan and the theory of prime numbers -- Lattice paths and the Rogers-Ramanujan identities -- Multiplicative properties of ?-products -- Some asymptotic formulae involving powers of arithmetic functions. |
| Record Nr. | UNISA-996466599603316 |
| Berlin : , : Springer-Verlag, , [1989] | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Quadratic and higher degree forms / / Krishnaswami Alladi ... [et al.], editors
| Quadratic and higher degree forms / / Krishnaswami Alladi ... [et al.], editors |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, c2013 |
| Descrizione fisica | 1 online resource (ix, 298 pages) |
| Disciplina | 512.74 |
| Altri autori (Persone) | AlladiKrishnaswami |
| Collana | Developments in mathematics |
| Soggetto topico |
Forms, Quadratic
Lattice theory |
| ISBN | 1-4614-7488-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Toy Models for D. H. Lehmer's Conjecture II (E. Bannai, T. Miezaki) -- On the Representation of an Integer by X2+Y2+Z2 and the Modular Equations of Degree 3 and 5 (A. Berkovich) -- Almost Universal Ternary Sums of Squares and Triangular Numbers (W. Chan, A. Haensch) -- Weighted Generating Functions for Type II Lattices and Codes (N. Elkies, S. Kominers) -- Quadratic and Automorphic Forms (J. Hanke) -- Integral Positive Ternary Quadratic Forms (W. Jagy) -- Some Aspects of the Algebraic Theory of Quadratic Forms (R. Parimala) -- On the Length of Binary Forms (B. Reznick) -- Representation of Quadratic Forms by Integral Quadratic Forms (R. Schulze-Pillot) -- Identifying the Matrix Ring (J. Voight). |
| Record Nr. | UNINA-9910739411603321 |
| New York, : Springer, c2013 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ramanujun 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida / / Krishnaswami Alladi, Frank Garvan, Ae Ja Yee, editors
| Ramanujun 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida / / Krishnaswami Alladi, Frank Garvan, Ae Ja Yee, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (174 p.) |
| Disciplina | 512.7 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Functions, Theta
Lie algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2039-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Hecke grids and congruences for weakly holomorphic modular forms""; ""1. Introduction""; ""2. Preliminaries""; ""3. Hecke grids on Î?*(1)""; ""4. Hecke grids on Î?*(2)""; ""5. Hecke grids on Î?*(3)""; ""6. Hecke grids on Î?*(4)""; ""References""; ""Knots and -series""; ""1. Introduction""; ""2. Background""; ""3. Proof of (1.5)""; ""4. Proof of (1.6)""; ""5. Proof of (1.7)""; ""6. The -series for the 8â?? knot.""; ""7. Conclusion""; ""References""; ""A partition inequality involving products of two -Pochhammer symbols""
""1. Introduction""""2. Notation""; ""3. The Injection""; ""4. The Inverse""; ""5. Examples""; ""6. Proofs of the Dual and the Generalization""; ""7. Two Invariants of the Injections""; ""8. Conclusion""; ""Acknowledgements""; ""References""; ""Analogues of Koshliakovâ€?s formula""; ""1. Introduction""; ""2. Preliminary Results""; ""3. Analogues of Koshliakovâ€?s Formula""; ""References""; ""How to prove Ramanujanâ€?s -continued fractions""; ""1. Introduction""; ""2. Eulerâ€?s approach""; ""3. The Rogers-Ramanujan Continued Fraction""; ""4. Convergence matters"" ""5. More continued fractions by Eulerâ€?s approach""""6. The role of transformation formulas""; ""7. A dose of insight into algebraical formulae""; ""8. Infinite products as continued fractions""; ""9. Conclusion""; ""References""; ""A nonsingular â?? curve of genus 4""; ""1. Introduction""; ""2. Definition of the Surface""; ""3. Inversion of Thomaeâ€?s Formulas and Other Identities""; ""References""; ""Ramanujanâ€?s radial limits""; ""1. Introduction and Statement of Results""; ""Acknowledgements""; ""2. Sketch of the proof of Theorem 1.2""; ""3. Proof of Theorem 1.3"" ""4. Discussion related to Theorem 1.3""""References""; ""An identity that may have changed the course of history""; ""1. Introduction""; ""2. Jacobiâ€?s triple product identity""; ""3. An important special case of Jacobiâ€?s triple product identity""; ""4. Obtaining Ramanujanâ€?s identity""; ""5. Additional comments""; ""6. Notice""; ""References""; ""The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangleâ€?""; ""1. Introduction""; ""2. The main result"" ""1. Mathematical Background"" |
| Record Nr. | UNINA-9910480116603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ramanujun 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida / / Krishnaswami Alladi, Frank Garvan, Ae Ja Yee, editors
| Ramanujun 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida / / Krishnaswami Alladi, Frank Garvan, Ae Ja Yee, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (174 p.) |
| Disciplina | 512.7 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Functions, Theta
Lie algebras |
| ISBN | 1-4704-2039-2 |
| Classificazione | 05A1911A2511E2511F3311F3711P8414K2517B6730B7033D15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Hecke grids and congruences for weakly holomorphic modular forms""; ""1. Introduction""; ""2. Preliminaries""; ""3. Hecke grids on Î?*(1)""; ""4. Hecke grids on Î?*(2)""; ""5. Hecke grids on Î?*(3)""; ""6. Hecke grids on Î?*(4)""; ""References""; ""Knots and -series""; ""1. Introduction""; ""2. Background""; ""3. Proof of (1.5)""; ""4. Proof of (1.6)""; ""5. Proof of (1.7)""; ""6. The -series for the 8â?? knot.""; ""7. Conclusion""; ""References""; ""A partition inequality involving products of two -Pochhammer symbols""
""1. Introduction""""2. Notation""; ""3. The Injection""; ""4. The Inverse""; ""5. Examples""; ""6. Proofs of the Dual and the Generalization""; ""7. Two Invariants of the Injections""; ""8. Conclusion""; ""Acknowledgements""; ""References""; ""Analogues of Koshliakovâ€?s formula""; ""1. Introduction""; ""2. Preliminary Results""; ""3. Analogues of Koshliakovâ€?s Formula""; ""References""; ""How to prove Ramanujanâ€?s -continued fractions""; ""1. Introduction""; ""2. Eulerâ€?s approach""; ""3. The Rogers-Ramanujan Continued Fraction""; ""4. Convergence matters"" ""5. More continued fractions by Eulerâ€?s approach""""6. The role of transformation formulas""; ""7. A dose of insight into algebraical formulae""; ""8. Infinite products as continued fractions""; ""9. Conclusion""; ""References""; ""A nonsingular â?? curve of genus 4""; ""1. Introduction""; ""2. Definition of the Surface""; ""3. Inversion of Thomaeâ€?s Formulas and Other Identities""; ""References""; ""Ramanujanâ€?s radial limits""; ""1. Introduction and Statement of Results""; ""Acknowledgements""; ""2. Sketch of the proof of Theorem 1.2""; ""3. Proof of Theorem 1.3"" ""4. Discussion related to Theorem 1.3""""References""; ""An identity that may have changed the course of history""; ""1. Introduction""; ""2. Jacobiâ€?s triple product identity""; ""3. An important special case of Jacobiâ€?s triple product identity""; ""4. Obtaining Ramanujanâ€?s identity""; ""5. Additional comments""; ""6. Notice""; ""References""; ""The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangleâ€?""; ""1. Introduction""; ""2. The main result"" ""1. Mathematical Background"" |
| Record Nr. | UNINA-9910788255803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ramanujun 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida / / Krishnaswami Alladi, Frank Garvan, Ae Ja Yee, editors
| Ramanujun 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida / / Krishnaswami Alladi, Frank Garvan, Ae Ja Yee, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (174 p.) |
| Disciplina | 512.7 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Functions, Theta
Lie algebras |
| ISBN | 1-4704-2039-2 |
| Classificazione | 05A1911A2511E2511F3311F3711P8414K2517B6730B7033D15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Hecke grids and congruences for weakly holomorphic modular forms""; ""1. Introduction""; ""2. Preliminaries""; ""3. Hecke grids on Î?*(1)""; ""4. Hecke grids on Î?*(2)""; ""5. Hecke grids on Î?*(3)""; ""6. Hecke grids on Î?*(4)""; ""References""; ""Knots and -series""; ""1. Introduction""; ""2. Background""; ""3. Proof of (1.5)""; ""4. Proof of (1.6)""; ""5. Proof of (1.7)""; ""6. The -series for the 8â?? knot.""; ""7. Conclusion""; ""References""; ""A partition inequality involving products of two -Pochhammer symbols""
""1. Introduction""""2. Notation""; ""3. The Injection""; ""4. The Inverse""; ""5. Examples""; ""6. Proofs of the Dual and the Generalization""; ""7. Two Invariants of the Injections""; ""8. Conclusion""; ""Acknowledgements""; ""References""; ""Analogues of Koshliakovâ€?s formula""; ""1. Introduction""; ""2. Preliminary Results""; ""3. Analogues of Koshliakovâ€?s Formula""; ""References""; ""How to prove Ramanujanâ€?s -continued fractions""; ""1. Introduction""; ""2. Eulerâ€?s approach""; ""3. The Rogers-Ramanujan Continued Fraction""; ""4. Convergence matters"" ""5. More continued fractions by Eulerâ€?s approach""""6. The role of transformation formulas""; ""7. A dose of insight into algebraical formulae""; ""8. Infinite products as continued fractions""; ""9. Conclusion""; ""References""; ""A nonsingular â?? curve of genus 4""; ""1. Introduction""; ""2. Definition of the Surface""; ""3. Inversion of Thomaeâ€?s Formulas and Other Identities""; ""References""; ""Ramanujanâ€?s radial limits""; ""1. Introduction and Statement of Results""; ""Acknowledgements""; ""2. Sketch of the proof of Theorem 1.2""; ""3. Proof of Theorem 1.3"" ""4. Discussion related to Theorem 1.3""""References""; ""An identity that may have changed the course of history""; ""1. Introduction""; ""2. Jacobiâ€?s triple product identity""; ""3. An important special case of Jacobiâ€?s triple product identity""; ""4. Obtaining Ramanujanâ€?s identity""; ""5. Additional comments""; ""6. Notice""; ""References""; ""The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangleâ€?""; ""1. Introduction""; ""2. The main result"" ""1. Mathematical Background"" |
| Record Nr. | UNINA-9910807367303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Surveys in number theory [[electronic resource] /] / edited by Krishnaswami Alladi
| Surveys in number theory [[electronic resource] /] / edited by Krishnaswami Alladi |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | New York ; ; London, : Springer, 2008 |
| Descrizione fisica | 1 online resource (192 p.) |
| Disciplina | 512.7 |
| Altri autori (Persone) | AlladiKrishnaswami |
| Collana | Developments in mathematics |
| Soggetto topico |
Number theory
Algebra |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-03780-3
9786612037801 0-387-78510-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A Survey of Multipartitions Congruences and Identities -- Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook -- Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas -- Theta Functions in Complex Analysis and Number Theory -- Inverse Problems for Representation Functions in Additive Number Theory -- Mock Theta Functions Ranks and Maass Forms -- Elliptic Functions and Transcendence. |
| Record Nr. | UNINA-9910454593303321 |
| New York ; ; London, : Springer, 2008 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Surveys in number theory [[electronic resource] /] / edited by Krishnaswami Alladi
| Surveys in number theory [[electronic resource] /] / edited by Krishnaswami Alladi |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | New York ; ; London, : Springer, 2008 |
| Descrizione fisica | 1 online resource (192 p.) |
| Disciplina | 512.7 |
| Altri autori (Persone) | AlladiKrishnaswami |
| Collana | Developments in mathematics |
| Soggetto topico |
Number theory
Algebra |
| ISBN |
1-282-03780-3
9786612037801 0-387-78510-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A Survey of Multipartitions Congruences and Identities -- Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook -- Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas -- Theta Functions in Complex Analysis and Number Theory -- Inverse Problems for Representation Functions in Additive Number Theory -- Mock Theta Functions Ranks and Maass Forms -- Elliptic Functions and Transcendence. |
| Record Nr. | UNINA-9910782896003321 |
| New York ; ; London, : Springer, 2008 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Surveys in number theory / / edited by Krishnaswami Alladi
| Surveys in number theory / / edited by Krishnaswami Alladi |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | New York ; ; London, : Springer, 2008 |
| Descrizione fisica | 1 online resource (192 p.) |
| Disciplina | 512.7 |
| Altri autori (Persone) | AlladiKrishnaswami |
| Collana | Developments in mathematics |
| Soggetto topico |
Number theory
Algebra |
| ISBN |
1-282-03780-3
9786612037801 0-387-78510-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A Survey of Multipartitions Congruences and Identities -- Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook -- Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas -- Theta Functions in Complex Analysis and Number Theory -- Inverse Problems for Representation Functions in Additive Number Theory -- Mock Theta Functions Ranks and Maass Forms -- Elliptic Functions and Transcendence. |
| Record Nr. | UNINA-9910975016103321 |
| New York ; ; London, : Springer, 2008 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||