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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]
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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
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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]
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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
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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 Koshliakov�s formula""; ""1. Introduction""; ""2. Preliminary Results""; ""3. Analogues of Koshliakov�s Formula""; ""References""; ""How to prove Ramanujan�s -continued fractions""; ""1. Introduction""; ""2. Euler�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. Jacobi�s triple product identity""; ""3. An important special case of Jacobi�s triple product identity""; ""4. Obtaining Ramanujan�s identity""; ""5. Additional comments""; ""6. Notice""; ""References""; ""The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangle�""; ""1. Introduction""; ""2. The main result""
""1. Mathematical Background""
Record Nr. UNINA-9910480116603321
Providence, Rhode Island : , : American Mathematical Society, , 2014
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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 Koshliakov�s formula""; ""1. Introduction""; ""2. Preliminary Results""; ""3. Analogues of Koshliakov�s Formula""; ""References""; ""How to prove Ramanujan�s -continued fractions""; ""1. Introduction""; ""2. Euler�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. Jacobi�s triple product identity""; ""3. An important special case of Jacobi�s triple product identity""; ""4. Obtaining Ramanujan�s identity""; ""5. Additional comments""; ""6. Notice""; ""References""; ""The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangle�""; ""1. Introduction""; ""2. The main result""
""1. Mathematical Background""
Record Nr. UNINA-9910788255803321
Providence, Rhode Island : , : American Mathematical Society, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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 Koshliakov�s formula""; ""1. Introduction""; ""2. Preliminary Results""; ""3. Analogues of Koshliakov�s Formula""; ""References""; ""How to prove Ramanujan�s -continued fractions""; ""1. Introduction""; ""2. Euler�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. Jacobi�s triple product identity""; ""3. An important special case of Jacobi�s triple product identity""; ""4. Obtaining Ramanujan�s identity""; ""5. Additional comments""; ""6. Notice""; ""References""; ""The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangle�""; ""1. Introduction""; ""2. The main result""
""1. Mathematical Background""
Record Nr. UNINA-9910807367303321
Providence, Rhode Island : , : American Mathematical Society, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
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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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui