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Analytic number theory : proceedings of a conference held at Temple University, Philadelphia, May 12-15, 1980 / / edited by Marvin I. Knopp
| Analytic number theory : proceedings of a conference held at Temple University, Philadelphia, May 12-15, 1980 / / edited by Marvin I. Knopp |
| Edizione | [1st ed. 1981.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1981] |
| Descrizione fisica | 1 online resource (XII, 480 p.) |
| Disciplina | 512.7 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Number theory
Mathematics |
| ISBN | 3-540-38953-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | An orthonormal system and its Lebesgue constants -- Mordell integrals and Ramanujan's “lost” notebook -- 5 Ramanujan's second notebook -- Oscillation theorems -- On the generalized density hypothesis, I -- The zeros of Hurwitz's zeta-function on ?=1/2 -- Gaps between consecutive zeta zeros -- On the representation of the summatory functions of a class of arithmetical functions -- P-adic L-functions at s=0 and s=1 -- Some problems and results on additive and multiplicative number theory -- Computations and generalizations on a remark of Ramanujan -- The arithmetic mean of the divisors of an integer -- The next Pellian equation -- Best Diophantine approximations for ternary linear forms, II -- Constructive elementary estimates for M(x) -- On the second largest prime divisor of an odd perfect number -- A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem -- Cyclotomy for non-squarefree modul I -- Waring's problem for sets of density zero -- Sequences without arithmetic progressions -- On polygon groups -- Theta function identities and orthogonal polynomials -- Ramanujan congruences for q(n) -- Gaps in the Fourier series of automorphic forms -- Gaps in the Fourier series of automorphic forms II -- Modular functions revisited -- Bounding the norm of the Poincaré ?-operator -- Analysis on positive matrices as it might have occurred to Fourier. |
| Record Nr. | UNISA-996466512303316 |
| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1981] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Hecke's theory of modular forms and Dirichlet series [[electronic resource] /] / Bruce C. Berndt, Marvin I. Knopp
| Hecke's theory of modular forms and Dirichlet series [[electronic resource] /] / Bruce C. Berndt, Marvin I. Knopp |
| Autore | Berndt Bruce C. <1939-> |
| Pubbl/distr/stampa | Hacensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 515.243 |
| Altri autori (Persone) |
HeckeErich <1887-1947.>
KnoppMarvin Isadore <1933-> |
| Collana | Monographs in Number Theory |
| Soggetto topico |
Dirichlet series
Forms (Mathematics) Modular functions Hecke operators |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93408-9
9786611934088 981-279-237-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface in Two Acts with a Prelude, Interlude, and Postlude; Contents; 1. Introduction; 2. The main correspondence theorem; 3. A fundamental region; 4. The case > 2; 5. The case < 2; 6. The case = 2; 7. Bochner's generalization of the main correspondence theorem of Hecke, and related results; 8. Identities equivalent to the functional equation and to the modular relation; Bibliography; Index |
| Record Nr. | UNINA-9910450876803321 |
Berndt Bruce C. <1939->
|
||
| Hacensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hecke's theory of modular forms and Dirichlet series [[electronic resource] /] / Bruce C. Berndt, Marvin I. Knopp
| Hecke's theory of modular forms and Dirichlet series [[electronic resource] /] / Bruce C. Berndt, Marvin I. Knopp |
| Autore | Berndt Bruce C. <1939-> |
| Pubbl/distr/stampa | Hacensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 515.243 |
| Altri autori (Persone) |
HeckeErich <1887-1947.>
KnoppMarvin Isadore <1933-> |
| Collana | Monographs in Number Theory |
| Soggetto topico |
Dirichlet series
Forms (Mathematics) Modular functions Hecke operators |
| ISBN |
1-281-93408-9
9786611934088 981-279-237-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface in Two Acts with a Prelude, Interlude, and Postlude; Contents; 1. Introduction; 2. The main correspondence theorem; 3. A fundamental region; 4. The case > 2; 5. The case < 2; 6. The case = 2; 7. Bochner's generalization of the main correspondence theorem of Hecke, and related results; 8. Identities equivalent to the functional equation and to the modular relation; Bibliography; Index |
| Record Nr. | UNINA-9910777032003321 |
|
Berndt Bruce C. <1939->
|
||
| Hacensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A tribute to Emil Grosswald : number theory and related analysis / / Marvin Knopp, Mark Sheingorn, editors
| A tribute to Emil Grosswald : number theory and related analysis / / Marvin Knopp, Mark Sheingorn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1993] |
| Descrizione fisica | 1 online resource (624 p.) |
| Disciplina | 512/.7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Number theory
Combinatorial analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7734-8
0-8218-5155-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""In appreciation of Emil Grosswald""; ""Ph.D. students of Emil Grosswald""; ""Publications of Emil Grosswald""; ""A rather exact formula for the number of plane partitions""; ""On Ramanujan's empirical calculation for the Rogers-Ramanujan identities""; ""Integers expressible in a given number of ways as a sum of two squares""; ""A theorem of Ramanujan on certain alternating series""; ""Combinatorial equivalence of definitions of the Schur function""; ""Is there life on finite upper half planes?""; ""Rational period functions for PSL(2, z)""
""Rational period functions and indefinite binary quadratic forms , III""""Hypergeometric and modular function identities, and new rational approximationsto and continued fraction expansions of classical constants and functions""; ""Orbital modular equations""; ""A mean-value theorem for class numbers of quadratic extensions""; ""On a generalization of Farey sequences, I""; ""Sieve auxiliary functions II""; ""A relation between cubic exponential and Kloosterman sums""; ""Function theory for Rogers-Ramanujan-like partition identities""; ""Forcing two sums simultaneously"" ""Difference polynomials""""An application of Ehrenpreis's basis method to the Rogers-Ramanujan identities""; ""Extensions of some extremal properties of prime divisors to Poisson limit theorems""; ""Rational period functions with irrational poles are not Heeke eigenfunctions""; ""On the number of Fourier coefficients that determine a modular form""; ""An explicit formula of Landau and its applications to the theory of the zeta-function""; ""Multiplicative properties of η-products II""; ""Counting subgroups of given index in Heeke groups""; ""Relatively prime values of polynomials"" ""Low height Heeke triangle group geodesics""""On the Shimura lift for Hilbert modular forms""; ""Dirichlet's class-number formula revisited""; ""Closed form (pun intended!)""; ""Gert Almkvist's generalization of a mistake of Bourbaki"" |
| Record Nr. | UNINA-9910480936803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A tribute to Emil Grosswald : number theory and related analysis / / Marvin Knopp, Mark Sheingorn, editors
| A tribute to Emil Grosswald : number theory and related analysis / / Marvin Knopp, Mark Sheingorn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1993] |
| Descrizione fisica | 1 online resource (624 p.) |
| Disciplina | 512/.7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Number theory
Combinatorial analysis |
| ISBN |
0-8218-7734-8
0-8218-5155-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""In appreciation of Emil Grosswald""; ""Ph.D. students of Emil Grosswald""; ""Publications of Emil Grosswald""; ""A rather exact formula for the number of plane partitions""; ""On Ramanujan's empirical calculation for the Rogers-Ramanujan identities""; ""Integers expressible in a given number of ways as a sum of two squares""; ""A theorem of Ramanujan on certain alternating series""; ""Combinatorial equivalence of definitions of the Schur function""; ""Is there life on finite upper half planes?""; ""Rational period functions for PSL(2, z)""
""Rational period functions and indefinite binary quadratic forms , III""""Hypergeometric and modular function identities, and new rational approximationsto and continued fraction expansions of classical constants and functions""; ""Orbital modular equations""; ""A mean-value theorem for class numbers of quadratic extensions""; ""On a generalization of Farey sequences, I""; ""Sieve auxiliary functions II""; ""A relation between cubic exponential and Kloosterman sums""; ""Function theory for Rogers-Ramanujan-like partition identities""; ""Forcing two sums simultaneously"" ""Difference polynomials""""An application of Ehrenpreis's basis method to the Rogers-Ramanujan identities""; ""Extensions of some extremal properties of prime divisors to Poisson limit theorems""; ""Rational period functions with irrational poles are not Heeke eigenfunctions""; ""On the number of Fourier coefficients that determine a modular form""; ""An explicit formula of Landau and its applications to the theory of the zeta-function""; ""Multiplicative properties of η-products II""; ""Counting subgroups of given index in Heeke groups""; ""Relatively prime values of polynomials"" ""Low height Heeke triangle group geodesics""""On the Shimura lift for Hilbert modular forms""; ""Dirichlet's class-number formula revisited""; ""Closed form (pun intended!)""; ""Gert Almkvist's generalization of a mistake of Bourbaki"" |
| Record Nr. | UNINA-9910788642803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A tribute to Emil Grosswald : number theory and related analysis / / Marvin Knopp, Mark Sheingorn, editors
| A tribute to Emil Grosswald : number theory and related analysis / / Marvin Knopp, Mark Sheingorn, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1993] |
| Descrizione fisica | 1 online resource (624 p.) |
| Disciplina | 512/.7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Number theory
Combinatorial analysis |
| ISBN |
0-8218-7734-8
0-8218-5155-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""In appreciation of Emil Grosswald""; ""Ph.D. students of Emil Grosswald""; ""Publications of Emil Grosswald""; ""A rather exact formula for the number of plane partitions""; ""On Ramanujan's empirical calculation for the Rogers-Ramanujan identities""; ""Integers expressible in a given number of ways as a sum of two squares""; ""A theorem of Ramanujan on certain alternating series""; ""Combinatorial equivalence of definitions of the Schur function""; ""Is there life on finite upper half planes?""; ""Rational period functions for PSL(2, z)""
""Rational period functions and indefinite binary quadratic forms , III""""Hypergeometric and modular function identities, and new rational approximationsto and continued fraction expansions of classical constants and functions""; ""Orbital modular equations""; ""A mean-value theorem for class numbers of quadratic extensions""; ""On a generalization of Farey sequences, I""; ""Sieve auxiliary functions II""; ""A relation between cubic exponential and Kloosterman sums""; ""Function theory for Rogers-Ramanujan-like partition identities""; ""Forcing two sums simultaneously"" ""Difference polynomials""""An application of Ehrenpreis's basis method to the Rogers-Ramanujan identities""; ""Extensions of some extremal properties of prime divisors to Poisson limit theorems""; ""Rational period functions with irrational poles are not Heeke eigenfunctions""; ""On the number of Fourier coefficients that determine a modular form""; ""An explicit formula of Landau and its applications to the theory of the zeta-function""; ""Multiplicative properties of η-products II""; ""Counting subgroups of given index in Heeke groups""; ""Relatively prime values of polynomials"" ""Low height Heeke triangle group geodesics""""On the Shimura lift for Hilbert modular forms""; ""Dirichlet's class-number formula revisited""; ""Closed form (pun intended!)""; ""Gert Almkvist's generalization of a mistake of Bourbaki"" |
| Record Nr. | UNINA-9910817703403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||