Number Theory and Its Applications
Herausgegeben:Kanemitsu, Shigeru; Gyory, Kálmán
Number Theory and Its Applications
Herausgegeben:Kanemitsu, Shigeru; Gyory, Kálmán
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The contents of this volume range from expository papers on several aspects of number theory, intended for general readers (Steinhaus property of planar regions; experiments with computers; Diophantine approximation; number field sieve), to a collection of research papers for specialists, which are at prestigious journal level. Thus the book leads the reader in many ways not only to the state of the art of number theory but also to its rich garden. Audience: Researchers and graduate students interested in recent developments in number theory.
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The contents of this volume range from expository papers on several aspects of number theory, intended for general readers (Steinhaus property of planar regions; experiments with computers; Diophantine approximation; number field sieve), to a collection of research papers for specialists, which are at prestigious journal level. Thus the book leads the reader in many ways not only to the state of the art of number theory but also to its rich garden.
Audience: Researchers and graduate students interested in recent developments in number theory.
Audience: Researchers and graduate students interested in recent developments in number theory.
Produktdetails
- Produktdetails
- Developments in Mathematics 2
- Verlag: Springer / Springer US / Springer, Berlin
- Artikelnr. des Verlages: 978-1-4419-4816-8
- Softcover reprint of hardcover 1st ed. 1999
- Seitenzahl: 388
- Erscheinungstermin: 8. Dezember 2010
- Englisch
- Abmessung: 235mm x 155mm x 21mm
- Gewicht: 587g
- ISBN-13: 9781441948168
- ISBN-10: 1441948163
- Artikelnr.: 32109494
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
- Developments in Mathematics 2
- Verlag: Springer / Springer US / Springer, Berlin
- Artikelnr. des Verlages: 978-1-4419-4816-8
- Softcover reprint of hardcover 1st ed. 1999
- Seitenzahl: 388
- Erscheinungstermin: 8. Dezember 2010
- Englisch
- Abmessung: 235mm x 155mm x 21mm
- Gewicht: 587g
- ISBN-13: 9781441948168
- ISBN-10: 1441948163
- Artikelnr.: 32109494
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
Preface. A problem of Steinhaus concerning the existence of a plane set
with a certain property; S.D. Adhikari. Self affine tiling and Pisot
numeration system; S. Akiyama. A fundamental but unexploited partition
invariant; K. Alladi. On Algebraic independence of certain functions
related to the elliptic modular function; M. Amou. Fragments by Ramanujan
on Lambert Series; B.C. Berndt. Metric theory of Diophantine approximation
in the field of complex numbers; V.I. Bernik, M.M. Dodson. The
Davenport-Heilbronn Fourier transform method, and some diophantine
inequalities; J. Brüdern. On the probabilistic complexity of numerically
checking the binary Goldbach conjecture in certain intervals; J.M.
Deshouillers, H. te Riele. On the mean square of Hecke L-functions
associated to holomorphic cusp forms; S. Egami. Mean Square of an Error
Term Related to a Certain Exponential Sum Involving the Divisor Function;
J. Furuya. On zeros of the Lerch zeta-function; R. Garunkstis, A.
Laurincikas. Power values of products of consecutive integers and binomial
coefficients; K. Gyory. A note on Hilbert modular threefolds; Y. Hamahata.
Inverse Galois Problem for Dihedral Groups; K. Hashimoto, K. Miyake. On
Ramachandra's method for the mean value problems of various L-functions; Y.
Kamiya. On the zeros of certain modular forms; M. Kaneko. A weighted
integral approach to the mean square of Dirichlet L-functions; M.
Katsurada, K. Matsumoto. The mean value theorem of the Riemann
zeta-function in the critical strip for short intervals; I. Kuchi, Y.
Tanigawa. On inhomogeneous Diophantine approximation and the NST-algorithm;
T. Komatsu. Selberg zeta functions of PGL and PSL over function fields; S.
Koyama. A Survey on the Number Field Sieve; K. Nakamula. Non-normal class
number one problem and the least prime power-residue; R. Okazaki. Higher
dimensional modular equations of degree 7; R. Sasaki. Exponential
congruences; A. Schinzel. Padé approximation for words generated by certain
substitutions, and Hankel determinants; J. Tamura. On Sturmian Sequences
which are invariant under some substitutions; S. Yasutomi.
with a certain property; S.D. Adhikari. Self affine tiling and Pisot
numeration system; S. Akiyama. A fundamental but unexploited partition
invariant; K. Alladi. On Algebraic independence of certain functions
related to the elliptic modular function; M. Amou. Fragments by Ramanujan
on Lambert Series; B.C. Berndt. Metric theory of Diophantine approximation
in the field of complex numbers; V.I. Bernik, M.M. Dodson. The
Davenport-Heilbronn Fourier transform method, and some diophantine
inequalities; J. Brüdern. On the probabilistic complexity of numerically
checking the binary Goldbach conjecture in certain intervals; J.M.
Deshouillers, H. te Riele. On the mean square of Hecke L-functions
associated to holomorphic cusp forms; S. Egami. Mean Square of an Error
Term Related to a Certain Exponential Sum Involving the Divisor Function;
J. Furuya. On zeros of the Lerch zeta-function; R. Garunkstis, A.
Laurincikas. Power values of products of consecutive integers and binomial
coefficients; K. Gyory. A note on Hilbert modular threefolds; Y. Hamahata.
Inverse Galois Problem for Dihedral Groups; K. Hashimoto, K. Miyake. On
Ramachandra's method for the mean value problems of various L-functions; Y.
Kamiya. On the zeros of certain modular forms; M. Kaneko. A weighted
integral approach to the mean square of Dirichlet L-functions; M.
Katsurada, K. Matsumoto. The mean value theorem of the Riemann
zeta-function in the critical strip for short intervals; I. Kuchi, Y.
Tanigawa. On inhomogeneous Diophantine approximation and the NST-algorithm;
T. Komatsu. Selberg zeta functions of PGL and PSL over function fields; S.
Koyama. A Survey on the Number Field Sieve; K. Nakamula. Non-normal class
number one problem and the least prime power-residue; R. Okazaki. Higher
dimensional modular equations of degree 7; R. Sasaki. Exponential
congruences; A. Schinzel. Padé approximation for words generated by certain
substitutions, and Hankel determinants; J. Tamura. On Sturmian Sequences
which are invariant under some substitutions; S. Yasutomi.
Preface. A problem of Steinhaus concerning the existence of a plane set
with a certain property; S.D. Adhikari. Self affine tiling and Pisot
numeration system; S. Akiyama. A fundamental but unexploited partition
invariant; K. Alladi. On Algebraic independence of certain functions
related to the elliptic modular function; M. Amou. Fragments by Ramanujan
on Lambert Series; B.C. Berndt. Metric theory of Diophantine approximation
in the field of complex numbers; V.I. Bernik, M.M. Dodson. The
Davenport-Heilbronn Fourier transform method, and some diophantine
inequalities; J. Brüdern. On the probabilistic complexity of numerically
checking the binary Goldbach conjecture in certain intervals; J.M.
Deshouillers, H. te Riele. On the mean square of Hecke L-functions
associated to holomorphic cusp forms; S. Egami. Mean Square of an Error
Term Related to a Certain Exponential Sum Involving the Divisor Function;
J. Furuya. On zeros of the Lerch zeta-function; R. Garunkstis, A.
Laurincikas. Power values of products of consecutive integers and binomial
coefficients; K. Gyory. A note on Hilbert modular threefolds; Y. Hamahata.
Inverse Galois Problem for Dihedral Groups; K. Hashimoto, K. Miyake. On
Ramachandra's method for the mean value problems of various L-functions; Y.
Kamiya. On the zeros of certain modular forms; M. Kaneko. A weighted
integral approach to the mean square of Dirichlet L-functions; M.
Katsurada, K. Matsumoto. The mean value theorem of the Riemann
zeta-function in the critical strip for short intervals; I. Kuchi, Y.
Tanigawa. On inhomogeneous Diophantine approximation and the NST-algorithm;
T. Komatsu. Selberg zeta functions of PGL and PSL over function fields; S.
Koyama. A Survey on the Number Field Sieve; K. Nakamula. Non-normal class
number one problem and the least prime power-residue; R. Okazaki. Higher
dimensional modular equations of degree 7; R. Sasaki. Exponential
congruences; A. Schinzel. Padé approximation for words generated by certain
substitutions, and Hankel determinants; J. Tamura. On Sturmian Sequences
which are invariant under some substitutions; S. Yasutomi.
with a certain property; S.D. Adhikari. Self affine tiling and Pisot
numeration system; S. Akiyama. A fundamental but unexploited partition
invariant; K. Alladi. On Algebraic independence of certain functions
related to the elliptic modular function; M. Amou. Fragments by Ramanujan
on Lambert Series; B.C. Berndt. Metric theory of Diophantine approximation
in the field of complex numbers; V.I. Bernik, M.M. Dodson. The
Davenport-Heilbronn Fourier transform method, and some diophantine
inequalities; J. Brüdern. On the probabilistic complexity of numerically
checking the binary Goldbach conjecture in certain intervals; J.M.
Deshouillers, H. te Riele. On the mean square of Hecke L-functions
associated to holomorphic cusp forms; S. Egami. Mean Square of an Error
Term Related to a Certain Exponential Sum Involving the Divisor Function;
J. Furuya. On zeros of the Lerch zeta-function; R. Garunkstis, A.
Laurincikas. Power values of products of consecutive integers and binomial
coefficients; K. Gyory. A note on Hilbert modular threefolds; Y. Hamahata.
Inverse Galois Problem for Dihedral Groups; K. Hashimoto, K. Miyake. On
Ramachandra's method for the mean value problems of various L-functions; Y.
Kamiya. On the zeros of certain modular forms; M. Kaneko. A weighted
integral approach to the mean square of Dirichlet L-functions; M.
Katsurada, K. Matsumoto. The mean value theorem of the Riemann
zeta-function in the critical strip for short intervals; I. Kuchi, Y.
Tanigawa. On inhomogeneous Diophantine approximation and the NST-algorithm;
T. Komatsu. Selberg zeta functions of PGL and PSL over function fields; S.
Koyama. A Survey on the Number Field Sieve; K. Nakamula. Non-normal class
number one problem and the least prime power-residue; R. Okazaki. Higher
dimensional modular equations of degree 7; R. Sasaki. Exponential
congruences; A. Schinzel. Padé approximation for words generated by certain
substitutions, and Hankel determinants; J. Tamura. On Sturmian Sequences
which are invariant under some substitutions; S. Yasutomi.