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Number Theory and Its Applications : Developments in Mathematics - Shigeru Kanemitsu

Number Theory and Its Applications

Developments in Mathematics

By: Shigeru Kanemitsu (Editor), Kalman Gyory (Editor)

Hardcover Published: November 1999
ISBN: 9780792359524
Number Of Pages: 374

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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. BrĂ¼dern. 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. Padeacute; 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 propertyp. 1
Self affine tiling and Pisot numeration systemp. 7
A fundamental but unexploited partition invariantp. 19
On algebraic independence of certain functions related to the elliptic modular functionp. 25
Fragments by Ramanujan on Lambert Seriesp. 35
Metric theory of Diophantine approximation in the field of complex numbersp. 51
The Davenport-Heilbronn Fourier transform method, and some diophantine inequalitiesp. 59
On the probabilistic complexity of numerically checking the binary Goldbach conjecture in certain intervalsp. 89
On the mean square of Hecke L-functions associated to holomorphic cusp formsp. 101
Mean Square of an Error Term Related to a Certain Exponential Sum Involving the Divisor Functionp. 111
On zeros of the Lerch zeta-functionp. 129
Power values of products of consecutive integers and binomial coefficientsp. 145
A note on Hilbert modular threefoldsp. 157
Inverse Galois Problem for Dihedral Groupsp. 165
On Ramachandra's method for the mean value problems of various L-functionsp. 183
On the zeros of certain modular formsp. 193
A weighted integral approach to the mean square of Dirichlet L-functionsp. 199
The mean value theorem of the Riemann zeta-function in the critical strip for short intervalsp. 231
On inhomogeneous Diophantine approximation and the NST-algorithmp. 241
Selberg zeta functions of PGL and PSL over function fieldsp. 253
A Survey on the Number Field Sievep. 263
Non-normal class number one problem and the least prime power-residuep. 273
Higher dimensional modular equations of degree 7p. 291
Exponential congruencesp. 303
Pade approximation for words generated by certain substitutions, and Haukel determinantsp. 309
On Sturmian sequences which are invariant under some substitutionsp. 347
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792359524
ISBN-10: 0792359526
Series: Developments in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 374
Published: November 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 1.91
Weight (kg): 0.73

Earn 742 Qantas Points
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