Number Theory and Its Applications

- 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

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