Arithmetics

From the reviews:

“It gives an overview of various parts of number theory which should be studied after its basics have been mastered. … This book is extremely well written and a pleasure to read. It is well suited to whet a curious student’s appetite and to induce him or her to embark on an in-depth study of number theory.” (Ch. Baxa, Monatshefte für Mathematik, 2014)

“This is a detailed presentation of modern number theory, complete with overviews of current research problems. … Hindry (Univ. Paris 7, France) includes the standard topics in undergraduate number theory courses … . Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (J. Johnson, Choice, Vol. 49 (6), February, 2012)

“Geared toward graduate students at the masters level (M1 and M2), the book provides a thorough and lively introduction to various fundamental aspects of both classical and contemporary arithmetical theories, together with some of their most important applications and current research developments. … the book under review is both an excellent introduction and a truly irresistible invitation to number theory in its various fascinating aspects. … Its current translation into English will certainly augment both the worldwide popularity and usefulness of this remarkable textbook.” (Werner Kleinert, Zentralblatt MATH, Vol. 1233, 2012)

“This is a very modern text for a second course in number theory, slanted towards algebraic number theory and Diophantine equations, and using the language and concepts of abstract algebra throughout. … The book attempts, usually successfully, to cover not only modern methods but the most recent results as well. … The exercises are especially good, and supplement the exposition with a number of important results.” (Allen Stenger, The Mathematical Association of America, October, 2011)