The riemann hypothesis was posed in 1859 by bernhard riemann, a mathematician who was not a number. See sh, m, the book project on the web page of michael harris, and. Request pdf the blochkato conjecture for the riemann zeta function there are still many arithmetic. The blochkato conjecture for the riemann zeta function london mathematical society lecture note series book 418 1st edition, kindle edition by john coates editor, a. There are still many arithmetic mysteries surrounding the values of the riemann zeta function at the odd positive integers greater than one. Special values of lfunctions news newspapers books scholar jstor april 2019 learn how and when to remove this template message. The distribution of prime numbers andrew granville and k. Although the definitional domain of the riemann zeta function. See sh, m, the book project on the web page of michael harris. Riemann s approach begins with the riemann zeta function. The blochkato conjecture for the riemann zeta function edited by. Sujatha there are still many arithmetic mysteries surrounding the values of the riemann zeta function at the odd positive integers greater than one. Riemann zeta function may wish to begin with chapters 2 and 3. The blochkato conjecture for the riemann zeta function.
In mathematics, the study of special values of lfunctions is a subfield of number theory. This conjecture is called the riemann hypothesis and is considered by many the greatest unsolved problem in mathematics. We will formulate a conjecture on the values at integer points of lfunctions. Blochkato conjecture riemann zeta function number theory. The conjectures for b are called the blochkato conjectures for special. It is primarily a source book with the emphasis on the original papers. Yeah, im jealous the riemann hypothesis is named after the fact that it is a hypothesis, which, as we all know, is the largest of the three sides of a right triangle. Lfunctions and tamagawa numbers of motives springerlink. An introduction to bloch and katos conjecture clay mathematics. The blochkato conjecture on special values of lfunctions. This book is an introduction to the theory surrounding the riemann hypothesis. An introduction to the conjecture of bloch and kato stanford.