Chapter 10 Integers Represented by Positive Definite Quadratic Forms10.1 Theta Function of a Positive Definite Quadratic Form and Its Values at Cusp Points; 10.2 The Minimal Integer Represented by a Positive Definite Quadratic Form; 10.3 The Eligible Numbers of a Positive Definite Ternary Quadratic Form; References; Index
43 Extreme Values of the Riemann Zeta Function and Dirichlet L-functions at the Cri 44:09 An extension of Venkatesh's converse theorem to the Selberg class 59:41 Height gaps for coefficients of D-finite power series 42:28 Joint value distribution of L-functions 51:37 Local statistics for ...
In this note we study, for a random lattice L of large dimension n, the supremum of the real parts of the zeros of the Epstein zeta function En(L,s) and prove that this random variable scaled by n−1 has a limit distribution, which we give explicitly. This limit distribution is stu...
and consider the large time limit at fixed values of \(a,b\) . this corresponds to zooming around the critical stationary point as represented in fig. 2 . it is natural to expect – and we indeed show – that in the large time limit there is a two parameter family of cdfs \(f...
First, we describe a deterministic rule. LetTbe a positive integer. Define arouting schedule of lengthTto be a sequenceofTelements of, dictating the sequence in which half-lines are visited, as follows. The walk starts from line, and, on departure from linejumps over the origin to, and so...