A Note on Moments of Zeta'(1/2+i Gamma)
Antanas Laurinčikas, Jörn Steuding (2004)
Publications de l'Institut Mathématique
Similarity:
Antanas Laurinčikas, Jörn Steuding (2004)
Publications de l'Institut Mathématique
Similarity:
Hung Manh Bui (2010)
Journal de Théorie des Nombres de Bordeaux
Similarity:
Assuming the Riemann hypothesis, we investigate the distribution of gaps between the zeros of . We prove that a positive proportion of gaps are less than times the average spacing and, in the other direction, a positive proportion of gaps are greater than times the average spacing. We also exhibit the existence of infinitely many normalized gaps smaller (larger) than (, respectively).
A. Ivić (2001)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Similarity:
Masato Wakayama, Yoshinori Yamasaki (2011)
Journal de Théorie des Nombres de Bordeaux
Similarity:
We establish “higher depth” analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic -functions of over a general number field. This is a generalization of the result of Deninger about the regularized determinant for zeros of the Riemann zeta function.
H. M. Bui (2014)
Acta Arithmetica
Similarity:
Assuming the Riemann Hypothesis we show that there exist infinitely many consecutive zeros of the Riemann zeta-function whose gaps are greater than 2.9 times the average spacing.
André Voros (2003)
Annales de l’institut Fourier
Similarity:
A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structures, plus countably many special values) are explicitly displayed.
Tsz Ho Chan (2004)
Acta Arithmetica
Similarity: