6 авг. 2015 г. · The Riemann Zeta function's nontrivial zero's imply something about an error term for an approximation function thing for the Prime Counting Function. Zeros of L function on imaginary axis - Math Stack Exchange Zeros of L function on the 0.5 line - Mathematics Stack Exchange Другие результаты с сайта math.stackexchange.com

Zeros · If χ(−1) = 1, the only zeros of L(s, χ) with Re(s) < 0 are simple zeros at −2, −4, −6, .... (There is also a zero at s = 0.) · If χ(−1) = −1, then the ...

26 сент. 2013 г. · More specifically, we show that there are an infinite number of zeros on the critical line which are in one-to-one correspondence with the zeros ...

Let ^ be a Dirichlet character and L(s, y) the associated Dirichlet L-function. We are interested in the zeroes of L(s, j) in the critical strip 0< Re(s) < 1.

Since L-functions are simply certain complex analytic functions, we can employ our familiar theory of complex analysis to study them, thereby facilitating our ...

MONTGOMERY, H.L.. "Zeros of L-Functions.." Inventiones mathematicae 8 (1969): 346-354. <http://eudml.org/doc/141992>. @article{MONTGOMERY1969,

11 апр. 2024 г. · Here we seek to estimate the size of the smallest intervals centered at a low-lying height for which we can guarantee the existence of a zero in a family of L- ...

16 сент. 2014 г. · The motivation was a suggestion by David Farmer that one could make an ordered list of all L-functions according to their lowest critical zero.

4 янв. 2024 г. · Abstract. We prove an upper bound on the density of zeros very close to the critical line of the family of Dirichlet L-functions of modulus q at ...

2 automorphic L-functions was investigated. In this paper we examine the distribution of zeros which are at or near s = y (that is the central point) for such ...