On a theorem of Levinson

✍ Scribed by Haseo Ki

• Book ID: 104024435
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 223 KB
• Volume: 107
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2004.04.003

✦ Synopsis

Levinson investigated the number of real zeros of the real or imaginary part of

where s40 and zðsÞ is the Riemann zeta function. By the functional equation,

we may assume s4 1 2 : In this paper, we consider

for any complex number s and any l40; as general forms of the real or imaginary part of the above function, and then we further study the zeros of the functions.