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On a divisor problem related to the Epstein zeta‐function
Author(s) -
Lü Guangshi
Publication year - 2010
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp123
Subject(s) - riemann zeta function , mathematics , divisor (algebraic geometry) , arithmetic zeta function , prime zeta function , modular form , divisor function , proof of the euler product formula for the riemann zeta function , riemann hypothesis , pure mathematics
In 1995, Sankaranarayanan studied a divisor problem related to the Epstein zeta‐function. By the theory of modular forms and the Riemann zeta‐function, we are able to improve his result for a number of cases.