Aa. Bytsenko et al., MELLIN-BARNES REPRESENTATION FOR THE GENUS-G FINITE-TEMPERATURE STRING THEORY, Physics letters. Section B, 311(1-4), 1993, pp. 87-92
The Mellin-Barnes representation for the free energy of the genus-g st
ring is constructed. It is shown that the interactions of the open bos
onic string do not modify the critical (Hagedorn) temperature. However
, for the sectors having a spinor structure, the critical temperature
exists also for all g and depends on the windings. The appearance of a
periodic structure is briefly discussed.