Bounds for triple gamma functions and their ratios

Subconvexity Bounds for Triple L-functions and Representation Theory

We describe a new method to estimate the trilinear period on automorphic representations of PGL2(R). Such a period gives rise to a special value of the triple L-function. We prove a bound for the triple period which amounts to a subconvexity bound for the corresponding special value of the triple L-function. Our method is based on the study of the analytic structure of the corresponding unique ...

Ratios of partition functions for the log-gamma polymer

We introduce a random walk in random environment associated to an underlying directed polymer model in 1+1 dimensions. This walk is the positive temperature counterpart of the competition interface of percolation and arises as the limit of quenched polymer measures. We prove this limit for the exactly solvable log-gamma polymer, as a consequence of almost sure limits of ratios of partition func...

Asymptotic expansions for ratios of products of gamma functions

An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subject Classification: Primary 33B15; Secondary 33C20

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions

Bounds for the Ratio of Two Gamma Functions

Feng Qi Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City 300160, China Correspondence should be addressed to Feng Qi, [email protected], [email protected] Received 28 July 2009; Accepted 16 January 2010 Academic Editor: László Losonczi Copyright q 2010 Feng Qi. This is an open access article distributed under the Creative Commons Attribution License, ...