Titlebook: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra; In Honour of Peter P Veronika Pillwein,Carste

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Hamid R. Zarandi,Seyed Ghassem MiremadiWe present a survey on the mathematical structure of zero- and single scale quantities and the associated calculation methods and function spaces in higher order perturbative calculations in relativistic renormalizable quantum field theories.

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Large Scale Analytic Calculations in Quantum Field Theories,We present a survey on the mathematical structure of zero- and single scale quantities and the associated calculation methods and function spaces in higher order perturbative calculations in relativistic renormalizable quantum field theories.

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A Theorem to Reduce Certain Modular Form Relations Modulo Primes,Let . be a prime. Let . be the set of meromorphic modular forms of weight . for the group Γ.(.) and .. Let ., .?=?0, …, . and .?=?.. such that .(.) are integers. The main result of this paper is that . iff

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,Trying to Solve a Linear System for Strict Partitions in ‘Closed Form’,The solution of a particular linear system with rational function coefficients, parametrized by strict partitions of integers, is investigated. The goal is getting precise information about the solution in compact form, which leads into the realm of symmetric functions, notably Schur functions.