Cristian-Silviu Radu

activity

20172024

most citedIterated Elliptic and Hypergeometric Integrals for Feynman Diagrams

115 citations · 118 across the 5 of their papers we have counts for

collaborators

8 papers

math.NT2024

Asymptotics for the reciprocal and shifted quotient of the partition function

Koustav Banerjee, Peter Paule, Cristian-Silviu Radu +1

Let $p (n)$ denote the partition function. In this paper our main goal is to derive an asymptotic expansion up to order $N$ (for any fixed positive integer $N$ ) along with estimates…

math.NT2022★ 2 cited

Parity of 3-regular partition numbers and Diophantine equations

Cristina Ballantine, Mircea Merca, Cristian-Silviu Radu

Let $b_{3} (n)$ be the number of $3$ -regular partitions of $n$ . Recently, W. J. Keith and F. Zanello discovered infinite families of Ramanujan type congruences modulo $2$ for $b_3(2n)…

math.NT2022★ 1 cited

Error bounds for the asymptotic expansion of the partition function

Koustav Banerje, Peter Paule, Cristian-Silviu Radu +1

Asymptotic study on the partition function $p (n)$ began with the work of Hardy and Ramanujan. Later Rademacher obtained a convergent series for $p (n)$ and an error bound was given…

math.NT2020

A Method of Verifying Partition Congruences by Symbolic Computation

Cristian-Silviu Radu, Nicolas Allen Smoot

Conjectures involving infinite families of restricted partition congruences can be difficult to verify for a number of individual cases, even with a computer. We demonstrate how th…

math.NT2019

Infinite product formulae for generating functions for sequences of squares

Christian Krattenthaler, Mircea Merca, Cristian-Silviu Radu

We state and prove product formulae for several generating functions for sequences $(a_{n})_{n \geq 0}$ that are defined by the property that $P a_{n} + b^{2}$ is a square, where $P$ and $b$ a…

math.NT2019

Computing an order complete basis for $M^{\infty} (N)$ and Applications

Mark van Hoeij, Cristian-Silviu Radu

This paper gives a quick way to construct all modular functions for the group $Γ_{0} (N)$ having only a pole at $τ = i \infty$ . We assume that we are given two modular functions $f, g$ …

hep-ph2017

Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations

J. Ablinger, A. Behring, J. Blümlein +6

Various of the single scale quantities in massless and massive QCD up to 3-loop order can be expressed by iterative integrals over certain classes of alphabets, from the harmonic p…

hep-th2017★ 115 cited

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams

J. Ablinger, J. Blümlein, A. De Freitas +5

We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the $ρ$ -parameter. They obey non-factorizing differential equations of second ord…