Results 31 to 40 of about 19,492 (245)
Critical dense polymers with Robin boundary conditions, half-integer Kac labels and Z4 fermions
Nuclear Physics B, 2014 For general Temperley–Lieb loop models, including the logarithmic minimal models LM(p,p′) with p,p′ coprime integers, we construct an infinite family of Robin boundary conditions on the strip as linear combinations of Neumann and Dirichlet boundary ...
Paul A. Pearce +2 more
doaj +1 more source
On Dirichlet characters of polynomials [PDF]
Acta Arithmetica, 1984 In this paper our objective is to investigate the distribution of \(x\) such that \(\chi(f(x)) \ne 1\), where \(f\) is a fixed polynomial belonging to \(\mathbb Z[x]\) and \(\chi\) is a Dirichlet character of order \(q \bmod p\).
openaire +2 more sources
Mean Values of Products of L-Functions and Bernoulli Polynomials
Mathematics, 2018 Let m 1 , ⋯ , m r be nonnegative integers, and set: M r = m 1 + ⋯ + m r . In this paper, first we establish an explicit linear decomposition of: ∏ i = 1 r B m i ( x ) m i !
Abdelmejid Bayad, Daeyeoul Kim
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The concept of "character" in Dirichlet's theorem on primes in an arithmetic progression
, 2013 In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses of Dirichlet characters in presentations of Dirichlet's proof in the ...
Avigad, Jeremy, Morris, Rebecca
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Discrete Analysis, 2016 The Erdős discrepancy problem, Discrete Analysis 2016:1, 27 pp. One of Erdős's most famous problems was his _discrepancy_ problem, which is the following deceptively simple question. Let $\epsilon_1,\epsilon_2,\dots$ be a sequence of 1s and -1s and let $
Terence Tao
doaj +1 more source
Small gaps between zeros of twisted L-functions
, 2012 We use the asymptotic large sieve, developed by the authors, to prove that if the Generalized Riemann Hypothesis is true, then there exist many Dirichlet L-functions that have a pair of consecutive zeros closer together than 0.37 times their average ...
Conrey, J. B. +2 more
core +1 more source
A Plug‐and‐Play Volume Minimizing Micromixer
Advanced Science, EarlyView.ABSTRACT Microscale fluid mixing has numerous applications where rapid and efficient mixing is required, including drug discovery, bio‐analysis and point‐of‐care diagnostics. Conventional soft lithography processes, however, make the integration of robust and reliable mixing difficult to implement in practice, especially across different flow rates ...
Kirill Kolesnik +3 more
wiley +1 more source
Two identities related to dirichlet character of polynomials [PDF]
Czechoslovak Mathematical Journal, 2013 The authors study sums, analogous to Kloosterman sums. They prove two theorems: Theorem 1. Let \(q\) be an odd number, \(\chi \) be a Dirichlet character mod \(q\), \(k\) and \(m\) be positive integers such that \((km,q)=1\) and \((k+1,\varphi (q))=1\). Then for any primitive character \(\chi \bmod q\), we have the identity \[ | C(\chi ,k,m;q)| = \left|
Yao, Weili, Zhang, Wenpeng
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Proton FLASH Exposure Preserves Gut Commensal Microbiomes and Spares Intestinal Stem Cells
Advanced Science, EarlyView.This study highlights the role of Proton FLASH abdominal irradiation in sparing of intestinal stem cells and preservation of key gut microbial population resulting minimization of radiation toxicity in intestinal epithelium in mice. Our findings support the potential of Proton FLASH to improve the therapeutic ratio for abdominal radiation exposure ...
Rishi Man Chugh +11 more
wiley +1 more source
The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial
, 2018 We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to $Q$.
Conrey, Brian +2 more
core +1 more source