scholarly journals On Moments of non-normal number fields

Author(s):  
Kalyan Chakraborty ◽  
Krishnarjun Krishnamoorthy
Keyword(s):  
2020 ◽  
Vol 27 (12) ◽  
pp. 1186-1191
Author(s):  
Giuseppe Grande ◽  
Domenico Milardi ◽  
Silvia Baroni ◽  
Andrea Urbani ◽  
Alfredo Pontecorvi

Male hypogonadism is “a clinical syndrome that results from failure of the testis to produce physiological concentrations of testosterone and/or a normal number of spermatozoa due to pathology at one or more levels of the hypothalamic– pituitary–testicular axis”. The diagnostic protocol of male hypogonadism includes accurate medical history, physical exam, as well as hormone assays and instrumental evaluation. Basal hormonal evaluation of serum testosterone, LH, and FSH is important in the evaluation of diseases of the hypothalamus-pituitary-testis axis. Total testosterone levels < 8 nmol/l profoundly suggest the diagnosis of hypogonadism. An inadequate androgen status is moreover possible if the total testosterone levels are 8-12 nmol/L. In this “grey zone” the diagnosis of hypogonadism is debated and the appropriateness for treating these patients with testosterone should be fostered by symptoms, although often non-specific. Up to now, no markers of androgen tissue action can be used in clinical practice. The identification of markers of androgens action might be useful in supporting diagnosis, Testosterone Replacement Treatment (TRT) and clinical follow-up. The aim of this review is to analyze the main findings of recent studies in the field of discovering putative diagnostic markers of male hypogonadism in seminal plasma by proteomic techniques. The identified proteins might represent a “molecular androtest” useful as a seminal fingerprint of male hypogonadism, for the diagnosis of patients with moderate grades of testosterone reduction and in the follow-up of testosterone replacement treatment.


Author(s):  
Farshid Hajir ◽  
Christian Maire ◽  
Ravi Ramakrishna
Keyword(s):  

Author(s):  
Adrian Barquero-Sanchez ◽  
Guillermo Mantilla-Soler ◽  
Nathan C. Ryan
Keyword(s):  

Author(s):  
Antonella Perucca ◽  
Pietro Sgobba ◽  
Sebastiano Tronto
Keyword(s):  

2021 ◽  
Vol 9 ◽  
Author(s):  
David Burns ◽  
Rob de Jeu ◽  
Herbert Gangl ◽  
Alexander D. Rahm ◽  
Dan Yasaki

Abstract We develop methods for constructing explicit generators, modulo torsion, of the $K_3$ -groups of imaginary quadratic number fields. These methods are based on either tessellations of hyperbolic $3$ -space or on direct calculations in suitable pre-Bloch groups and lead to the very first proven examples of explicit generators, modulo torsion, of any infinite $K_3$ -group of a number field. As part of this approach, we make several improvements to the theory of Bloch groups for $ K_3 $ of any field, predict the precise power of $2$ that should occur in the Lichtenbaum conjecture at $ -1 $ and prove that this prediction is valid for all abelian number fields.


2021 ◽  
Vol 131 (1) ◽  
Author(s):  
Abdelmalek Azizi ◽  
Mohammed Tamimi ◽  
Abdelkader Zekhnini
Keyword(s):  

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