The Experts below are selected from a list of 47163 Experts worldwide ranked by ideXlab platform
Olga Balkanova - One of the best experts on this subject based on the ideXlab platform.
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Non-vanishing of automorphic L-functions of Prime Power level
Monatshefte für Mathematik, 2017Co-Authors: Olga Balkanova, Dmitry FrolenkovAbstract:We prove that at the minimum \(25\%\) of L-values associated to holomorphic newforms of fixed even integral weight and large Prime Power level do not vanish at the critical point.
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non vanishing of automorphic l functions of Prime Power level
arXiv: Number Theory, 2016Co-Authors: Olga Balkanova, Dmitry FrolenkovAbstract:Iwaniec and Sarnak showed that at the minimum 25% of L-values associated to holomorphic newforms of fixed even integral weight and level $N \rightarrow \infty$ do not vanish at the critical point when N is square-free and $\phi(N)\sim N$. In this paper we extend the given result to the case of Prime Power level $N=p^{\nu}$, $\nu\geq 2$.
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The fourth moment of automorphic L-functions at Prime Power level
2015Co-Authors: Olga BalkanovaAbstract:The main result of this dissertation is an asymptotic formula for the fourth moment of automorphic L-functions of Prime Power level p, v-x. This is a continuation of the work of Rouymi, who computed the first three moments at Prime Power level, and a generalisation of results obtained for Prime level by Duke, Friedlander & Iwaniec and Kowalski, Michel & Vanderkam.
Dmitry Frolenkov - One of the best experts on this subject based on the ideXlab platform.
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Non-vanishing of automorphic L-functions of Prime Power level
Monatshefte für Mathematik, 2017Co-Authors: Olga Balkanova, Dmitry FrolenkovAbstract:We prove that at the minimum \(25\%\) of L-values associated to holomorphic newforms of fixed even integral weight and large Prime Power level do not vanish at the critical point.
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non vanishing of automorphic l functions of Prime Power level
arXiv: Number Theory, 2016Co-Authors: Olga Balkanova, Dmitry FrolenkovAbstract:Iwaniec and Sarnak showed that at the minimum 25% of L-values associated to holomorphic newforms of fixed even integral weight and level $N \rightarrow \infty$ do not vanish at the critical point when N is square-free and $\phi(N)\sim N$. In this paper we extend the given result to the case of Prime Power level $N=p^{\nu}$, $\nu\geq 2$.
María José Felipe - One of the best experts on this subject based on the ideXlab platform.
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Prime Power Indices in Factorised Groups
Mediterranean Journal of Mathematics, 2017Co-Authors: María José Felipe, A. Martínez-pastor, V. M. Ortiz-sotomayorAbstract:Let the group $$G=AB$$ be the product of the subgroups A and B. We determine some structural properties of G when the p-elements in $$A\cup B$$ have Prime Power indices in G, for some Prime p. More generally, we also consider the case that all Prime Power order elements in $$A\cup B$$ have Prime Power indices in G. In particular, when $$G=A=B$$ , we obtain as a consequence some known results.
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Normal subgroups and class sizes of elements of Prime Power order
Proceedings of the American Mathematical Society, 2012Co-Authors: Antonio Beltrán Felip, María José FelipeAbstract:If G is a finite group and N is a normal subgroup of G with two Gconjugacy class sizes of elements of Prime Power order, then we show that N is nilpotent.
Stephan Hell - One of the best experts on this subject based on the ideXlab platform.
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On the number of Tverberg partitions in the Prime Power case
European Journal of Combinatorics, 2007Co-Authors: Stephan HellAbstract:We give an extension of the lower bound of A. Vucic, R. Živaljevic [Notes on a conjecture of Sierksma, Discrete Comput. Geom. 9 (1993) 339-349] for the number of Tverberg partitions from the Prime to the Prime Power case. Our proof is inspired by the Zp-index version of the proof in [J. Matousek, Using the Borsuk-Ulam Theorem, in: Lectures on Topological Methods in Combinatorics and Geometry, Universitext, Springer-Verlag, Heidelberg, 2003] and uses Volovikov's Lemma. Analogously, one obtains an extension of the lower bound for the number of different splittings of a generic necklace to the Prime Power case.
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On the number of Tverberg partitions in the Prime Power case
arXiv: Combinatorics, 2004Co-Authors: Stephan HellAbstract:We give an extension of the lower bound of Vucic and Zivaljevic for the number of Tverberg partitions from the Prime to the Prime Power case. Our proof is inspired by the Z_p-index version of the proof in Matousek's book "Using the Borsuk-Ulam Theorem" and uses Volovikov's Lemma. Analogously, one obtains an extension of the lower bound for the number of different splittings of a generic necklace to the Prime Power case.
Xuding Zhu - One of the best experts on this subject based on the ideXlab platform.
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Weighted-1-antimagic graphs of Prime Power order
Discrete Mathematics, 2012Co-Authors: Po-yi Huang, Tsai Lien Wong, Xuding ZhuAbstract:Abstract Suppose G is a graph, k is a non-negative integer. We say G is weighted- k -antimagic if for any vertex weight function w : V → N , there is an injection f : E → { 1 , 2 , … , ∣ E ∣ + k } such that for any two distinct vertices u and v , ∑ e ∈ E ( v ) f ( e ) + w ( v ) ≠ ∑ e ∈ E ( u ) f ( e ) + w ( u ) . There are connected graphs G ≠ K 2 which are not weighted-1-antimagic. It was asked in Wong and Zhu (in press) [13] whether every connected graph other than K 2 is weighted-2-antimagic, and whether every connected graph on an odd number of vertices is weighted-1-antimagic. It was proved in Wong and Zhu (in press) [13] that if a connected graph G has a universal vertex, then G is weighted-2-antimagic, and moreover if G has an odd number of vertices, then G is weighted-1-antimagic. In this paper, by restricting to graphs of odd Prime Power order, we improve this result in two directions: if G has odd Prime Power order p z and has total domination number 2 with the degree of one vertex in the total dominating set not a multiple of p , then G is weighted-1-antimagic. If G has odd Prime Power order p z , p ≠ 3 and has maximum degree at least ∣ V ( G ) ∣ − 3 , then G is weighted-1-antimagic.
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A simple proof of the multiplicativity of directed cycles of Prime Power length
Discrete Applied Mathematics, 1992Co-Authors: Xuding ZhuAbstract:Abstract This paper gives a simple combinatorial proof of the multiplicativity of directed cycles of Prime Power length.
