Zobrazeno 1 - 10 of 22 pro vyhledávání: '"Dominic Lanphier"'
1
Determining cuspforms from critical values of convolution L-functions and Rankin–Cohen brackets
Autor: Dominic Lanphier
Publikováno v: International Journal of Number Theory. 15:1403-1412
We show that a holomorphic newform [Formula: see text] that is a Hecke eigenfunction can be uniquely determined by certain noncentral critical values of a family of convolution [Formula: see text]-functions [Formula: see text]. The methods are differ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0f7e2674ecc5b302a3f654009bfb4b40
https://doi.org/10.1142/s1793042119500787
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3
Multivariable Faulhaber-type formulas and Barnes zeta functions
Autor: Dominic Lanphier
Publikováno v: Journal of Mathematical Analysis and Applications. 506:125716
A multivariable generalization of Faulhaber's formula is demonstrated and, using Barnes zeta functions, a multivariable generalization of an asymptotic formula for sums of non-integral powers of integers is shown. We also give an asymptotic formula f
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2d9d2b284e347e297b242ec622fcf9c5
https://doi.org/10.1016/j.jmaa.2021.125716
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4
Subgroups of cyclic groups and values of the Riemann zeta function
Autor: Dominic Lanphier, Mahannah El-Farrah
Publikováno v: The Ramanujan Journal. 47:547-564
Let k be a positive integer, x a large real number, and let $$C_n$$ be the cyclic group of order n. For $$k\le n\le x$$ we determine the mean average order of the subgroups of $$C_n$$ generated by k distinct elements and we give asymptotic results of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::71572459ae3b546ba2eb9d25df45ab12
https://doi.org/10.1007/s11139-018-9992-z
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7
DUELS, TRUELS, GRUELS, AND SURVIVAL OF THE UNFITTEST
Autor: Dominic Lanphier
This chapter considers two generalizations of duels. The first generalization is to n players, like n-uels. The other generalization is an iterative duel. The main issue for both of these duel-type games is to determine the likelihood that a player w
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::543a79a2e74297c36aadb227a99f81ee
https://doi.org/10.2307/j.ctt1s4773q.15
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8
Values of Twisted Tensor L-functions of Automorphic Forms Over Imaginary Quadratic Fields
Autor: Howard Skogman, Hiroyuki Ochiai, Dominic Lanphier
Publikováno v: Canadian Journal of Mathematics. 66:1078-1109
Let K be a complex quadratic extension of and let denote the adeles of K. We find special values at all of the critical points of twisted tensor L-functions attached to cohomological cuspforms on GL2() and establish Galois equivariance of the values.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aec34b5d6332eb2ecc7a889a591d7c8f
https://doi.org/10.4153/cjm-2013-047-5
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9
Vulnerability of nearest neighbor graphs
Autor: Molly W. Dunkum, Dominic Lanphier
Publikováno v: Discrete Applied Mathematics. 171:42-52
We study several measures of vulnerability of nearest neighbor graphs. We obtain estimates on the toughness, the tenacity, the scattering number, and the rupture degree of nearest neighbor graphs. The method is to recursively apply a certain separato
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6735c02148105df13ce8db348815c6bf
https://doi.org/10.1016/j.dam.2014.02.021
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