Search Results - "Alkan, Emre"

Discretization of prime counting functions, convexity and the Riemann hypothesis by Alkan, Emre

“…We study tails of prime counting functions. Our approach leads to representations with a main term and an error term for the asymptotic size of each tail. It…”
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Covering sumsets of a prime field and class numbers by Alkan, Emre

“…We study covering sumsets of a prime field based on its multiplicative structure. By developing various sufficient analytic and algebraic criteria for their…”
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Inequalities between sums over prime numbers in progressions by Alkan, Emre

“…We investigate a new type of tendency between two progressions of prime numbers which is in support of the claim that prime numbers that are congruent to 3…”
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Averages of values of L-series by ALKAN, EMRE

“…We obtain an exact formula for the average of values of L is then expressed in terms of finite cotangent sums subject to congruence conditions. As…”
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Special values of the Riemann zeta function capture all real numbers by ALKAN, EMRE

“…of the Riemann zeta function is rich enough to capture real numbers in an approximation aspect. Precisely, we prove that any real number can be strongly…”
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Data-driven spatio-temporal RGBD feature encoding for action recognition in operating rooms by Twinanda, Andru P., Alkan, Emre O., Gangi, Afshin, de Mathelin, Michel, Padoy, Nicolas

“…Purpose Context-aware systems for the operating room (OR) provide the possibility to significantly improve surgical workflow through various applications such…”
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Covid-19 pandemisinde toplum ruh sağlığı merkezlerinin hizmet şekli değişikliği ile şizofreni hastalarındaki anksiyete düzeyleri arasındaki ilişki by Özcan Tozoğlu,Elif, Alkan,Emre, Özpolat,Gökhan

“…Amaç: Bu çalışmada Covid-19 pandemisinde Toplum Ruh Sağlığı Merkezlerinin (TRSM) hizmet şekli ile şizofreni hastalarındaki anksiyete düzeyleri arasındaki…”
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Erratum to: Data-driven spatio-temporal RGBD feature encoding for action recognition in operating rooms by Twinanda, Andru P., Alkan, Emre O., Gangi, Afshin, de Mathelin, Michel, Padoy, Nicolas

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Variations on criteria of Pólya and Turán for the Riemann hypothesis by Alkan, Emre

“…For 0≤α≤1, letLα(x)=∑n≤xλ(n)nα, where λ(n) is the Liouville function. Then famous criteria of Pólya and Turán claim that the eventual sign constancy of each of…”
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Diophantine approximation with arithmetic functions, I by Alkan, Emre, Ford, Kevin, Zaharescu, Alexandru

“…We prove a strong simultaneous Diophantine approximation theorem for values of additive and multiplicative functions provided that the functions have certain…”
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Nonvanishing of Fourier coefficients of modular forms by Alkan, Emre

“…Let f=\sum_{n=1}^\infty a_f(n)q^n be a cusp form with integer weight k\ge 2 that is not a linear combination of forms with complex multiplication. For n\ge 1,…”
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Analytic continuation and asymptotics of Dirichlet series with partitions by Alkan, Emre

“…The analytic continuation of a family of Dirichlet series whose coefficients are partition functions having parts in a finite set is established. The…”
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Series representations in the spirit of Ramanujan by Alkan, Emre

“…Using an integral transform with a mild singularity, we obtain series representations valid for specific regions in the complex plane involving trigonometric…”
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Lehmer k-tuples by Alkan, Emre, Florin Stan, Zaharescu, Alexandru

“…Generalizing a classical problem of Lehmer, in this paper we provide an asymptotic result for the number of Lehmer k-tuples…”
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On the mean square average of special values of L-functions by Alkan, Emre

“…Let χ be a Dirichlet character and L(s,χ) be its L-function. Using weighted averages of Gauss and Ramanujan sums, we find exact formulas involving Jordanʼs and…”
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Ramanujan sums are nearly orthogonal to powers by Alkan, Emre

“…Sign of averages of Ramanujan sums is studied and it is shown that these averages have a curious tendency to be positive. This in turn gives that Ramanujan…”
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Values of Dirichlet L-functions, Gauss sums and trigonometric sums by Alkan, Emre

“…Motivated by the classical work of Ramanujan and recent work of Berndt and Zaharescu, we establish certain infinite families of identities relating values of…”
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Lehmer -tuples by Alkan, Emre, Stan, Florin, Zaharescu, Alexandru

“…Generalizing a classical problem of Lehmer, in this paper we provide an asymptotic result for the number of Lehmer k k -tuples…”
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Distribution of averages of Ramanujan sums by Alkan, Emre

“…The average value of a certain normalization of Ramanujan sums is determined in terms of Bernoulli numbers and odd values of the Riemann zeta function. The…”
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Averages of values of -series by Alkan, Emre

“…We obtain an exact formula for the average of values of L L -series over two independent odd characters. The average of any positive moment of values at s = 1…”
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