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Journal articles on the topic 'L-values'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

AGASHE, AMOD. "SQUARENESS IN THE SPECIAL L-VALUE AND SPECIAL L-VALUES OF TWISTS." International Journal of Number Theory 06, no. 05 (2010): 1091–111. http://dx.doi.org/10.1142/s1793042110003393.

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Let N be a prime and let A be a quotient of J0(N) over Q associated to a newform such that the special L-value of A (at s = 1) is non-zero. Suppose that the algebraic part of the special L-value of A is divisible by an odd prime q such that q does not divide the numerator of [Formula: see text]. Then the Birch and Swinnerton-Dyer conjecture predicts that the q-adic valuations of the algebraic part of the special L-value of A and of the order of the Shafarevich–Tate group are both positive even numbers. Under a certain mod q non-vanishing hypothesis on special L-values of twists of A, we show t

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2

ARAKAWA, Tsuneo, and Masanobu KANEKO. "On multiple $L$ -values." Journal of the Mathematical Society of Japan 56, no. 4 (2004): 967–91. http://dx.doi.org/10.2969/jmsj/1190905444.

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3

Yoshida, Hiroyuki. "Cohomology and $L$ -values." Kyoto Journal of Mathematics 52, no. 2 (2012): 369–432. http://dx.doi.org/10.1215/21562261-1551003.

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4

Mourtada, Mariam, та V. Kumar Murty. "Distribution of values of L′/L(σ,χD)". Moscow Mathematical Journal 15, № 3 (2015): 497–509. http://dx.doi.org/10.17323/1609-4514-2015-15-3-497-509.

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5

Hatcher, Rhonda L. "Special Values of L-Series." Proceedings of the American Mathematical Society 114, no. 2 (1992): 337. http://dx.doi.org/10.2307/2159652.

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6

Moerman, Boaz. "L-values for conductor 32." Journal of Number Theory 234 (May 2022): 1–30. http://dx.doi.org/10.1016/j.jnt.2021.09.013.

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7

Hatcher, Rhonda L. "Special values of $L$-series." Proceedings of the American Mathematical Society 114, no. 2 (1992): 337. http://dx.doi.org/10.1090/s0002-9939-1992-1068124-1.

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8

Terhune, David. "Evaluation of double L-values." Journal of Number Theory 105, no. 2 (2004): 275–301. http://dx.doi.org/10.1016/j.jnt.2003.11.007.

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9

Plaggenborg, Stefan. "David L. Hoffmann, Stalinist values." Cahiers du monde russe 44, no. 44/4 (2003): 761–63. http://dx.doi.org/10.4000/monderusse.4124.

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10

Sasaki, Yoshitaka. "Zeta Mahler measures, multiple zeta values and L-values." International Journal of Number Theory 11, no. 07 (2015): 2239–46. http://dx.doi.org/10.1142/s1793042115501006.

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The zeta Mahler measure is the generating function of higher Mahler measures. In this article, explicit formulas of higher Mahler measures, and relations between higher Mahler measures and multiple zeta (star) values are showed by observing connections between zeta Mahler measures and the generating functions of multiple zeta (star) values. Additionally, connections between higher Mahler measures and Dirichlet L-values associated with primitive quadratic characters are discussed.

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11

Perkins, Rudolph Bronson. "Explicit formulae for $$L$$ L -values in positive characteristic." Mathematische Zeitschrift 278, no. 1-2 (2014): 279–99. http://dx.doi.org/10.1007/s00209-014-1315-5.

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12

Rogers, M., J. G. Wan, and I. J. Zucker. "Moments of elliptic integrals and critical $$L$$ L -values." Ramanujan Journal 37, no. 1 (2014): 113–30. http://dx.doi.org/10.1007/s11139-014-9584-5.

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13

Murase, Atsushi. "CM values and central L-values of elliptic modular forms." Mathematische Annalen 347, no. 3 (2009): 529–43. http://dx.doi.org/10.1007/s00208-009-0447-0.

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14

Block, Henry W., William S. Griffith, and Thomas H. Savits. "L-superadditive structure functions." Advances in Applied Probability 21, no. 4 (1989): 919–29. http://dx.doi.org/10.2307/1427774.

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Structure functions relate the level of operations of a system as a function of the level of the operation of its components. In this paper structure functions are studied which have an intuitive property, called L-superadditive (L-subadditive). Such functions describe whether a system is more series-like or more parallel-like. L-superadditive functions are also known under the names supermodular, quasi-monotone and superadditive and have been studied by many authors. Basic properties of both discrete and continuous (i.e., taking a continuum of values) L-superadditive structure functions are s

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15

Block, Henry W., William S. Griffith, and Thomas H. Savits. "L-superadditive structure functions." Advances in Applied Probability 21, no. 04 (1989): 919–29. http://dx.doi.org/10.1017/s0001867800019121.

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Structure functions relate the level of operations of a system as a function of the level of the operation of its components. In this paper structure functions are studied which have an intuitive property, called L-superadditive (L-subadditive). Such functions describe whether a system is more series-like or more parallel-like. L-superadditive functions are also known under the names supermodular, quasi-monotone and superadditive and have been studied by many authors. Basic properties of both discrete and continuous (i.e., taking a continuum of values) L-superadditive structure functions are s

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16

Taelman, Lenny. "Special L-values of Drinfeld modules." Annals of Mathematics 175, no. 1 (2012): 369–91. http://dx.doi.org/10.4007/annals.2012.175.1.10.

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17

Alkan, Emre. "Averages of values of $L$-series." Proceedings of the American Mathematical Society 141, no. 4 (2012): 1161–75. http://dx.doi.org/10.1090/s0002-9939-2012-11506-0.

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18

Hida, Haruzo. "On the critical values of $L$." Duke Mathematical Journal 74, no. 2 (1994): 431–529. http://dx.doi.org/10.1215/s0012-7094-94-07417-6.

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19

Knightly, Andrew, and Charles Li. "Weighted averages of modular $L$-values." Transactions of the American Mathematical Society 362, no. 03 (2009): 1423–43. http://dx.doi.org/10.1090/s0002-9947-09-04923-x.

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20

Fomenko, O. M. "Extreme Values of Automorphic L-Functions." Journal of Mathematical Sciences 193, no. 1 (2013): 136–44. http://dx.doi.org/10.1007/s10958-013-1442-2.

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21

Scholbach, Jakob. "Special $L$-values of geometric motives." Asian Journal of Mathematics 21, no. 2 (2017): 225–64. http://dx.doi.org/10.4310/ajm.2017.v21.n2.a2.

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22

Vatsal, V. "Special values of anticyclotomic $L$-functions." Duke Mathematical Journal 116, no. 2 (2003): 219–61. http://dx.doi.org/10.1215/s0012-7094-03-11622-1.

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23

Ward, Kenneth. "Values of twisted Artin L-functions." Archiv der Mathematik 103, no. 3 (2014): 285–90. http://dx.doi.org/10.1007/s00013-014-0692-7.

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24

Peter, Manfred. "Mean values of Dirichlet L-series." Mathematische Annalen 318, no. 1 (2000): 67–84. http://dx.doi.org/10.1007/s002080000109.

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25

Webb, John J. "Partition values and central critical values of certain modular $L$-functions." Proceedings of the American Mathematical Society 138, no. 04 (2010): 1263. http://dx.doi.org/10.1090/s0002-9939-09-10188-0.

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26

Liu, Fang, Xiao-Min Li, and Hong-Xun Yi. "Value distribution of L-functions concerning shared values and certain differential polynomials." Proceedings of the Japan Academy, Series A, Mathematical Sciences 93, no. 5 (2017): 41–46. http://dx.doi.org/10.3792/pjaa.93.41.

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27

Lu, Qing. "Bounds for the spectral mean value of central values of L-functions." Journal of Number Theory 132, no. 5 (2012): 1016–37. http://dx.doi.org/10.1016/j.jnt.2011.12.008.

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28

Dummigan, Neil, and Vasily Golyshev. "Quadratic $${\mathbb {Q}}$$ Q -curves, units and Hecke $$L$$ L -values." Mathematische Zeitschrift 280, no. 3-4 (2015): 1015–29. http://dx.doi.org/10.1007/s00209-015-1463-2.

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29

Garrett, Paul B., and Michael Harris. "Special Values of Triple Product L-Functions." American Journal of Mathematics 115, no. 1 (1993): 161. http://dx.doi.org/10.2307/2374726.

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30

Lee, Joon-Gul. "CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS." Honam Mathematical Journal 32, no. 4 (2010): 791–95. http://dx.doi.org/10.5831/hmj.2010.32.4.791.

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31

Anglès, Bruno, Lenny Taelman, and Vincent Bosser. "Arithmetic of characteristic p special L-values." Proceedings of the London Mathematical Society 110, no. 4 (2015): 1000–1032. http://dx.doi.org/10.1112/plms/pdu067.

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32

Friedman, Michael. "Sports and Social Values. Robert L. Simon." Ethics 96, no. 4 (1986): 886–87. http://dx.doi.org/10.1086/292811.

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33

Dummigan, Neil, and Mark Watkins. "Critical Values of Symmetric Power L-functions." Pure and Applied Mathematics Quarterly 5, no. 1 (2009): 127–61. http://dx.doi.org/10.4310/pamq.2009.v5.n1.a4.

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34

Furusawa, Masaaki, and Kazuki Morimoto. "On special values of certain L-functions." American Journal of Mathematics 136, no. 5 (2014): 1385–407. http://dx.doi.org/10.1353/ajm.2014.0032.

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35

Xue, Hang. "Central values of degree six L-functions." Journal of Number Theory 203 (October 2019): 350–59. http://dx.doi.org/10.1016/j.jnt.2019.03.007.

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36

Khuri-Makdisi, Kamal, Winfried Kohnen, and Wissam Raji. "Values of L-series of Hecke eigenforms." Journal of Number Theory 211 (June 2020): 28–42. http://dx.doi.org/10.1016/j.jnt.2019.10.014.

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37

Tsumura, Hirofumi. "On evaluation formulas for double L-values." Bulletin of the Australian Mathematical Society 70, no. 2 (2004): 213–21. http://dx.doi.org/10.1017/s0004972700034432.

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In this paper, we give some evaluation formulas for the values of double L-series of Tornheim's type, in terms of the Dirichlet L-values and the Riemann zeta values at positive integers. As special cases, these give the formulas for double L-values given by Terhune.

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38

Zhang, Qiao. "Integral mean values of modular L-functions." Journal of Number Theory 115, no. 1 (2005): 100–122. http://dx.doi.org/10.1016/j.jnt.2004.10.007.

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39

Fukuhara, Shinji, and Yifan Yang. "Twisted Hecke L-values and period polynomials." Journal of Number Theory 130, no. 4 (2010): 976–99. http://dx.doi.org/10.1016/j.jnt.2009.09.009.

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40

Fang, Jiangxue. "Special L-values of abelian t-modules." Journal of Number Theory 147 (February 2015): 300–325. http://dx.doi.org/10.1016/j.jnt.2014.07.012.

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41

Beilinson, A. A. "Higher regulators and values of L-functions." Journal of Soviet Mathematics 30, no. 2 (1985): 2036–70. http://dx.doi.org/10.1007/bf02105861.

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42

Anglès, Bruno, Tuan Ngo Dac, and Floric Tavares Ribeiro. "On special L-values of t-modules." Advances in Mathematics 372 (October 2020): 107313. http://dx.doi.org/10.1016/j.aim.2020.107313.

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43

Koyama, Shin-ya, and Nobushige Kurokawa. "Triple mean values of Witten L-functions." Monatshefte für Mathematik 181, no. 2 (2015): 405–18. http://dx.doi.org/10.1007/s00605-015-0841-5.

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44

Samart, Detchat. "Feynman integrals and critical modular $L$-values." Communications in Number Theory and Physics 10, no. 1 (2016): 133–56. http://dx.doi.org/10.4310/cntp.2016.v10.n1.a5.

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45

Gross, Benedict H. "On the values of Artin L-functions." Pure and Applied Mathematics Quarterly 1, no. 1 (2005): 1–13. http://dx.doi.org/10.4310/pamq.2005.v1.n1.a1.

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46

Aistleitner, Christoph, Kamalakshya Mahatab, Marc Munsch та Alexandre Peyrot. "On large values of L(σ,χ)". Quarterly Journal of Mathematics 70, № 3 (2018): 831–48. http://dx.doi.org/10.1093/qmath/hay067.

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Abstract In recent years, a variant of the resonance method was developed which allowed to obtain improved Ω-results for the Riemann zeta function along vertical lines in the critical strip. In the present paper, we show how this method can be adapted to prove the existence of large values of |L(σ,χ)| in the range σ∈(1/2,1], and to estimate the proportion of characters for which |L(σ,χ)| is of such a large order. More precisely, for every fixed σ∈(1/2,1), we show that for all sufficiently large q, there is a non-principal character χ(modq) such that log|L(σ,χ)|≥C(σ)(logq)1−σ(loglogq)−σ. In the

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47

Yamamoto, Shuji. "A sum formula of multiple L-values." International Journal of Number Theory 11, no. 01 (2014): 127–37. http://dx.doi.org/10.1142/s1793042115500074.

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We prove an alternating sum formula of certain multiple L-values conjectured by Essouabri, Matsumoto and Tsumura, which generalizes the sum formula of multiple zeta values. The proof relies on the method of partial fraction decomposition.

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48

Kawashima, Gaku, Tatsushi Tanaka, and Noriko Wakabayashi. "Cyclic sum formula for multiple L-values." Journal of Algebra 348, no. 1 (2011): 336–49. http://dx.doi.org/10.1016/j.jalgebra.2011.09.021.

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49

Ihara, Kentaro. "Special values of multiple Hecke L-functions." Journal of Applied Mathematics and Computing 40, no. 1-2 (2012): 649–58. http://dx.doi.org/10.1007/s12190-012-0542-3.

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50

Soundararajan, K. "Extreme values of zeta and L-functions." Mathematische Annalen 342, no. 2 (2008): 467–86. http://dx.doi.org/10.1007/s00208-008-0243-2.

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