Relevant bibliographies by topics / Exponential sums

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Exponential sums'

Author: Grafiati
Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Exponential sums"

1

Shparlinski, Igor E., and José Felipe Voloch. "Binomial exponential sums." ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA - CLASSE DI SCIENZE 21, no. 2 (2020): 931–41. http://dx.doi.org/10.2422/2036-2145.201811_007.

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Krätzel, Ekkehard. "DOUBLE EXPONENTIAL SUMS." Analysis 16, no. 2 (1996): 109–24. http://dx.doi.org/10.1524/anly.1996.16.2.109.

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Kerr, B. "INCOMPLETE EXPONENTIAL SUMS OVER EXPONENTIAL FUNCTIONS." Quarterly Journal of Mathematics 66, no. 1 (2014): 213–24. http://dx.doi.org/10.1093/qmath/hau015.

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Shparlinski, Igor E., and Kam Hung Yau. "Double exponential sums with exponential functions." International Journal of Number Theory 13, no. 10 (2017): 2531–43. http://dx.doi.org/10.1142/s179304211750141x.

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We obtain several estimates for double rational exponential sums modulo a prime [Formula: see text] with products [Formula: see text] where both [Formula: see text] and [Formula: see text] run through short intervals and [Formula: see text] is fixed integer. We also obtain some new estimates for the number of points on exponential modular curves [Formula: see text] and similar.
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Proskurin, N. V. "On Cubic Exponential Sums and Gauss Sums." Journal of Mathematical Sciences 234, no. 5 (2018): 697–700. http://dx.doi.org/10.1007/s10958-018-4037-0.

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Cochrane, Todd, Christopher Pinner, and Jason Rosenhouse. "Sparse polynomial exponential sums." Acta Arithmetica 108, no. 1 (2003): 37–52. http://dx.doi.org/10.4064/aa108-1-4.

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Štefaňák, M., D. Haase, W. Merkel, M. S. Zubairy, and W. P. Schleich. "Factorization with exponential sums." Journal of Physics A: Mathematical and Theoretical 41, no. 30 (2008): 304024. http://dx.doi.org/10.1088/1751-8113/41/30/304024.

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Erdélyi, T. "Inequalities for exponential sums." Sbornik: Mathematics 208, no. 3 (2017): 433–64. http://dx.doi.org/10.1070/sm8670.

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Fouvry, Etienne, and Henryk Iwaniec. "Exponential sums with monomials." Journal of Number Theory 33, no. 3 (1989): 311–33. http://dx.doi.org/10.1016/0022-314x(89)90067-x.

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Adolphson, Alan, and Steven Sperber. "On twisted exponential sums." Mathematische Annalen 290, no. 1 (1991): 713–26. http://dx.doi.org/10.1007/bf01459269.

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Dissertations / Theses on the topic "Exponential sums"

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Louvel, Benoît. "Twisted Kloosterman sums and cubic exponential sums." Doctoral thesis, Montpellier 2, 2008. http://hdl.handle.net/11858/00-1735-0000-0006-B3CB-A.

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Chambille, Saskia. "Exponential sums, cell decomposition and p-adic integration." Thesis, Lille 1, 2018. http://www.theses.fr/2018LIL1I023/document.

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Dans cette thèse nous étudions des sommes exponentielles et des intégrales p-adiques, en utilisant la théorie des modèles et la géométrie. La première partie traite des sommes exponentielles dans des corps P-minimaux. La deuxième partie examine le comportement asymptotique des sommes exponentielles sur les corps p-adiques. Dans la première partie nous commençons par démontrer une théorème de décomposition cellulaire pour tous les corps P-minimaux, c.-à-d. indépendamment de l’existence des fonctions de Skolem définissables. En l’absence de ces fonctions nous introduisons les cellules en grappe
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Watt, N. "some problems in analytic number theory." Thesis, Bucks New University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384667.

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Alsulmi, Badria. "Generalized Jacobi sums modulo prime powers." Diss., Kansas State University, 2016. http://hdl.handle.net/2097/32668.

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Allison, Gisele. "Some problems related to incomplete character sums." Thesis, University of Nottingham, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.285601.

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Chênevert, Gabriel. "Exponential sums, hypersurfaces with many symmetries and Galois representations." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=32386.

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The main theme of this thesis is the study of compatible systems of $\ell$-adic Galois representations provided by the étale cohomology of arithmetic varieties with a large group of symmetries. A canonical decomposition of these systems into isotypic components is proven (Section 3.1). The isotypic components are realized as the cohomology of the quotient with values in a certain sheaf, thus providing a geometrical interpretation for the rationality of the corresponding $L$-functions. A particular family
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Pigno, Vincent. "Prime power exponential and character sums with explicit evaluations." Diss., Kansas State University, 2014. http://hdl.handle.net/2097/18277.

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Doctor of Philosophy<br>Department of Mathematics<br>Christopher Pinner<br>Exponential and character sums occur frequently in number theory. In most applications one is only interested in estimating such sums. Explicit evaluations of such sums are rare. In this thesis we succeed in evaluating three types of sums when p is a prime and m is sufficiently large. The twisted monomial sum, the binomial character sum, and the generalized Jacobi sum. We additionally show that these are all sums which can be expressed in terms of classical Gauss sums.
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Qin, Huan. "Averages of fractional exponential sums weighted by Maass forms." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5607.

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The purpose of this study is to investigate the oscillatory behavior of the fractional exponential sum weighted by certain automorphic forms for GL(2) x GL(3) case. Automorphic forms are complex-values functions defined on some topological groups which satisfy a number of applicable properties. One nice property that all automorphic forms admit is the existence of Fourier series expansions, which allows us to study the properties of automorphic forms by investigating their corresponding Fourier coefficients. The Maass forms is one family of the classical automorphic forms, which is the major f
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Wong, Chi-Yan, and 黃志仁. "Some results on the error terms in certain exponential sums involving the divisor function." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B42577147.

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Wong, Chi-Yan. "Some results on the error terms in certain exponential sums involving the divisor function." Click to view the E-thesis via HKUTO, 2002. http://sunzi.lib.hku.hk/hkuto/record/B42577147.

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Books on the topic "Exponential sums"

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Korobov, N. M. Exponential sums and their applications. Kluwer Academic Publishers, 1992.

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Graham, S. W. Van der Corputʼs method of exponential sums. Cambridge University Press, 1991.

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Koni͡agin, S. V. Character sums with exponential functions and their applications. Cambridge University Press, 1999.

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Exponential sums and differential equations. Princeton University Press, 1990.

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Korobov, N. M. Exponential Sums and their Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8032-8.

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Huxley, M. N. Area, lattice points, and exponential sums. Clarendon Press, 1996.

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Graham, Sidney W. Van der Corput's method of exponential sums. Cambridge University Press, 1991.

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Graham, Sidney W. Van der Corput's method of exponential sums. Cambridge University Press, 1991.

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Bachman, Gennady. On the coefficients of cyclotomic polynomials. American Mathematical Society, 1993.

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10

Shestopaloff, Yuri K. Sums of exponential functions and their new fundamental properties, with applications to natural phenomena. AKVY Press, 2008.

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Book chapters on the topic "Exponential sums"

1

Bordellès, Olivier. "Exponential Sums." In Universitext. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54946-6_6.

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Bordellès, Olivier. "Exponential Sums." In Universitext. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4096-2_6.

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Shparlinski, Igor. "Exponential Sums." In Cryptographic Applications of Analytic Number Theory. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8037-4_4.

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Yuan, Wang. "Complete Exponential Sums." In Diophantine Equations and Inequalities in Algebraic Number Fields. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-58171-7_2.

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Korobov, N. M. "Complete Exponential Sums." In Exponential Sums and their Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8032-8_1.

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Korobov, N. M. "Weyl’s Sums." In Exponential Sums and their Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8032-8_2.

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Braess, Dietrich. "Approximation by Exponential Sums." In Nonlinear Approximation Theory. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61609-9_6.

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Daboussi, H. "On some Exponential Sums." In Analytic Number Theory. Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4612-3464-7_9.

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Ramaré, Olivier. "Three Arithmetical Exponential Sums." In Excursions in Multiplicative Number Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-73169-4_26.

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Cai, Jin-Yi, Xi Chen, Richard Lipton, and Pinyan Lu. "On Tractable Exponential Sums." In Frontiers in Algorithmics. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14553-7_16.

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Conference papers on the topic "Exponential sums"

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Okada, Tatsuya, Zenji Kobayashi, Takeshi Sekiguchi, Yasunobu Shiota, and Takao Komatsu. "On exponential sums of digital sums related to Gelfond's theorem." In DIOPHANTINE ANALYSIS AND RELATED FIELDS: DARF 2007/2008. AIP, 2008. http://dx.doi.org/10.1063/1.2841904.

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Diederichs, Benedikt, and Armin Iske. "Parameter estimation for bivariate exponential sums." In 2015 International Conference on Sampling Theory and Applications (SampTA). IEEE, 2015. http://dx.doi.org/10.1109/sampta.2015.7148940.

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SHPARLINSKI, IGOR E. "OPEN PROBLEMS ON EXPONENTIAL AND CHARACTER SUMS." In Proceedings of the 5th China-Japan Seminar. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814289924_0010.

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Schmidt, Kai-Uwe. "ℤ4-valued quadratic forms and exponential sums." In 2008 IEEE International Symposium on Information Theory - ISIT. IEEE, 2008. http://dx.doi.org/10.1109/isit.2008.4595495.

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Štefaňák, M., W. Merkel, M. Mehring, and W. P. Schleich. "NMR implementation of exponential sums for integer factorization." In Proceedings of the International Symposium. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812818942_0006.

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Moore, Cristopher, and Leonard J. Schulman. "Tree codes and a conjecture on exponential sums." In ITCS'14: Innovations in Theoretical Computer Science. ACM, 2014. http://dx.doi.org/10.1145/2554797.2554813.

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Barvinok, Alexander I. "Computing the volume, counting integral points, and exponential sums." In the eighth annual symposium. ACM Press, 1992. http://dx.doi.org/10.1145/142675.142713.

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Hai Xin and Li Chao. "Value distributions of exponential sums from perfect nonlinear functions." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5623154.

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Helleseth, Tor. "Cross-correlation of M-sequences, exponential sums and dickson polynomials." In 2009 Fourth International Workshop on Signal Design and its Applications in Communications (IWSDA). IEEE, 2009. http://dx.doi.org/10.1109/iwsda.2009.5346425.

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Tonn, David, and Bourama Toni. "Expansion in Exponential Sums with Application to Discrete Complex Image Theory." In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/USNC-URSI). IEEE, 2022. http://dx.doi.org/10.1109/ap-s/usnc-ursi47032.2022.9886135.

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