Brent, Barry Polynomial interpolation of modular forms for Hecke groups. (English) Zbl 1483.11074 Integers 21, Paper A118, 42 p. (2021). MSC: 11F11 PDFBibTeX XMLCite \textit{B. Brent}, Integers 21, Paper A118, 42 p. (2021; Zbl 1483.11074) Full Text: arXiv Link
Li, Xiao-Min; Yuan, Qian-Qian; Yi, Hong-Xun Value distribution of \(L\)-functions and a question of Chung-Chun Yang. (English) Zbl 1483.11192 Kyungpook Math. J. 61, No. 3, 495-512 (2021). MSC: 11M36 30D35 PDFBibTeX XMLCite \textit{X.-M. Li} et al., Kyungpook Math. J. 61, No. 3, 495--512 (2021; Zbl 1483.11192) Full Text: DOI
Mandal, Nintu Value distributions of \(L\)-functions concerning polynomial sharing. (English) Zbl 1483.11193 Commun. Korean Math. Soc. 36, No. 4, 729-741 (2021). MSC: 11M36 30D35 PDFBibTeX XMLCite \textit{N. Mandal}, Commun. Korean Math. Soc. 36, No. 4, 729--741 (2021; Zbl 1483.11193) Full Text: DOI
Griffin, Trevor; Kenshur, Nathan; Price, Abigail; Vandenberg-Daves, Bradshaw; Xue, Hui; Zhu, Daozhou Interlacing of zeros of Eisenstein series. (English) Zbl 1483.11076 Kyushu J. Math. 75, No. 2, 249-272 (2021). MSC: 11F11 11F03 11F67 PDFBibTeX XMLCite \textit{T. Griffin} et al., Kyushu J. Math. 75, No. 2, 249--272 (2021; Zbl 1483.11076) Full Text: DOI
Dasgupta, Samit; Kakde, Mahesh On constant terms of Eisenstein series. (English) Zbl 1483.11088 Acta Arith. 200, No. 2, 119-147 (2021). MSC: 11F41 11F30 PDFBibTeX XMLCite \textit{S. Dasgupta} and \textit{M. Kakde}, Acta Arith. 200, No. 2, 119--147 (2021; Zbl 1483.11088) Full Text: DOI arXiv
Adolphson, Alan; Sperber, Steven On integrality properties of hypergeometric series. (English) Zbl 1506.33006 Funct. Approximatio, Comment. Math. 65, No. 1, 7-31 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 33C20 11Z05 14D05 PDFBibTeX XMLCite \textit{A. Adolphson} and \textit{S. Sperber}, Funct. Approximatio, Comment. Math. 65, No. 1, 7--31 (2021; Zbl 1506.33006) Full Text: DOI arXiv
Fassari, S.; Nieto, L. M.; Rinaldi, F.; San Millán, C. The quantum harmonic oscillator and Catalan’s constant. (English) Zbl 07458547 Rep. Math. Phys. 88, No. 2, 195-202 (2021). MSC: 81Q05 11M36 PDFBibTeX XMLCite \textit{S. Fassari} et al., Rep. Math. Phys. 88, No. 2, 195--202 (2021; Zbl 07458547) Full Text: DOI
Kirsten, Klaus; Lee, Yoonweon The BFK-gluing formula for zeta-determinants and the conformal rescaling of a metric. (English) Zbl 1501.58018 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 281-303 (2021). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 58J50 58J20 58J40 11M36 35P20 PDFBibTeX XMLCite \textit{K. Kirsten} and \textit{Y. Lee}, Oper. Theory: Adv. Appl. 285, 281--303 (2021; Zbl 1501.58018) Full Text: DOI
Yu, Jing-Jun On the representation of integers as sums of a class of triangular numbers. (English) Zbl 1483.11066 Math. Notes 110, No. 5, 679-686 (2021). MSC: 11E25 11F11 11F03 11G05 PDFBibTeX XMLCite \textit{J.-J. Yu}, Math. Notes 110, No. 5, 679--686 (2021; Zbl 1483.11066) Full Text: DOI
Banerjee, Abhijit; Kundu, Arpita Uniqueness and two shared set problems of \(L\)-function and certain class of meromorphic function. (English) Zbl 1488.11137 Jordan J. Math. Stat. 14, No. 4, 731-754 (2021). MSC: 11M36 30D35 PDFBibTeX XMLCite \textit{A. Banerjee} and \textit{A. Kundu}, Jordan J. Math. Stat. 14, No. 4, 731--754 (2021; Zbl 1488.11137) Full Text: arXiv
Labesse, Jean-Pierre The Langlands spectral decomposition. (English) Zbl 1500.11045 Mueller, Julia (ed.) et al., The genesis of the Langlands program. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 467, 176-214 (2021). Reviewer: Laurent Guillopé (Nantes) MSC: 11F70 11M36 11F72 PDFBibTeX XMLCite \textit{J.-P. Labesse}, Lond. Math. Soc. Lect. Note Ser. 467, 176--214 (2021; Zbl 1500.11045) Full Text: DOI arXiv Link
Shen, Shu Analytic torsion and dynamical flow: a survey on the Fried conjecture. (English) Zbl 1484.58010 Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 247-299 (2021). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J20 58J52 11F72 11M36 37C30 37C10 PDFBibTeX XMLCite \textit{S. Shen}, Prog. Math. 338, 247--299 (2021; Zbl 1484.58010) Full Text: DOI
Duke, William; Imamoḡlu, Özlem; Tóth, Árpad On a class number formula of Hurwitz. (English) Zbl 1495.11055 J. Eur. Math. Soc. (JEMS) 23, No. 12, 3995-4008 (2021). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E41 11E16 11E45 11R42 11M36 13D40 PDFBibTeX XMLCite \textit{W. Duke} et al., J. Eur. Math. Soc. (JEMS) 23, No. 12, 3995--4008 (2021; Zbl 1495.11055) Full Text: DOI
Heim, Bernhard; Neuhauser, Markus On the growth and zeros of polynomials attached to arithmetic functions. (English) Zbl 1483.11083 Abh. Math. Semin. Univ. Hamb. 91, No. 2, 305-323 (2021). MSC: 11F30 11M36 26C10 05A17 11B37 PDFBibTeX XMLCite \textit{B. Heim} and \textit{M. Neuhauser}, Abh. Math. Semin. Univ. Hamb. 91, No. 2, 305--323 (2021; Zbl 1483.11083) Full Text: DOI arXiv
Im, Bo-Hae; Lee, Wonwoong The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series. (English) Zbl 1487.11072 Ramanujan J. 56, No. 3, 865-889 (2021). Reviewer: Michel Waldschmidt (Paris) MSC: 11J89 11J91 11F11 13N99 PDFBibTeX XMLCite \textit{B.-H. Im} and \textit{W. Lee}, Ramanujan J. 56, No. 3, 865--889 (2021; Zbl 1487.11072) Full Text: DOI
Yamauchi, Takuya Congruences of Siegel Eisenstein series of degree two. (English) Zbl 1475.11088 Manuscr. Math. 166, No. 3-4, 589-603 (2021). MSC: 11F46 11F33 PDFBibTeX XMLCite \textit{T. Yamauchi}, Manuscr. Math. 166, No. 3--4, 589--603 (2021; Zbl 1475.11088) Full Text: DOI arXiv
Stein, Oliver Analytic properties of Eisenstein series and standard \(L\)-functions. (English) Zbl 1489.11064 Nagoya Math. J. 244, 168-203 (2021). Reviewer: Brandon Williams (Berkeley) MSC: 11F27 11F55 11F66 11M41 PDFBibTeX XMLCite \textit{O. Stein}, Nagoya Math. J. 244, 168--203 (2021; Zbl 1489.11064) Full Text: DOI
Kundu, Arpita; Banerjee, Abhijit Uniqueness of \(L\) function with special class of meromorphic function in the light of two shared sets. (English) Zbl 1482.11117 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1227-1244 (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M36 30D35 PDFBibTeX XMLCite \textit{A. Kundu} and \textit{A. Banerjee}, Rend. Circ. Mat. Palermo (2) 70, No. 3, 1227--1244 (2021; Zbl 1482.11117) Full Text: DOI
Faulhuber, Markus Some curious results related to a conjecture of Strohmer and Beaver. (English) Zbl 1480.42041 Anal. Appl., Singap. 19, No. 5, 845-873 (2021). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C15 11M36 33E05 PDFBibTeX XMLCite \textit{M. Faulhuber}, Anal. Appl., Singap. 19, No. 5, 845--873 (2021; Zbl 1480.42041) Full Text: DOI arXiv
Teo, Lee-Peng Resolvent trace formula and determinants of \(n\) Laplacians on orbifold Riemann surfaces. (English) Zbl 1477.30036 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 083, 40 p. (2021). MSC: 30F30 11F72 11M36 58J52 PDFBibTeX XMLCite \textit{L.-P. Teo}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 083, 40 p. (2021; Zbl 1477.30036) Full Text: DOI arXiv
Tseng, Jimmy Eisenstein series and an asymptotic for the \(K\)-Bessel function. (English) Zbl 1486.41014 Ramanujan J. 56, No. 1, 323-345 (2021). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33C10 11M36 PDFBibTeX XMLCite \textit{J. Tseng}, Ramanujan J. 56, No. 1, 323--345 (2021; Zbl 1486.41014) Full Text: DOI arXiv
Katz, Nicholas M. On a question of Zannier. (English) Zbl 1485.11098 Exp. Math. 30, No. 3, 422-428 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11K99 14G15 14H10 14H52 PDFBibTeX XMLCite \textit{N. M. Katz}, Exp. Math. 30, No. 3, 422--428 (2021; Zbl 1485.11098) Full Text: DOI
Kačinskaitė, Roma; Matsumoto, Kohji The discrete case of the mixed joint universality for a class of certain partial zeta-functions. (English) Zbl 1483.11191 Taiwanese J. Math. 25, No. 4, 647-663 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11M36 11M06 11M41 41A30 30E10 PDFBibTeX XMLCite \textit{R. Kačinskaitė} and \textit{K. Matsumoto}, Taiwanese J. Math. 25, No. 4, 647--663 (2021; Zbl 1483.11191) Full Text: DOI arXiv
Kiming, Ian; Rustom, Nadim Eisenstein series, \(p\)-adic modular functions, and overconvergence. (English) Zbl 1489.11069 Res. Number Theory 7, No. 4, Paper No. 65, 33 p. (2021). MSC: 11F33 11F85 PDFBibTeX XMLCite \textit{I. Kiming} and \textit{N. Rustom}, Res. Number Theory 7, No. 4, Paper No. 65, 33 p. (2021; Zbl 1489.11069) Full Text: DOI arXiv
Uetake, Yoichi Systems, scattering and operators, and their connections with number theory. (English) Zbl 1471.93131 Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 123-141 (2021). MSC: 93C05 47A40 47A11 11F66 11F70 35J05 PDFBibTeX XMLCite \textit{Y. Uetake}, Banach Cent. Publ. 124, 123--141 (2021; Zbl 1471.93131) Full Text: DOI
Franke, Johann A dominated convergence theorem for Eisenstein series. (English. French summary) Zbl 1484.11110 Ann. Math. Qué. 45, No. 2, 291-320 (2021). Reviewer: Emre Alkan (İstanbul) MSC: 11F11 11M41 PDFBibTeX XMLCite \textit{J. Franke}, Ann. Math. Qué. 45, No. 2, 291--320 (2021; Zbl 1484.11110) Full Text: DOI
Wu, Aidi; Lin, Weichuan Uniqueness theorems of \(L\)-functions in the extended Selberg class. (Chinese. English summary) Zbl 1488.11140 J. Fujian Norm. Univ., Nat. Sci. 37, No. 3, 14-19 (2021). MSC: 11M36 30D35 PDFBibTeX XMLCite \textit{A. Wu} and \textit{W. Lin}, J. Fujian Norm. Univ., Nat. Sci. 37, No. 3, 14--19 (2021; Zbl 1488.11140)
Garunkštis, Ramūnas Selberg zeta-function associated to compact Riemann surface is prime. (English) Zbl 1481.11086 Rev. Unión Mat. Argent. 62, No. 1, 213-218 (2021). Reviewer: Dongwen Liu (Zhejiang) MSC: 11M36 30D99 PDFBibTeX XMLCite \textit{R. Garunkštis}, Rev. Unión Mat. Argent. 62, No. 1, 213--218 (2021; Zbl 1481.11086) Full Text: DOI
Xue, Hui; Zhu, Daozhou Location of the zeros of certain cuspforms. (English) Zbl 1483.11071 Int. J. Number Theory 17, No. 8, 1899-1903 (2021). Reviewer: Noburo Ishii (Kyoto) MSC: 11F03 11F11 PDFBibTeX XMLCite \textit{H. Xue} and \textit{D. Zhu}, Int. J. Number Theory 17, No. 8, 1899--1903 (2021; Zbl 1483.11071) Full Text: DOI
Kelmer, Dubi; Yu, Shucheng The second moment of the Siegel transform in the space of symplectic lattices. (English) Zbl 1479.11119 Int. Math. Res. Not. 2021, No. 8, 5825-5859 (2021). Reviewer: Alar Leibak (Tallinn) MSC: 11H60 11F55 11P21 PDFBibTeX XMLCite \textit{D. Kelmer} and \textit{S. Yu}, Int. Math. Res. Not. 2021, No. 8, 5825--5859 (2021; Zbl 1479.11119) Full Text: DOI arXiv
Just, Matthew; Schneider, Robert Partition Eisenstein series and semi-modular forms. (English) Zbl 1480.11046 Res. Number Theory 7, No. 4, Paper No. 61, 8 p. (2021). MSC: 11F03 11P81 11F37 11F11 PDFBibTeX XMLCite \textit{M. Just} and \textit{R. Schneider}, Res. Number Theory 7, No. 4, Paper No. 61, 8 p. (2021; Zbl 1480.11046) Full Text: DOI arXiv
Hoffstein, Jeff; Lee, Min; Nastasescu, Maria First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\). (English) Zbl 1487.11048 Res. Number Theory 7, No. 4, Paper No. 60, 44 p. (2021). Reviewer: Thomas Oliver (Nottingham) MSC: 11F67 11M32 11M36 11F66 PDFBibTeX XMLCite \textit{J. Hoffstein} et al., Res. Number Theory 7, No. 4, Paper No. 60, 44 p. (2021; Zbl 1487.11048) Full Text: DOI arXiv
Bandtlow, Oscar F.; Pohl, Anke; Schick, Torben; Weiße, Alexander Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation. (English) Zbl 1492.30002 Stoch. Dyn. 21, No. 3, Article ID 2140005, 30 p. (2021). MSC: 30-08 30F40 37C30 37D35 11M36 58J50 PDFBibTeX XMLCite \textit{O. F. Bandtlow} et al., Stoch. Dyn. 21, No. 3, Article ID 2140005, 30 p. (2021; Zbl 1492.30002) Full Text: DOI arXiv
Goldfeld, Dorian; Miller, Stephen D.; Woodbury, Michael A template method for Fourier coefficients of Langlands Eisenstein series. (English) Zbl 1473.11215 Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 63-117 (2021). MSC: 11S40 11F70 11F30 PDFBibTeX XMLCite \textit{D. Goldfeld} et al., Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 63--117 (2021; Zbl 1473.11215) Full Text: arXiv Link
He, Bing Proofs for two Lambert series identities of Gosper. (English) Zbl 1482.11065 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 136, 6 p. (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11F11 11M36 PDFBibTeX XMLCite \textit{B. He}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 136, 6 p. (2021; Zbl 1482.11065) Full Text: DOI arXiv
Drungilas, Paulius; Garunkštis, Ramūnas; Novikas, Aivaras On second moment of Selberg zeta-function for \(\sigma =1\). (English) Zbl 1476.11118 Result. Math. 76, No. 4, Paper No. 184, 18 p. (2021). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11M26 11M36 11M41 PDFBibTeX XMLCite \textit{P. Drungilas} et al., Result. Math. 76, No. 4, Paper No. 184, 18 p. (2021; Zbl 1476.11118) Full Text: DOI
Belovas, Igoris An inequality for the modified Selberg zeta-function. (English) Zbl 1475.30001 Ramanujan J. 55, No. 3, 1063-1082 (2021). MSC: 30A10 11M36 PDFBibTeX XMLCite \textit{I. Belovas}, Ramanujan J. 55, No. 3, 1063--1082 (2021; Zbl 1475.30001) Full Text: DOI
Avdispahić, Muharem On von Koch theorem for \(\mathrm{PSL}(2,\mathbb{Z})\). (English) Zbl 1468.11182 Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2139-2150 (2021). MSC: 11M36 11F72 58J50 PDFBibTeX XMLCite \textit{M. Avdispahić}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2139--2150 (2021; Zbl 1468.11182) Full Text: DOI
Robles, Nicolas; Roy, Arindam Unexpected average values of generalized von Mangoldt functions in residue classes. (English) Zbl 1469.11384 J. Aust. Math. Soc. 111, No. 1, 127-144 (2021). MSC: 11N37 11M20 11M26 11M36 PDFBibTeX XMLCite \textit{N. Robles} and \textit{A. Roy}, J. Aust. Math. Soc. 111, No. 1, 127--144 (2021; Zbl 1469.11384) Full Text: DOI
Huang, Bingrong Quantum variance for Eisenstein series. (English) Zbl 1475.11094 Int. Math. Res. Not. 2021, No. 2, 1224-1248 (2021). MSC: 11F67 11F11 81Q50 PDFBibTeX XMLCite \textit{B. Huang}, Int. Math. Res. Not. 2021, No. 2, 1224--1248 (2021; Zbl 1475.11094) Full Text: DOI arXiv
Banerjee, Abhijit; Kundu, Arpita Weighted value sharing and uniqueness problems concerning \(L\)-functions and certain meromorphic functions. (English) Zbl 1469.11341 Lith. Math. J. 61, No. 2, 161-179 (2021). MSC: 11M36 30D35 PDFBibTeX XMLCite \textit{A. Banerjee} and \textit{A. Kundu}, Lith. Math. J. 61, No. 2, 161--179 (2021; Zbl 1469.11341) Full Text: DOI
Suzuki, Masatoshi Hamiltonians arising from \(L\)-functions in the Selberg class. (English) Zbl 1479.11154 J. Funct. Anal. 281, No. 8, Article ID 109116, 31 p. (2021). MSC: 11M36 11M41 34A55 11M26 PDFBibTeX XMLCite \textit{M. Suzuki}, J. Funct. Anal. 281, No. 8, Article ID 109116, 31 p. (2021; Zbl 1479.11154) Full Text: DOI arXiv
Ge, Fan; Suriajaya, Ade Irma Note on the number of zeros of \(\zeta^{(k)}(s)\). (English) Zbl 1469.11288 Ramanujan J. 55, No. 2, 661-672 (2021). MSC: 11M06 11M36 PDFBibTeX XMLCite \textit{F. Ge} and \textit{A. I. Suriajaya}, Ramanujan J. 55, No. 2, 661--672 (2021; Zbl 1469.11288) Full Text: DOI arXiv
Inoue, Shōta; Eddin, Sumaia Saad; Suriajaya, Ade Irma Stieltjes constants of \(L\)-functions in the extended Selberg class. (English) Zbl 1475.11156 Ramanujan J. 55, No. 2, 609-621 (2021). MSC: 11M36 11Y60 PDFBibTeX XMLCite \textit{S. Inoue} et al., Ramanujan J. 55, No. 2, 609--621 (2021; Zbl 1475.11156) Full Text: DOI
Shukla, Alok Pullback of Klingen Eisenstein series and certain critical L-values identities. (English) Zbl 1481.11053 Ramanujan J. 55, No. 2, 471-495 (2021). Reviewer: Fabian Januszewski (Paderborn) MSC: 11F46 11F67 PDFBibTeX XMLCite \textit{A. Shukla}, Ramanujan J. 55, No. 2, 471--495 (2021; Zbl 1481.11053) Full Text: DOI arXiv
Šimėnas, Raivydas Zeros of the higher-order derivatives of the functions belonging to the extended Selberg class. (English) Zbl 1469.11345 Lith. Math. J. 61, No. 1, 87-95 (2021). MSC: 11M36 11M41 PDFBibTeX XMLCite \textit{R. Šimėnas}, Lith. Math. J. 61, No. 1, 87--95 (2021; Zbl 1469.11345) Full Text: DOI
Gourevitch, Dmitry; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel; Sahi, Siddhartha Eulerianity of Fourier coefficients of automorphic forms. (English) Zbl 1482.11071 Represent. Theory 25, 481-507 (2021). Reviewer: Caihua Luo (Göteborg) MSC: 11F30 11F70 22E55 20G45 PDFBibTeX XMLCite \textit{D. Gourevitch} et al., Represent. Theory 25, 481--507 (2021; Zbl 1482.11071) Full Text: DOI arXiv
DeCelles, Amy T. Global automorphic Sobolev theory and the automorphic heat kernel. (English) Zbl 1477.11102 Ill. J. Math. 65, No. 2, 261-286 (2021). MSC: 11F72 35K08 46E35 47D06 58J35 PDFBibTeX XMLCite \textit{A. T. DeCelles}, Ill. J. Math. 65, No. 2, 261--286 (2021; Zbl 1477.11102) Full Text: DOI arXiv
Mishou, Hidehiko Joint universality theorem of Selberg zeta functions for principal congruence subgroups. (English) Zbl 1482.11118 J. Number Theory 227, 235-264 (2021). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11M36 PDFBibTeX XMLCite \textit{H. Mishou}, J. Number Theory 227, 235--264 (2021; Zbl 1482.11118) Full Text: DOI
Lü, Feng; Lü, Weiran A remark on uniqueness of \(L\)-functions in the extended Selberg class. (English) Zbl 1469.30070 Colloq. Math. 165, No. 1, 131-138 (2021). MSC: 30D35 11M36 PDFBibTeX XMLCite \textit{F. Lü} and \textit{W. Lü}, Colloq. Math. 165, No. 1, 131--138 (2021; Zbl 1469.30070) Full Text: DOI
Bouganis, Thanasis; Mercuri, Salvatore On the Rankin-Selberg method for vector-valued Siegel modular forms. (English) Zbl 1472.11143 Int. J. Number Theory 17, No. 5, 1207-1242 (2021). MSC: 11F46 11S40 11F27 11M41 PDFBibTeX XMLCite \textit{T. Bouganis} and \textit{S. Mercuri}, Int. J. Number Theory 17, No. 5, 1207--1242 (2021; Zbl 1472.11143) Full Text: DOI arXiv
Kumar, K. Senthil Linear dependence of quasi-periods over the rationals. (English) Zbl 1477.11126 C. R., Math., Acad. Sci. Paris 359, No. 4, 409-414 (2021). Reviewer: Stéphane Fischler (Paris) MSC: 11J72 11J89 PDFBibTeX XMLCite \textit{K. S. Kumar}, C. R., Math., Acad. Sci. Paris 359, No. 4, 409--414 (2021; Zbl 1477.11126) Full Text: DOI
Konno, Norio; Sato, Iwao; Segawa, Etsuo A zeta function related to the transition matrix of the discrete-time quantum walk on a graph. (English) Zbl 1466.81026 Discrete Math. 344, No. 7, Article ID 112412, 12 p. (2021). MSC: 81Q35 05C81 11M36 05E30 60G50 82B41 PDFBibTeX XMLCite \textit{N. Konno} et al., Discrete Math. 344, No. 7, Article ID 112412, 12 p. (2021; Zbl 1466.81026) Full Text: DOI arXiv
Mertens, Michael H.; Ono, Ken; Rolen, Larry Mock modular Eisenstein series with Nebentypus. (English) Zbl 1471.11136 Int. J. Number Theory 17, No. 3, 683-697 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F03 11F37 11F30 PDFBibTeX XMLCite \textit{M. H. Mertens} et al., Int. J. Number Theory 17, No. 3, 683--697 (2021; Zbl 1471.11136) Full Text: DOI arXiv
Xiong, Ran A note on vector-valued Eisenstein series of weight \(3/2\). (English) Zbl 1473.11094 Bull. Korean Math. Soc. 58, No. 2, 507-514 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 11F27 11E41 PDFBibTeX XMLCite \textit{R. Xiong}, Bull. Korean Math. Soc. 58, No. 2, 507--514 (2021; Zbl 1473.11094) Full Text: DOI
D’Hoker, Eric; Kleinschmidt, Axel; Schlotterer, Oliver Elliptic modular graph forms. I: Identities and generating series. (English) Zbl 1461.81089 J. High Energy Phys. 2021, No. 3, Paper No. 151, 59 p. (2021). MSC: 81T20 81Q30 11M36 05C90 PDFBibTeX XMLCite \textit{E. D'Hoker} et al., J. High Energy Phys. 2021, No. 3, Paper No. 151, 59 p. (2021; Zbl 1461.81089) Full Text: DOI arXiv
Liu, Huake; Wang, Tianqin Fourier coefficients of real analytic Eisenstein series at various cusps. II. (English) Zbl 1479.11070 Ramanujan J. 55, No. 1, 271-296 (2021). MSC: 11F30 11F12 11L05 PDFBibTeX XMLCite \textit{H. Liu} and \textit{T. Wang}, Ramanujan J. 55, No. 1, 271--296 (2021; Zbl 1479.11070) Full Text: DOI
Chen, Dandan; Chen, Rong On a class of elliptic functions associated with even Dirichlet characters. (English) Zbl 1467.33019 Ramanujan J. 55, No. 1, 175-203 (2021). MSC: 33E05 11M36 14H42 PDFBibTeX XMLCite \textit{D. Chen} and \textit{R. Chen}, Ramanujan J. 55, No. 1, 175--203 (2021; Zbl 1467.33019) Full Text: DOI arXiv
Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf On the standard \(L\)-function for \(\mathrm{GSp}_{2n}\times\mathrm{GL}_1\) and algebraicity of symmetric fourth \(L\)-values for \(\mathrm{GL}_2\). (English) Zbl 07341608 Ann. Math. Qué. 45, No. 1, 113-159 (2021). Reviewer: Yuanqing Cai (Kanazawa) MSC: 11F67 11F46 11F70 PDFBibTeX XMLCite \textit{A. Pitale} et al., Ann. Math. Qué. 45, No. 1, 113--159 (2021; Zbl 07341608) Full Text: DOI arXiv
Gao, Fan Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series. (English) Zbl 1506.11064 Doc. Math. 26, 465-522 (2021). MSC: 11F27 11F66 11F70 22E50 PDFBibTeX XMLCite \textit{F. Gao}, Doc. Math. 26, 465--522 (2021; Zbl 1506.11064) Full Text: DOI
Erban, Radek; Van Gorder, Robert A. On the sum of positive divisors functions. (English) Zbl 1478.11063 Res. Number Theory 7, No. 2, Paper No. 25, 10 p. (2021). MSC: 11F11 11A25 34A12 34C05 37A44 PDFBibTeX XMLCite \textit{R. Erban} and \textit{R. A. Van Gorder}, Res. Number Theory 7, No. 2, Paper No. 25, 10 p. (2021; Zbl 1478.11063) Full Text: DOI
Franke, Johann Rational functions, cotangent sums and Eichler integrals. (English) Zbl 1476.11105 Res. Number Theory 7, No. 2, Paper No. 23, 51 p. (2021). Reviewer: Jiyou Li (Shanghai) MSC: 11L03 11F11 PDFBibTeX XMLCite \textit{J. Franke}, Res. Number Theory 7, No. 2, Paper No. 23, 51 p. (2021; Zbl 1476.11105) Full Text: DOI
Eum, Ick Sun On the representation numbers satisfying partially multiplicative relations. (English) Zbl 1467.11041 J. Number Theory 224, 1-12 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11F11 11F25 PDFBibTeX XMLCite \textit{I. S. Eum}, J. Number Theory 224, 1--12 (2021; Zbl 1467.11041) Full Text: DOI
van Ittersum, Jan-Willem M. A symmetric Bloch-Okounkov theorem. (English) Zbl 1470.11077 Res. Math. Sci. 8, No. 2, Paper No. 19, 42 p. (2021). MSC: 11F11 05A17 05E05 16S99 PDFBibTeX XMLCite \textit{J.-W. M. van Ittersum}, Res. Math. Sci. 8, No. 2, Paper No. 19, 42 p. (2021; Zbl 1470.11077) Full Text: DOI arXiv
Du, Tuoping Weak Siegel-Weil formula for \(\mathbb{M}_2(\mathbb{Q})\) and arithmetic on quaternions. (English) Zbl 1475.11213 Trans. Am. Math. Soc. 374, No. 5, 3397-3426 (2021). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11R52 11G18 11F32 11F41 11S23 PDFBibTeX XMLCite \textit{T. Du}, Trans. Am. Math. Soc. 374, No. 5, 3397--3426 (2021; Zbl 1475.11213) Full Text: DOI arXiv
Liu, Zheng Ordinary families of Klingen Eisenstein series on symplectic groups. (English) Zbl 1470.11094 Trans. Am. Math. Soc. 374, No. 5, 3331-3395 (2021). MSC: 11F33 11F30 11F46 11G18 PDFBibTeX XMLCite \textit{Z. Liu}, Trans. Am. Math. Soc. 374, No. 5, 3331--3395 (2021; Zbl 1470.11094) Full Text: DOI
Fucci, Guglielmo; Kirsten, Klaus; Muñoz-Castañeda, Jose M. Casimir pistons with generalized boundary conditions: a step forward. (English) Zbl 1460.81095 Anal. Math. Phys. 11, No. 2, Paper No. 70, 28 p. (2021). MSC: 81T55 81T20 30F10 81U99 34B08 35J25 11M36 47B25 47A10 PDFBibTeX XMLCite \textit{G. Fucci} et al., Anal. Math. Phys. 11, No. 2, Paper No. 70, 28 p. (2021; Zbl 1460.81095) Full Text: DOI arXiv
Heim, Bernhard; Neuhauser, Markus Polynomials and reciprocals of Eisenstein series. (English) Zbl 1468.11104 Int. J. Number Theory 17, No. 2, 487-497 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F30 11M36 26C10 05A17 11B37 PDFBibTeX XMLCite \textit{B. Heim} and \textit{M. Neuhauser}, Int. J. Number Theory 17, No. 2, 487--497 (2021; Zbl 1468.11104) Full Text: DOI
Nguyen, Evuilynn; Ramirez, Juan J.; Young, Matthew P. The kernel of newform Dedekind sums. (English) Zbl 1469.11074 J. Number Theory 223, 53-63 (2021). MSC: 11F20 11F03 11F30 PDFBibTeX XMLCite \textit{E. Nguyen} et al., J. Number Theory 223, 53--63 (2021; Zbl 1469.11074) Full Text: DOI arXiv
Dang, Nguyen Viet; Zhang, Bin Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups. (English) Zbl 1460.81061 J. Eur. Math. Soc. (JEMS) 23, No. 2, 503-556 (2021). MSC: 81T20 81T15 58J50 81T18 11M36 35B44 35K08 81T08 PDFBibTeX XMLCite \textit{N. V. Dang} and \textit{B. Zhang}, J. Eur. Math. Soc. (JEMS) 23, No. 2, 503--556 (2021; Zbl 1460.81061) Full Text: DOI arXiv
Cesaratto, Eda; Vallée, Brigitte Gaussian behavior of quadratic irrationals. (English) Zbl 1467.11073 Acta Arith. 197, No. 2, 159-205 (2021). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11K50 11M36 37D20 60F05 PDFBibTeX XMLCite \textit{E. Cesaratto} and \textit{B. Vallée}, Acta Arith. 197, No. 2, 159--205 (2021; Zbl 1467.11073) Full Text: DOI arXiv
Nordentoft, Asbjørn Christian Hybrid subconvexity for class group \(L \)-functions and uniform sup norm bounds of Eisenstein series. (English) Zbl 1470.11117 Forum Math. 33, No. 1, 39-57 (2021). MSC: 11F66 11F03 11L07 PDFBibTeX XMLCite \textit{A. C. Nordentoft}, Forum Math. 33, No. 1, 39--57 (2021; Zbl 1470.11117) Full Text: DOI arXiv
Bouganis, Thanasis On the standard \(L\)-function attached to quaternionic modular forms. (English) Zbl 1469.11119 J. Number Theory 222, 293-345 (2021). MSC: 11F55 11S40 11F27 11M36 PDFBibTeX XMLCite \textit{T. Bouganis}, J. Number Theory 222, 293--345 (2021; Zbl 1469.11119) Full Text: DOI
Wang, Jun Towards a conjecture of Sharifi. (English) Zbl 1469.11428 J. Number Theory 222, 204-232 (2021). MSC: 11R23 11F67 11R34 11S40 PDFBibTeX XMLCite \textit{J. Wang}, J. Number Theory 222, 204--232 (2021; Zbl 1469.11428) Full Text: DOI
Gekeler, Ernst-Ulrich On Drinfeld modular forms of higher rank. V: the behavior of distinguished forms on the fundamental domain. (English) Zbl 1480.11056 J. Number Theory 222, 75-114 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11F52 11G09 PDFBibTeX XMLCite \textit{E.-U. Gekeler}, J. Number Theory 222, 75--114 (2021; Zbl 1480.11056) Full Text: DOI arXiv
Wakayama, Masato Number theoretic study in quantum interactions. (English) Zbl 1459.81041 Takagi, Tsuyoshi (ed.) et al., International symposium on mathematics, quantum theory, and cryptography. Proceedings of MQC 2019, Fukuoka, Japan, September 25–27, 2019. Singapore: Springer. Math. Ind. (Tokyo) 33, 95-101 (2021). MSC: 81Q05 35P20 35P15 14H50 14H52 11M36 11E04 PDFBibTeX XMLCite \textit{M. Wakayama}, Math. Ind. (Tokyo) 33, 95--101 (2021; Zbl 1459.81041) Full Text: DOI
Dorigoni, Daniele; Kleinschmidt, Axel Resurgent expansion of Lambert series and iterated Eisenstein integrals. (English) Zbl 1462.11040 Commun. Number Theory Phys. 15, No. 1, 1-57 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 PDFBibTeX XMLCite \textit{D. Dorigoni} and \textit{A. Kleinschmidt}, Commun. Number Theory Phys. 15, No. 1, 1--57 (2021; Zbl 1462.11040) Full Text: DOI arXiv
Šimėnas, Raivydas The distribution of zeros of the derivative of the unmodified Selberg zeta-function associated to finite volume Riemann surfaces. (English) Zbl 1469.11344 Colloq. Math. 163, No. 2, 171-188 (2021). MSC: 11M36 PDFBibTeX XMLCite \textit{R. Šimėnas}, Colloq. Math. 163, No. 2, 171--188 (2021; Zbl 1469.11344) Full Text: DOI
Ginzburg, David; Soudry, David Two identities relating Eisenstein series on classical groups. (English) Zbl 1482.11077 J. Number Theory 221, 1-108 (2021). Reviewer: Baiying Liu (West Lafayette) MSC: 11F70 22E55 PDFBibTeX XMLCite \textit{D. Ginzburg} and \textit{D. Soudry}, J. Number Theory 221, 1--108 (2021; Zbl 1482.11077) Full Text: DOI arXiv
Diamantis, Nikolaos; Rolen, Larry Eichler cohomology and zeros of polynomials associated to derivatives of \(L\)-functions. (English) Zbl 1472.11152 J. Reine Angew. Math. 770, 1-25 (2021). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F67 11F11 11F12 PDFBibTeX XMLCite \textit{N. Diamantis} and \textit{L. Rolen}, J. Reine Angew. Math. 770, 1--25 (2021; Zbl 1472.11152) Full Text: DOI arXiv
Grbac, Neven; Schwermer, Joachim Eisenstein series for rank one unitary groups and some cohomological applications. (English) Zbl 1459.11128 Adv. Math. 376, Article ID 107438, 49 p. (2021). Reviewer: Anton Deitmar (Tübingen) MSC: 11F75 11M36 PDFBibTeX XMLCite \textit{N. Grbac} and \textit{J. Schwermer}, Adv. Math. 376, Article ID 107438, 49 p. (2021; Zbl 1459.11128) Full Text: DOI Link
Griffin, Trevor; Kenshur, Nathan; Price, Abigail; Vandenberg-Daves, Bradshaw; Xue, Hui; Zhu, Daozhou Monomials of Eisenstein series. (English) Zbl 1456.11054 J. Number Theory 219, 445-459 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F11 11F03 11F67 PDFBibTeX XMLCite \textit{T. Griffin} et al., J. Number Theory 219, 445--459 (2021; Zbl 1456.11054) Full Text: DOI
Horinaga, Shuji Nearly holomorphic automorphic forms on \(\text{SL}_2\). (English) Zbl 1469.11107 J. Number Theory 219, 247-282 (2021). MSC: 11F41 11F70 PDFBibTeX XMLCite \textit{S. Horinaga}, J. Number Theory 219, 247--282 (2021; Zbl 1469.11107) Full Text: DOI arXiv
Soares, Louis Uniform resonance free regions for convex cocompact hyperbolic surfaces and expanders. arXiv:2101.05757 Preprint, arXiv:2101.05757 [math.SP] (2021). MSC: 58J50 11M36 37C30 37D35 05C90 BibTeX Cite \textit{L. Soares}, ``Uniform resonance free regions for convex cocompact hyperbolic surfaces and expanders'', Preprint, arXiv:2101.05757 [math.SP] (2021) Full Text: arXiv OA License
Mekkaoui, Mohammed; Derbal, Abdallah; Mazhouda, Kamel On some sums at the \(a\)-points of the \(k\)-th derivatives of the Dirichlet \(L\)-functions. (English) Zbl 1493.11123 Turk. J. Math. 44, No. 5, 1544-1560 (2020). MSC: 11M06 11M26 11M36 PDFBibTeX XMLCite \textit{M. Mekkaoui} et al., Turk. J. Math. 44, No. 5, 1544--1560 (2020; Zbl 1493.11123) Full Text: DOI
Chen, Wei; Wang, Qiong Algebraic differential independence concerning the Euler \(\Gamma\)-function and Dirichlet series. (English) Zbl 1499.11281 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 4, 1035-1044 (2020). MSC: 11M36 11M06 33B15 30D30 34M15 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Q. Wang}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 4, 1035--1044 (2020; Zbl 1499.11281) Full Text: DOI
Chen, Junfan; Qiu, Chunhui Uniqueness theorems of L-functions in the extended Selberg class. (English) Zbl 1499.11280 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 4, 970-980 (2020). MSC: 11M36 30D35 PDFBibTeX XMLCite \textit{J. Chen} and \textit{C. Qiu}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 4, 970--980 (2020; Zbl 1499.11280) Full Text: DOI
Burrin, Claire; Nevo, Amos; Rühr, Rene; Weiss, Barak Effective counting for discrete lattice orbits in the plane via Eisenstein series. (English) Zbl 1478.11062 Enseign. Math. (2) 66, No. 3-4, 259-304 (2020). MSC: 11F11 37D40 PDFBibTeX XMLCite \textit{C. Burrin} et al., Enseign. Math. (2) 66, No. 3--4, 259--304 (2020; Zbl 1478.11062) Full Text: DOI arXiv
Bllaca, Kajtaz H. Upper bounds of some special zeros for the Rankin-Selberg \(L\)-function. (English) Zbl 1475.11157 Math. Slovaca 70, No. 4, 795-806 (2020). MSC: 11M41 11M36 PDFBibTeX XMLCite \textit{K. H. Bllaca}, Math. Slovaca 70, No. 4, 795--806 (2020; Zbl 1475.11157) Full Text: DOI
Avdispahić, Muharem Prime geodesic theorem for the modular surface. (English) Zbl 1488.11136 Hacet. J. Math. Stat. 49, No. 2, 505-509 (2020). MSC: 11M36 11F72 58J50 PDFBibTeX XMLCite \textit{M. Avdispahić}, Hacet. J. Math. Stat. 49, No. 2, 505--509 (2020; Zbl 1488.11136) Full Text: DOI arXiv
Hauffe-Waschbüsch, Adrian; Krieg, Aloys On Hecke theory for Hermitian modular forms. (English) Zbl 1469.11121 Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 73-88 (2020). MSC: 11F55 11F60 PDFBibTeX XMLCite \textit{A. Hauffe-Waschbüsch} and \textit{A. Krieg}, Springer Proc. Math. Stat. 340, 73--88 (2020; Zbl 1469.11121) Full Text: DOI arXiv
Aoki, Yutaro The mean square of the logarithmic derivative of the Selberg zeta function for cocompact discrete subgroups. (English) Zbl 1469.11340 Kyushu J. Math. 74, No. 2, 353-373 (2020). MSC: 11M36 PDFBibTeX XMLCite \textit{Y. Aoki}, Kyushu J. Math. 74, No. 2, 353--373 (2020; Zbl 1469.11340) Full Text: DOI
Sahoo, Pulak; Sarkar, Anjan On the uniqueness of L-function and meromorphic function sharing one or two sets. (English) Zbl 1474.11153 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 66, No. 1, 81-92 (2020). MSC: 11M36 30D35 PDFBibTeX XMLCite \textit{P. Sahoo} and \textit{A. Sarkar}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 66, No. 1, 81--92 (2020; Zbl 1474.11153)
Gierszewski, Karol Some remarks on twists and Euler products in the Selberg class. (English) Zbl 1469.11343 Riv. Mat. Univ. Parma (N.S.) 11, No. 2, 293-299 (2020). MSC: 11M36 11F66 PDFBibTeX XMLCite \textit{K. Gierszewski}, Riv. Mat. Univ. Parma (N.S.) 11, No. 2, 293--299 (2020; Zbl 1469.11343) Full Text: Link
Vasuki, K. R.; Anusha, T.; Bhuvan, E. N. Level 28 analogues of Ramanujan type series for \(\frac 1\pi\). (English) Zbl 1459.11106 Indian J. Math. 62, No. 1, 59-79 (2020). MSC: 11F20 11M36 PDFBibTeX XMLCite \textit{K. R. Vasuki} et al., Indian J. Math. 62, No. 1, 59--79 (2020; Zbl 1459.11106)
Jorgenson, Jay; O’Sullivan, Cormac; Smajlović, Lejla Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series. (English) Zbl 1466.11024 Res. Number Theory 6, No. 2, Paper No. 22, 42 p. (2020). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11F20 11F03 11F11 PDFBibTeX XMLCite \textit{J. Jorgenson} et al., Res. Number Theory 6, No. 2, Paper No. 22, 42 p. (2020; Zbl 1466.11024) Full Text: DOI arXiv
Ntienjem, Ebénézer Evaluation of convolution sums entailing mixed divisor functions for a class of levels. (English) Zbl 1472.11039 N. Z. J. Math. 50, 125-180 (2020). MSC: 11A25 11F11 11F20 11E20 11E25 11F27 PDFBibTeX XMLCite \textit{E. Ntienjem}, N. Z. J. Math. 50, 125--180 (2020; Zbl 1472.11039) Full Text: arXiv
Friedman, Joshua S.; Jorgenson, Jay; Smajlović, Lejla The determinant of the Lax-Phillips scattering operator. (Le déterminant de l’opérateur de diffusion Lax-Phillips.) (English. French summary) Zbl 1469.11342 Ann. Inst. Fourier 70, No. 3, 915-947 (2020). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M36 PDFBibTeX XMLCite \textit{J. S. Friedman} et al., Ann. Inst. Fourier 70, No. 3, 915--947 (2020; Zbl 1469.11342) Full Text: DOI arXiv
Ginzburg, David; Soudry, David Integrals derived from the doubling method. (English) Zbl 1477.11100 Int. Math. Res. Not. 2020, No. 24, 10553-10596 (2020). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F70 22E55 PDFBibTeX XMLCite \textit{D. Ginzburg} and \textit{D. Soudry}, Int. Math. Res. Not. 2020, No. 24, 10553--10596 (2020; Zbl 1477.11100) Full Text: DOI arXiv
Djanković, Goran; Khan, Rizwanur On the random wave conjecture for Eisenstein series. (English) Zbl 1465.11097 Int. Math. Res. Not. 2020, No. 23, 9694-9716 (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F11 11F72 30B50 81Q50 35L05 PDFBibTeX XMLCite \textit{G. Djanković} and \textit{R. Khan}, Int. Math. Res. Not. 2020, No. 23, 9694--9716 (2020; Zbl 1465.11097) Full Text: DOI arXiv